[{"publication_status":"published","citation":{"short":"J. Diederich, (2025).","mla":"Diederich, Julia. <i>Rezension von: Julia Peuke “Was bleibt - die DDR aus der Perspektive von Kindern: eine qualitative Studie zum historisch-politischen Lernen im Sachunterricht” (Dissertation)</i>. Sehepunkte 25 (2025), Nr. 7/8, URL: https://www.sehepunkte.de/2025/07/39871.html, 2025.","bibtex":"@article{Diederich_2025, title={Rezension von: Julia Peuke “Was bleibt - die DDR aus der Perspektive von Kindern: eine qualitative Studie zum historisch-politischen Lernen im Sachunterricht” (Dissertation)}, publisher={Sehepunkte 25 (2025), Nr. 7/8, URL: https://www.sehepunkte.de/2025/07/39871.html}, author={Diederich, Julia}, year={2025} }","apa":"Diederich, J. (2025). <i>Rezension von: Julia Peuke “Was bleibt - die DDR aus der Perspektive von Kindern: eine qualitative Studie zum historisch-politischen Lernen im Sachunterricht” (Dissertation)</i>. Sehepunkte 25 (2025), Nr. 7/8, URL: https://www.sehepunkte.de/2025/07/39871.html.","ama":"Diederich J. Rezension von: Julia Peuke “Was bleibt - die DDR aus der Perspektive von Kindern: eine qualitative Studie zum historisch-politischen Lernen im Sachunterricht” (Dissertation). Published online 2025.","ieee":"J. Diederich, “Rezension von: Julia Peuke ‘Was bleibt - die DDR aus der Perspektive von Kindern: eine qualitative Studie zum historisch-politischen Lernen im Sachunterricht’ (Dissertation).” Sehepunkte 25 (2025), Nr. 7/8, URL: https://www.sehepunkte.de/2025/07/39871.html, 2025.","chicago":"Diederich, Julia. “Rezension von: Julia Peuke ‘Was bleibt - die DDR aus der Perspektive von Kindern: eine qualitative Studie zum historisch-politischen Lernen im Sachunterricht’ (Dissertation).” Sehepunkte 25 (2025), Nr. 7/8, URL: https://www.sehepunkte.de/2025/07/39871.html, 2025."},"year":"2025","date_created":"2026-01-27T10:31:38Z","author":[{"first_name":"Julia","full_name":"Diederich, Julia","id":"13796","last_name":"Diederich"}],"oa":"1","publisher":"Sehepunkte 25 (2025), Nr. 7/8, URL: https://www.sehepunkte.de/2025/07/39871.html","date_updated":"2026-04-22T08:26:27Z","main_file_link":[{"open_access":"1","url":"https://www.sehepunkte.de/2025/07/39871.html"}],"title":"Rezension von: Julia Peuke \"Was bleibt - die DDR aus der Perspektive von Kindern: eine qualitative Studie zum historisch-politischen Lernen im Sachunterricht\" (Dissertation)","type":"review","status":"public","user_id":"13796","_id":"63753","language":[{"iso":"ger"}]},{"author":[{"last_name":"Drepper","full_name":"Drepper, Laura","first_name":"Laura"},{"first_name":"Johanna","full_name":"Hoffmann, Johanna","last_name":"Hoffmann"}],"date_created":"2026-04-22T09:37:23Z","date_updated":"2026-04-22T09:44:20Z","doi":"10.15460/eder.9.3.2379","title":"Perspektiven von Schüler:innen in der designbasierten Forschung","issue":"3","publication_status":"published","publication_identifier":{"issn":["2511-0667"]},"citation":{"ieee":"L. Drepper and J. Hoffmann, “Perspektiven von Schüler:innen in der designbasierten Forschung,” <i>EDeR. Educational Design Research</i>, no. 3, 2025, doi: <a href=\"https://doi.org/10.15460/eder.9.3.2379\">10.15460/eder.9.3.2379</a>.","chicago":"Drepper, Laura, and Johanna Hoffmann. “Perspektiven von Schüler:innen in der designbasierten Forschung.” <i>EDeR. Educational Design Research</i>, no. 3 (2025). <a href=\"https://doi.org/10.15460/eder.9.3.2379\">https://doi.org/10.15460/eder.9.3.2379</a>.","bibtex":"@article{Drepper_Hoffmann_2025, title={Perspektiven von Schüler:innen in der designbasierten Forschung}, DOI={<a href=\"https://doi.org/10.15460/eder.9.3.2379\">10.15460/eder.9.3.2379</a>}, number={3}, journal={EDeR. Educational Design Research}, author={Drepper, Laura and Hoffmann, Johanna}, year={2025} }","short":"L. Drepper, J. Hoffmann, EDeR. Educational Design Research (2025).","mla":"Drepper, Laura, and Johanna Hoffmann. “Perspektiven von Schüler:innen in der designbasierten Forschung.” <i>EDeR. Educational Design Research</i>, no. 3, 2025, doi:<a href=\"https://doi.org/10.15460/eder.9.3.2379\">10.15460/eder.9.3.2379</a>.","apa":"Drepper, L., &#38; Hoffmann, J. (2025). Perspektiven von Schüler:innen in der designbasierten Forschung. <i>EDeR. Educational Design Research</i>, <i>3</i>. <a href=\"https://doi.org/10.15460/eder.9.3.2379\">https://doi.org/10.15460/eder.9.3.2379</a>","ama":"Drepper L, Hoffmann J. Perspektiven von Schüler:innen in der designbasierten Forschung. <i>EDeR Educational Design Research</i>. 2025;(3). doi:<a href=\"https://doi.org/10.15460/eder.9.3.2379\">10.15460/eder.9.3.2379</a>"},"year":"2025","user_id":"40689","_id":"65485","alternative_title":["Qualitative Leitfadeninterviews mit Viertklässler:innen zum Lernsetting Lesen mit Rätseln"],"language":[{"iso":"ger"}],"article_type":"original","type":"journal_article","publication":"EDeR. Educational Design Research","status":"public","abstract":[{"text":"m Beitrag werden Ergebnisse der Design-Based-Research-Studie Studierende als Lesecoaches dargestellt, in der das Lernsetting Lesen mit Rätseln zum Lesenlernen im 3./4. Schuljahr entwickelt wurde. Dieses zeichnet sich durch eine mehrdimensionale, adaptive und kindorientierte Ausrichtung aus. In den Fokus wird die Perspektive von Schüler:innen genommen, die das Lernsetting über zehn Wochen erprobt haben. Ausgehend von qualitativen Leitfadeninterviews mit einer Teilstichprobe (n=12) beurteilen die Kinder die Rätselaufgaben, die Arbeit mit einem anderen Kind und die Arbeit mit einem digitalen Audiostift. Im Sinne der designbasierten Forschung werden aus den Beurteilungen der Kinder Gestaltungsprinzipien zur Weiterentwicklung des Lernsettings abgeleitet. Die Ergebnisse zeigen, dass die Perspektive der Schüler:innen in der designbasierten Forschung eine Bereicherung darstellen kann.","lang":"ger"}]},{"issue":"1","publication_status":"published","publication_identifier":{"issn":["0418-9426","2196-8756"]},"citation":{"bibtex":"@article{Drepper_Uhl_2025, title={Deutschlehrkräfte als Co-Designer in der designbasierten Forschung. Wie Theorie und Praxis den Deutschunterricht weiterentwickeln}, volume={72}, DOI={<a href=\"https://doi.org/10.13109/mdge.2025.72.1.89\">10.13109/mdge.2025.72.1.89</a>}, number={1}, journal={Mitteilungen des Deutschen Germanistenverbandes}, author={Drepper, Laura and Uhl, Benjamin}, year={2025}, pages={89–110} }","mla":"Drepper, Laura, and Benjamin Uhl. “Deutschlehrkräfte als Co-Designer in der designbasierten Forschung. Wie Theorie und Praxis den Deutschunterricht weiterentwickeln.” <i>Mitteilungen des Deutschen Germanistenverbandes</i>, vol. 72, no. 1, 2025, pp. 89–110, doi:<a href=\"https://doi.org/10.13109/mdge.2025.72.1.89\">10.13109/mdge.2025.72.1.89</a>.","short":"L. Drepper, B. Uhl, Mitteilungen des Deutschen Germanistenverbandes 72 (2025) 89–110.","ama":"Drepper L, Uhl B. Deutschlehrkräfte als Co-Designer in der designbasierten Forschung. Wie Theorie und Praxis den Deutschunterricht weiterentwickeln. <i>Mitteilungen des Deutschen Germanistenverbandes</i>. 2025;72(1):89-110. doi:<a href=\"https://doi.org/10.13109/mdge.2025.72.1.89\">10.13109/mdge.2025.72.1.89</a>","apa":"Drepper, L., &#38; Uhl, B. (2025). Deutschlehrkräfte als Co-Designer in der designbasierten Forschung. Wie Theorie und Praxis den Deutschunterricht weiterentwickeln. <i>Mitteilungen des Deutschen Germanistenverbandes</i>, <i>72</i>(1), 89–110. <a href=\"https://doi.org/10.13109/mdge.2025.72.1.89\">https://doi.org/10.13109/mdge.2025.72.1.89</a>","ieee":"L. Drepper and B. Uhl, “Deutschlehrkräfte als Co-Designer in der designbasierten Forschung. Wie Theorie und Praxis den Deutschunterricht weiterentwickeln,” <i>Mitteilungen des Deutschen Germanistenverbandes</i>, vol. 72, no. 1, pp. 89–110, 2025, doi: <a href=\"https://doi.org/10.13109/mdge.2025.72.1.89\">10.13109/mdge.2025.72.1.89</a>.","chicago":"Drepper, Laura, and Benjamin Uhl. “Deutschlehrkräfte als Co-Designer in der designbasierten Forschung. Wie Theorie und Praxis den Deutschunterricht weiterentwickeln.” <i>Mitteilungen des Deutschen Germanistenverbandes</i> 72, no. 1 (2025): 89–110. <a href=\"https://doi.org/10.13109/mdge.2025.72.1.89\">https://doi.org/10.13109/mdge.2025.72.1.89</a>."},"page":"89-110","intvolume":"        72","year":"2025","date_created":"2026-04-22T09:42:41Z","author":[{"full_name":"Drepper, Laura","last_name":"Drepper","first_name":"Laura"},{"full_name":"Uhl, Benjamin","last_name":"Uhl","first_name":"Benjamin"}],"volume":72,"date_updated":"2026-04-22T09:48:56Z","doi":"10.13109/mdge.2025.72.1.89","title":"Deutschlehrkräfte als Co-Designer in der designbasierten Forschung. Wie Theorie und Praxis den Deutschunterricht weiterentwickeln","type":"journal_article","publication":"Mitteilungen des Deutschen Germanistenverbandes","status":"public","user_id":"40689","_id":"65487","language":[{"iso":"ger"}],"article_type":"original"},{"date_updated":"2026-04-23T12:20:44Z","publisher":"Springer Science and Business Media LLC","volume":76,"date_created":"2025-12-18T19:03:19Z","author":[{"last_name":"Winkler","id":"31496","full_name":"Winkler, Michael","first_name":"Michael"}],"title":"Large-data solutions in one-dimensional thermoviscoelasticity involving temperature-dependent viscosities","doi":"10.1007/s00033-025-02582-y","publication_identifier":{"issn":["0044-2275","1420-9039"]},"publication_status":"published","issue":"5","year":"2025","intvolume":"        76","citation":{"apa":"Winkler, M. (2025). Large-data solutions in one-dimensional thermoviscoelasticity involving temperature-dependent viscosities. <i>Zeitschrift Für Angewandte Mathematik Und Physik</i>, <i>76</i>(5), Article 192. <a href=\"https://doi.org/10.1007/s00033-025-02582-y\">https://doi.org/10.1007/s00033-025-02582-y</a>","short":"M. Winkler, Zeitschrift Für Angewandte Mathematik Und Physik 76 (2025).","bibtex":"@article{Winkler_2025, title={Large-data solutions in one-dimensional thermoviscoelasticity involving temperature-dependent viscosities}, volume={76}, DOI={<a href=\"https://doi.org/10.1007/s00033-025-02582-y\">10.1007/s00033-025-02582-y</a>}, number={5192}, journal={Zeitschrift für angewandte Mathematik und Physik}, publisher={Springer Science and Business Media LLC}, author={Winkler, Michael}, year={2025} }","mla":"Winkler, Michael. “Large-Data Solutions in One-Dimensional Thermoviscoelasticity Involving Temperature-Dependent Viscosities.” <i>Zeitschrift Für Angewandte Mathematik Und Physik</i>, vol. 76, no. 5, 192, Springer Science and Business Media LLC, 2025, doi:<a href=\"https://doi.org/10.1007/s00033-025-02582-y\">10.1007/s00033-025-02582-y</a>.","chicago":"Winkler, Michael. “Large-Data Solutions in One-Dimensional Thermoviscoelasticity Involving Temperature-Dependent Viscosities.” <i>Zeitschrift Für Angewandte Mathematik Und Physik</i> 76, no. 5 (2025). <a href=\"https://doi.org/10.1007/s00033-025-02582-y\">https://doi.org/10.1007/s00033-025-02582-y</a>.","ieee":"M. Winkler, “Large-data solutions in one-dimensional thermoviscoelasticity involving temperature-dependent viscosities,” <i>Zeitschrift für angewandte Mathematik und Physik</i>, vol. 76, no. 5, Art. no. 192, 2025, doi: <a href=\"https://doi.org/10.1007/s00033-025-02582-y\">10.1007/s00033-025-02582-y</a>.","ama":"Winkler M. Large-data solutions in one-dimensional thermoviscoelasticity involving temperature-dependent viscosities. <i>Zeitschrift für angewandte Mathematik und Physik</i>. 2025;76(5). doi:<a href=\"https://doi.org/10.1007/s00033-025-02582-y\">10.1007/s00033-025-02582-y</a>"},"_id":"63250","project":[{"_id":"245","name":"FOR 5208: Modellbasierte Bestimmung nichtlinearer Eigenschaften von Piezokeramiken für Leistungsschallanwendungen (NEPTUN)"}],"user_id":"31496","article_number":"192","language":[{"iso":"eng"}],"publication":"Zeitschrift für angewandte Mathematik und Physik","type":"journal_article","abstract":[{"text":"<jats:title>Abstract</jats:title>\r\n                  <jats:p>\r\n                    An initial-boundary value problem for\r\n                    <jats:disp-formula>\r\n                      <jats:alternatives>\r\n                        <jats:tex-math>$$\\begin{aligned} \\left\\{ \\begin{array}{ll}u_{tt} = \\big (\\gamma (\\Theta ) u_{xt}\\big )_x + au_{xx} - \\big (f(\\Theta )\\big )_x, \\qquad &amp;  x\\in \\Omega , \\ t&gt;0, \\\\[1mm] \\Theta _t = \\Theta _{xx} + \\gamma (\\Theta ) u_{xt}^2 - f(\\Theta ) u_{xt}, \\qquad &amp;  x\\in \\Omega , \\ t&gt;0, \\end{array} \\right. \\end{aligned}$$</jats:tex-math>\r\n                        <mml:math xmlns:mml=\"http://www.w3.org/1998/Math/MathML\">\r\n                          <mml:mrow>\r\n                            <mml:mtable>\r\n                              <mml:mtr>\r\n                                <mml:mtd>\r\n                                  <mml:mfenced>\r\n                                    <mml:mrow>\r\n                                      <mml:mtable>\r\n                                        <mml:mtr>\r\n                                          <mml:mtd>\r\n                                            <mml:mrow>\r\n                                              <mml:msub>\r\n                                                <mml:mi>u</mml:mi>\r\n                                                <mml:mrow>\r\n                                                  <mml:mi>tt</mml:mi>\r\n                                                </mml:mrow>\r\n                                              </mml:msub>\r\n                                              <mml:mo>=</mml:mo>\r\n                                              <mml:mrow>\r\n                                                <mml:mo>(</mml:mo>\r\n                                              </mml:mrow>\r\n                                              <mml:mi>γ</mml:mi>\r\n                                              <mml:mrow>\r\n                                                <mml:mo>(</mml:mo>\r\n                                                <mml:mi>Θ</mml:mi>\r\n                                                <mml:mo>)</mml:mo>\r\n                                              </mml:mrow>\r\n                                              <mml:msub>\r\n                                                <mml:mi>u</mml:mi>\r\n                                                <mml:mrow>\r\n                                                  <mml:mi>xt</mml:mi>\r\n                                                </mml:mrow>\r\n                                              </mml:msub>\r\n                                              <mml:msub>\r\n                                                <mml:mrow>\r\n                                                  <mml:mo>)</mml:mo>\r\n                                                </mml:mrow>\r\n                                                <mml:mi>x</mml:mi>\r\n                                              </mml:msub>\r\n                                              <mml:mo>+</mml:mo>\r\n                                              <mml:mi>a</mml:mi>\r\n                                              <mml:msub>\r\n                                                <mml:mi>u</mml:mi>\r\n                                                <mml:mrow>\r\n                                                  <mml:mi>xx</mml:mi>\r\n                                                </mml:mrow>\r\n                                              </mml:msub>\r\n                                              <mml:mo>-</mml:mo>\r\n                                              <mml:mrow>\r\n                                                <mml:mo>(</mml:mo>\r\n                                              </mml:mrow>\r\n                                              <mml:mi>f</mml:mi>\r\n                                              <mml:mrow>\r\n                                                <mml:mo>(</mml:mo>\r\n                                                <mml:mi>Θ</mml:mi>\r\n                                                <mml:mo>)</mml:mo>\r\n                                              </mml:mrow>\r\n                                              <mml:msub>\r\n                                                <mml:mrow>\r\n                                                  <mml:mo>)</mml:mo>\r\n                                                </mml:mrow>\r\n                                                <mml:mi>x</mml:mi>\r\n                                              </mml:msub>\r\n                                              <mml:mo>,</mml:mo>\r\n                                              <mml:mspace/>\r\n                                            </mml:mrow>\r\n                                          </mml:mtd>\r\n                                          <mml:mtd>\r\n                                            <mml:mrow>\r\n                                              <mml:mi>x</mml:mi>\r\n                                              <mml:mo>∈</mml:mo>\r\n                                              <mml:mi>Ω</mml:mi>\r\n                                              <mml:mo>,</mml:mo>\r\n                                              <mml:mspace/>\r\n                                              <mml:mi>t</mml:mi>\r\n                                              <mml:mo>&gt;</mml:mo>\r\n                                              <mml:mn>0</mml:mn>\r\n                                              <mml:mo>,</mml:mo>\r\n                                            </mml:mrow>\r\n                                          </mml:mtd>\r\n                                        </mml:mtr>\r\n                                        <mml:mtr>\r\n                                          <mml:mtd>\r\n                                            <mml:mrow>\r\n                                              <mml:mrow/>\r\n                                              <mml:mrow>\r\n                                                <mml:mo>[</mml:mo>\r\n                                                <mml:mn>1</mml:mn>\r\n                                                <mml:mi>m</mml:mi>\r\n                                                <mml:mi>m</mml:mi>\r\n                                                <mml:mo>]</mml:mo>\r\n                                              </mml:mrow>\r\n                                              <mml:msub>\r\n                                                <mml:mi>Θ</mml:mi>\r\n                                                <mml:mi>t</mml:mi>\r\n                                              </mml:msub>\r\n                                              <mml:mo>=</mml:mo>\r\n                                              <mml:msub>\r\n                                                <mml:mi>Θ</mml:mi>\r\n                                                <mml:mrow>\r\n                                                  <mml:mi>xx</mml:mi>\r\n                                                </mml:mrow>\r\n                                              </mml:msub>\r\n                                              <mml:mo>+</mml:mo>\r\n                                              <mml:mi>γ</mml:mi>\r\n                                              <mml:mrow>\r\n                                                <mml:mo>(</mml:mo>\r\n                                                <mml:mi>Θ</mml:mi>\r\n                                                <mml:mo>)</mml:mo>\r\n                                              </mml:mrow>\r\n                                              <mml:msubsup>\r\n                                                <mml:mi>u</mml:mi>\r\n                                                <mml:mrow>\r\n                                                  <mml:mi>xt</mml:mi>\r\n                                                </mml:mrow>\r\n                                                <mml:mn>2</mml:mn>\r\n                                              </mml:msubsup>\r\n                                              <mml:mo>-</mml:mo>\r\n                                              <mml:mi>f</mml:mi>\r\n                                              <mml:mrow>\r\n                                                <mml:mo>(</mml:mo>\r\n                                                <mml:mi>Θ</mml:mi>\r\n                                                <mml:mo>)</mml:mo>\r\n                                              </mml:mrow>\r\n                                              <mml:msub>\r\n                                                <mml:mi>u</mml:mi>\r\n                                                <mml:mrow>\r\n                                                  <mml:mi>xt</mml:mi>\r\n                                                </mml:mrow>\r\n                                              </mml:msub>\r\n                                              <mml:mo>,</mml:mo>\r\n                                              <mml:mspace/>\r\n                                            </mml:mrow>\r\n                                          </mml:mtd>\r\n                                          <mml:mtd>\r\n                                            <mml:mrow>\r\n                                              <mml:mi>x</mml:mi>\r\n                                              <mml:mo>∈</mml:mo>\r\n                                              <mml:mi>Ω</mml:mi>\r\n                                              <mml:mo>,</mml:mo>\r\n                                              <mml:mspace/>\r\n                                              <mml:mi>t</mml:mi>\r\n                                              <mml:mo>&gt;</mml:mo>\r\n                                              <mml:mn>0</mml:mn>\r\n                                              <mml:mo>,</mml:mo>\r\n                                            </mml:mrow>\r\n                                          </mml:mtd>\r\n                                        </mml:mtr>\r\n                                      </mml:mtable>\r\n                                    </mml:mrow>\r\n                                  </mml:mfenced>\r\n                                </mml:mtd>\r\n                              </mml:mtr>\r\n                            </mml:mtable>\r\n                          </mml:mrow>\r\n                        </mml:math>\r\n                      </jats:alternatives>\r\n                    </jats:disp-formula>\r\n                    is considered in an open bounded real interval\r\n                    <jats:inline-formula>\r\n                      <jats:alternatives>\r\n                        <jats:tex-math>$$\\Omega $$</jats:tex-math>\r\n                        <mml:math xmlns:mml=\"http://www.w3.org/1998/Math/MathML\">\r\n                          <mml:mi>Ω</mml:mi>\r\n                        </mml:math>\r\n                      </jats:alternatives>\r\n                    </jats:inline-formula>\r\n                    . Under the assumption that\r\n                    <jats:inline-formula>\r\n                      <jats:alternatives>\r\n                        <jats:tex-math>$$\\gamma \\in C^0([0,\\infty ))$$</jats:tex-math>\r\n                        <mml:math xmlns:mml=\"http://www.w3.org/1998/Math/MathML\">\r\n                          <mml:mrow>\r\n                            <mml:mi>γ</mml:mi>\r\n                            <mml:mo>∈</mml:mo>\r\n                            <mml:msup>\r\n                              <mml:mi>C</mml:mi>\r\n                              <mml:mn>0</mml:mn>\r\n                            </mml:msup>\r\n                            <mml:mrow>\r\n                              <mml:mo>(</mml:mo>\r\n                              <mml:mrow>\r\n                                <mml:mo>[</mml:mo>\r\n                                <mml:mn>0</mml:mn>\r\n                                <mml:mo>,</mml:mo>\r\n                                <mml:mi>∞</mml:mi>\r\n                                <mml:mo>)</mml:mo>\r\n                              </mml:mrow>\r\n                              <mml:mo>)</mml:mo>\r\n                            </mml:mrow>\r\n                          </mml:mrow>\r\n                        </mml:math>\r\n                      </jats:alternatives>\r\n                    </jats:inline-formula>\r\n                    and\r\n                    <jats:inline-formula>\r\n                      <jats:alternatives>\r\n                        <jats:tex-math>$$f\\in C^0([0,\\infty ))$$</jats:tex-math>\r\n                        <mml:math xmlns:mml=\"http://www.w3.org/1998/Math/MathML\">\r\n                          <mml:mrow>\r\n                            <mml:mi>f</mml:mi>\r\n                            <mml:mo>∈</mml:mo>\r\n                            <mml:msup>\r\n                              <mml:mi>C</mml:mi>\r\n                              <mml:mn>0</mml:mn>\r\n                            </mml:msup>\r\n                            <mml:mrow>\r\n                              <mml:mo>(</mml:mo>\r\n                              <mml:mrow>\r\n                                <mml:mo>[</mml:mo>\r\n                                <mml:mn>0</mml:mn>\r\n                                <mml:mo>,</mml:mo>\r\n                                <mml:mi>∞</mml:mi>\r\n                                <mml:mo>)</mml:mo>\r\n                              </mml:mrow>\r\n                              <mml:mo>)</mml:mo>\r\n                            </mml:mrow>\r\n                          </mml:mrow>\r\n                        </mml:math>\r\n                      </jats:alternatives>\r\n                    </jats:inline-formula>\r\n                    are such that\r\n                    <jats:inline-formula>\r\n                      <jats:alternatives>\r\n                        <jats:tex-math>$$f(0)=0$$</jats:tex-math>\r\n                        <mml:math xmlns:mml=\"http://www.w3.org/1998/Math/MathML\">\r\n                          <mml:mrow>\r\n                            <mml:mi>f</mml:mi>\r\n                            <mml:mo>(</mml:mo>\r\n                            <mml:mn>0</mml:mn>\r\n                            <mml:mo>)</mml:mo>\r\n                            <mml:mo>=</mml:mo>\r\n                            <mml:mn>0</mml:mn>\r\n                          </mml:mrow>\r\n                        </mml:math>\r\n                      </jats:alternatives>\r\n                    </jats:inline-formula>\r\n                    , and\r\n                    <jats:inline-formula>\r\n                      <jats:alternatives>\r\n                        <jats:tex-math>$$k_\\gamma \\le \\gamma \\le K_\\gamma $$</jats:tex-math>\r\n                        <mml:math xmlns:mml=\"http://www.w3.org/1998/Math/MathML\">\r\n                          <mml:mrow>\r\n                            <mml:msub>\r\n                              <mml:mi>k</mml:mi>\r\n                              <mml:mi>γ</mml:mi>\r\n                            </mml:msub>\r\n                            <mml:mo>≤</mml:mo>\r\n                            <mml:mi>γ</mml:mi>\r\n                            <mml:mo>≤</mml:mo>\r\n                            <mml:msub>\r\n                              <mml:mi>K</mml:mi>\r\n                              <mml:mi>γ</mml:mi>\r\n                            </mml:msub>\r\n                          </mml:mrow>\r\n                        </mml:math>\r\n                      </jats:alternatives>\r\n                    </jats:inline-formula>\r\n                    as well as\r\n                    <jats:disp-formula>\r\n                      <jats:alternatives>\r\n                        <jats:tex-math>$$\\begin{aligned} |f(\\xi )| \\le K_f \\cdot (\\xi +1)^\\alpha \\qquad \\hbox {for all } \\xi \\ge 0 \\end{aligned}$$</jats:tex-math>\r\n                        <mml:math xmlns:mml=\"http://www.w3.org/1998/Math/MathML\">\r\n                          <mml:mrow>\r\n                            <mml:mtable>\r\n                              <mml:mtr>\r\n                                <mml:mtd>\r\n                                  <mml:mrow>\r\n                                    <mml:mrow>\r\n                                      <mml:mo>|</mml:mo>\r\n                                      <mml:mi>f</mml:mi>\r\n                                      <mml:mrow>\r\n                                        <mml:mo>(</mml:mo>\r\n                                        <mml:mi>ξ</mml:mi>\r\n                                        <mml:mo>)</mml:mo>\r\n                                      </mml:mrow>\r\n                                      <mml:mo>|</mml:mo>\r\n                                    </mml:mrow>\r\n                                    <mml:mo>≤</mml:mo>\r\n                                    <mml:msub>\r\n                                      <mml:mi>K</mml:mi>\r\n                                      <mml:mi>f</mml:mi>\r\n                                    </mml:msub>\r\n                                    <mml:mo>·</mml:mo>\r\n                                    <mml:msup>\r\n                                      <mml:mrow>\r\n                                        <mml:mo>(</mml:mo>\r\n                                        <mml:mi>ξ</mml:mi>\r\n                                        <mml:mo>+</mml:mo>\r\n                                        <mml:mn>1</mml:mn>\r\n                                        <mml:mo>)</mml:mo>\r\n                                      </mml:mrow>\r\n                                      <mml:mi>α</mml:mi>\r\n                                    </mml:msup>\r\n                                    <mml:mspace/>\r\n                                    <mml:mtext>for all</mml:mtext>\r\n                                    <mml:mspace/>\r\n                                    <mml:mi>ξ</mml:mi>\r\n                                    <mml:mo>≥</mml:mo>\r\n                                    <mml:mn>0</mml:mn>\r\n                                  </mml:mrow>\r\n                                </mml:mtd>\r\n                              </mml:mtr>\r\n                            </mml:mtable>\r\n                          </mml:mrow>\r\n                        </mml:math>\r\n                      </jats:alternatives>\r\n                    </jats:disp-formula>\r\n                    with some\r\n                    <jats:inline-formula>\r\n                      <jats:alternatives>\r\n                        <jats:tex-math>$$k_\\gamma&gt;0, K_\\gamma&gt;0, K_f&gt;0$$</jats:tex-math>\r\n                        <mml:math xmlns:mml=\"http://www.w3.org/1998/Math/MathML\">\r\n                          <mml:mrow>\r\n                            <mml:msub>\r\n                              <mml:mi>k</mml:mi>\r\n                              <mml:mi>γ</mml:mi>\r\n                            </mml:msub>\r\n                            <mml:mo>&gt;</mml:mo>\r\n                            <mml:mn>0</mml:mn>\r\n                            <mml:mo>,</mml:mo>\r\n                            <mml:msub>\r\n                              <mml:mi>K</mml:mi>\r\n                              <mml:mi>γ</mml:mi>\r\n                            </mml:msub>\r\n                            <mml:mo>&gt;</mml:mo>\r\n                            <mml:mn>0</mml:mn>\r\n                            <mml:mo>,</mml:mo>\r\n                            <mml:msub>\r\n                              <mml:mi>K</mml:mi>\r\n                              <mml:mi>f</mml:mi>\r\n                            </mml:msub>\r\n                            <mml:mo>&gt;</mml:mo>\r\n                            <mml:mn>0</mml:mn>\r\n                          </mml:mrow>\r\n                        </mml:math>\r\n                      </jats:alternatives>\r\n                    </jats:inline-formula>\r\n                    and\r\n                    <jats:inline-formula>\r\n                      <jats:alternatives>\r\n                        <jats:tex-math>$$\\alpha &lt;\\frac{3}{2}$$</jats:tex-math>\r\n                        <mml:math xmlns:mml=\"http://www.w3.org/1998/Math/MathML\">\r\n                          <mml:mrow>\r\n                            <mml:mi>α</mml:mi>\r\n                            <mml:mo>&lt;</mml:mo>\r\n                            <mml:mfrac>\r\n                              <mml:mn>3</mml:mn>\r\n                              <mml:mn>2</mml:mn>\r\n                            </mml:mfrac>\r\n                          </mml:mrow>\r\n                        </mml:math>\r\n                      </jats:alternatives>\r\n                    </jats:inline-formula>\r\n                    , for all suitably regular initial data of arbitrary size a statement on global existence of a global weak solution is derived. By particularly covering the thermodynamically consistent choice\r\n                    <jats:inline-formula>\r\n                      <jats:alternatives>\r\n                        <jats:tex-math>$$f\\equiv id$$</jats:tex-math>\r\n                        <mml:math xmlns:mml=\"http://www.w3.org/1998/Math/MathML\">\r\n                          <mml:mrow>\r\n                            <mml:mi>f</mml:mi>\r\n                            <mml:mo>≡</mml:mo>\r\n                            <mml:mi>i</mml:mi>\r\n                            <mml:mi>d</mml:mi>\r\n                          </mml:mrow>\r\n                        </mml:math>\r\n                      </jats:alternatives>\r\n                    </jats:inline-formula>\r\n                    of predominant physical relevance, this appears to go beyond previous related literature which seems to either rely on independence of\r\n                    <jats:inline-formula>\r\n                      <jats:alternatives>\r\n                        <jats:tex-math>$$\\gamma $$</jats:tex-math>\r\n                        <mml:math xmlns:mml=\"http://www.w3.org/1998/Math/MathML\">\r\n                          <mml:mi>γ</mml:mi>\r\n                        </mml:math>\r\n                      </jats:alternatives>\r\n                    </jats:inline-formula>\r\n                    on\r\n                    <jats:inline-formula>\r\n                      <jats:alternatives>\r\n                        <jats:tex-math>$$\\Theta $$</jats:tex-math>\r\n                        <mml:math xmlns:mml=\"http://www.w3.org/1998/Math/MathML\">\r\n                          <mml:mi>Θ</mml:mi>\r\n                        </mml:math>\r\n                      </jats:alternatives>\r\n                    </jats:inline-formula>\r\n                    , or to operate on finite time intervals.\r\n                  </jats:p>","lang":"eng"}],"status":"public"},{"user_id":"31496","project":[{"name":"FOR 5208: Modellbasierte Bestimmung nichtlinearer Eigenschaften von Piezokeramiken für Leistungsschallanwendungen (NEPTUN)","_id":"245"}],"_id":"63249","language":[{"iso":"eng"}],"article_number":"108","type":"journal_article","publication":"Journal of Evolution Equations","status":"public","abstract":[{"text":"<jats:title>Abstract</jats:title>\r\n                  <jats:p>\r\n                    The model\r\n                    <jats:disp-formula>\r\n                      <jats:alternatives>\r\n                        <jats:tex-math>$$\\begin{aligned} \\left\\{ \\begin{array}{l}u_{tt} = \\big (\\gamma (\\Theta ) u_{xt}\\big )_x + au_{xx} - \\big (f(\\Theta )\\big )_x, \\\\[1mm] \\Theta _t = \\Theta _{xx} + \\gamma (\\Theta ) u_{xt}^2 - f(\\Theta ) u_{xt}, \\end{array} \\right. \\end{aligned}$$</jats:tex-math>\r\n                        <mml:math xmlns:mml=\"http://www.w3.org/1998/Math/MathML\">\r\n                          <mml:mrow>\r\n                            <mml:mtable>\r\n                              <mml:mtr>\r\n                                <mml:mtd>\r\n                                  <mml:mfenced>\r\n                                    <mml:mrow>\r\n                                      <mml:mtable>\r\n                                        <mml:mtr>\r\n                                          <mml:mtd>\r\n                                            <mml:mrow>\r\n                                              <mml:msub>\r\n                                                <mml:mi>u</mml:mi>\r\n                                                <mml:mrow>\r\n                                                  <mml:mi>tt</mml:mi>\r\n                                                </mml:mrow>\r\n                                              </mml:msub>\r\n                                              <mml:mo>=</mml:mo>\r\n                                              <mml:mrow>\r\n                                                <mml:mo>(</mml:mo>\r\n                                              </mml:mrow>\r\n                                              <mml:mi>γ</mml:mi>\r\n                                              <mml:mrow>\r\n                                                <mml:mo>(</mml:mo>\r\n                                                <mml:mi>Θ</mml:mi>\r\n                                                <mml:mo>)</mml:mo>\r\n                                              </mml:mrow>\r\n                                              <mml:msub>\r\n                                                <mml:mi>u</mml:mi>\r\n                                                <mml:mrow>\r\n                                                  <mml:mi>xt</mml:mi>\r\n                                                </mml:mrow>\r\n                                              </mml:msub>\r\n                                              <mml:msub>\r\n                                                <mml:mrow>\r\n                                                  <mml:mo>)</mml:mo>\r\n                                                </mml:mrow>\r\n                                                <mml:mi>x</mml:mi>\r\n                                              </mml:msub>\r\n                                              <mml:mo>+</mml:mo>\r\n                                              <mml:mi>a</mml:mi>\r\n                                              <mml:msub>\r\n                                                <mml:mi>u</mml:mi>\r\n                                                <mml:mrow>\r\n                                                  <mml:mi>xx</mml:mi>\r\n                                                </mml:mrow>\r\n                                              </mml:msub>\r\n                                              <mml:mo>-</mml:mo>\r\n                                              <mml:mrow>\r\n                                                <mml:mo>(</mml:mo>\r\n                                              </mml:mrow>\r\n                                              <mml:mi>f</mml:mi>\r\n                                              <mml:mrow>\r\n                                                <mml:mo>(</mml:mo>\r\n                                                <mml:mi>Θ</mml:mi>\r\n                                                <mml:mo>)</mml:mo>\r\n                                              </mml:mrow>\r\n                                              <mml:msub>\r\n                                                <mml:mrow>\r\n                                                  <mml:mo>)</mml:mo>\r\n                                                </mml:mrow>\r\n                                                <mml:mi>x</mml:mi>\r\n                                              </mml:msub>\r\n                                              <mml:mo>,</mml:mo>\r\n                                            </mml:mrow>\r\n                                          </mml:mtd>\r\n                                        </mml:mtr>\r\n                                        <mml:mtr>\r\n                                          <mml:mtd>\r\n                                            <mml:mrow>\r\n                                              <mml:mrow/>\r\n                                              <mml:mrow>\r\n                                                <mml:mo>[</mml:mo>\r\n                                                <mml:mn>1</mml:mn>\r\n                                                <mml:mi>m</mml:mi>\r\n                                                <mml:mi>m</mml:mi>\r\n                                                <mml:mo>]</mml:mo>\r\n                                              </mml:mrow>\r\n                                              <mml:msub>\r\n                                                <mml:mi>Θ</mml:mi>\r\n                                                <mml:mi>t</mml:mi>\r\n                                              </mml:msub>\r\n                                              <mml:mo>=</mml:mo>\r\n                                              <mml:msub>\r\n                                                <mml:mi>Θ</mml:mi>\r\n                                                <mml:mrow>\r\n                                                  <mml:mi>xx</mml:mi>\r\n                                                </mml:mrow>\r\n                                              </mml:msub>\r\n                                              <mml:mo>+</mml:mo>\r\n                                              <mml:mi>γ</mml:mi>\r\n                                              <mml:mrow>\r\n                                                <mml:mo>(</mml:mo>\r\n                                                <mml:mi>Θ</mml:mi>\r\n                                                <mml:mo>)</mml:mo>\r\n                                              </mml:mrow>\r\n                                              <mml:msubsup>\r\n                                                <mml:mi>u</mml:mi>\r\n                                                <mml:mrow>\r\n                                                  <mml:mi>xt</mml:mi>\r\n                                                </mml:mrow>\r\n                                                <mml:mn>2</mml:mn>\r\n                                              </mml:msubsup>\r\n                                              <mml:mo>-</mml:mo>\r\n                                              <mml:mi>f</mml:mi>\r\n                                              <mml:mrow>\r\n                                                <mml:mo>(</mml:mo>\r\n                                                <mml:mi>Θ</mml:mi>\r\n                                                <mml:mo>)</mml:mo>\r\n                                              </mml:mrow>\r\n                                              <mml:msub>\r\n                                                <mml:mi>u</mml:mi>\r\n                                                <mml:mrow>\r\n                                                  <mml:mi>xt</mml:mi>\r\n                                                </mml:mrow>\r\n                                              </mml:msub>\r\n                                              <mml:mo>,</mml:mo>\r\n                                            </mml:mrow>\r\n                                          </mml:mtd>\r\n                                        </mml:mtr>\r\n                                      </mml:mtable>\r\n                                    </mml:mrow>\r\n                                  </mml:mfenced>\r\n                                </mml:mtd>\r\n                              </mml:mtr>\r\n                            </mml:mtable>\r\n                          </mml:mrow>\r\n                        </mml:math>\r\n                      </jats:alternatives>\r\n                    </jats:disp-formula>\r\n                    for thermoviscoelastic evolution in one-dimensional Kelvin–Voigt materials is considered. By means of an approach based on maximal Sobolev regularity theory of scalar parabolic equations, it is shown that if\r\n                    <jats:inline-formula>\r\n                      <jats:alternatives>\r\n                        <jats:tex-math>$$\\gamma _0&gt;0$$</jats:tex-math>\r\n                        <mml:math xmlns:mml=\"http://www.w3.org/1998/Math/MathML\">\r\n                          <mml:mrow>\r\n                            <mml:msub>\r\n                              <mml:mi>γ</mml:mi>\r\n                              <mml:mn>0</mml:mn>\r\n                            </mml:msub>\r\n                            <mml:mo>&gt;</mml:mo>\r\n                            <mml:mn>0</mml:mn>\r\n                          </mml:mrow>\r\n                        </mml:math>\r\n                      </jats:alternatives>\r\n                    </jats:inline-formula>\r\n                    is fixed, then there exists\r\n                    <jats:inline-formula>\r\n                      <jats:alternatives>\r\n                        <jats:tex-math>$$\\delta =\\delta (\\gamma _0)&gt;0$$</jats:tex-math>\r\n                        <mml:math xmlns:mml=\"http://www.w3.org/1998/Math/MathML\">\r\n                          <mml:mrow>\r\n                            <mml:mi>δ</mml:mi>\r\n                            <mml:mo>=</mml:mo>\r\n                            <mml:mi>δ</mml:mi>\r\n                            <mml:mo>(</mml:mo>\r\n                            <mml:msub>\r\n                              <mml:mi>γ</mml:mi>\r\n                              <mml:mn>0</mml:mn>\r\n                            </mml:msub>\r\n                            <mml:mo>)</mml:mo>\r\n                            <mml:mo>&gt;</mml:mo>\r\n                            <mml:mn>0</mml:mn>\r\n                          </mml:mrow>\r\n                        </mml:math>\r\n                      </jats:alternatives>\r\n                    </jats:inline-formula>\r\n                    with the property that for suitably regular initial data of arbitrary size an associated initial boundary value problem posed in an open bounded interval admits a global classical solution whenever\r\n                    <jats:inline-formula>\r\n                      <jats:alternatives>\r\n                        <jats:tex-math>$$\\gamma \\in C^2([0,\\infty ))$$</jats:tex-math>\r\n                        <mml:math xmlns:mml=\"http://www.w3.org/1998/Math/MathML\">\r\n                          <mml:mrow>\r\n                            <mml:mi>γ</mml:mi>\r\n                            <mml:mo>∈</mml:mo>\r\n                            <mml:msup>\r\n                              <mml:mi>C</mml:mi>\r\n                              <mml:mn>2</mml:mn>\r\n                            </mml:msup>\r\n                            <mml:mrow>\r\n                              <mml:mo>(</mml:mo>\r\n                              <mml:mrow>\r\n                                <mml:mo>[</mml:mo>\r\n                                <mml:mn>0</mml:mn>\r\n                                <mml:mo>,</mml:mo>\r\n                                <mml:mi>∞</mml:mi>\r\n                                <mml:mo>)</mml:mo>\r\n                              </mml:mrow>\r\n                              <mml:mo>)</mml:mo>\r\n                            </mml:mrow>\r\n                          </mml:mrow>\r\n                        </mml:math>\r\n                      </jats:alternatives>\r\n                    </jats:inline-formula>\r\n                    and\r\n                    <jats:inline-formula>\r\n                      <jats:alternatives>\r\n                        <jats:tex-math>$$f\\in C^2([0,\\infty ))$$</jats:tex-math>\r\n                        <mml:math xmlns:mml=\"http://www.w3.org/1998/Math/MathML\">\r\n                          <mml:mrow>\r\n                            <mml:mi>f</mml:mi>\r\n                            <mml:mo>∈</mml:mo>\r\n                            <mml:msup>\r\n                              <mml:mi>C</mml:mi>\r\n                              <mml:mn>2</mml:mn>\r\n                            </mml:msup>\r\n                            <mml:mrow>\r\n                              <mml:mo>(</mml:mo>\r\n                              <mml:mrow>\r\n                                <mml:mo>[</mml:mo>\r\n                                <mml:mn>0</mml:mn>\r\n                                <mml:mo>,</mml:mo>\r\n                                <mml:mi>∞</mml:mi>\r\n                                <mml:mo>)</mml:mo>\r\n                              </mml:mrow>\r\n                              <mml:mo>)</mml:mo>\r\n                            </mml:mrow>\r\n                          </mml:mrow>\r\n                        </mml:math>\r\n                      </jats:alternatives>\r\n                    </jats:inline-formula>\r\n                    are such that\r\n                    <jats:inline-formula>\r\n                      <jats:alternatives>\r\n                        <jats:tex-math>$$f(0)=0$$</jats:tex-math>\r\n                        <mml:math xmlns:mml=\"http://www.w3.org/1998/Math/MathML\">\r\n                          <mml:mrow>\r\n                            <mml:mi>f</mml:mi>\r\n                            <mml:mo>(</mml:mo>\r\n                            <mml:mn>0</mml:mn>\r\n                            <mml:mo>)</mml:mo>\r\n                            <mml:mo>=</mml:mo>\r\n                            <mml:mn>0</mml:mn>\r\n                          </mml:mrow>\r\n                        </mml:math>\r\n                      </jats:alternatives>\r\n                    </jats:inline-formula>\r\n                    and\r\n                    <jats:inline-formula>\r\n                      <jats:alternatives>\r\n                        <jats:tex-math>$$|f(\\xi )| \\le K_f \\cdot (\\xi +1)^\\alpha $$</jats:tex-math>\r\n                        <mml:math xmlns:mml=\"http://www.w3.org/1998/Math/MathML\">\r\n                          <mml:mrow>\r\n                            <mml:mrow>\r\n                              <mml:mo>|</mml:mo>\r\n                              <mml:mi>f</mml:mi>\r\n                              <mml:mrow>\r\n                                <mml:mo>(</mml:mo>\r\n                                <mml:mi>ξ</mml:mi>\r\n                                <mml:mo>)</mml:mo>\r\n                              </mml:mrow>\r\n                              <mml:mo>|</mml:mo>\r\n                            </mml:mrow>\r\n                            <mml:mo>≤</mml:mo>\r\n                            <mml:msub>\r\n                              <mml:mi>K</mml:mi>\r\n                              <mml:mi>f</mml:mi>\r\n                            </mml:msub>\r\n                            <mml:mo>·</mml:mo>\r\n                            <mml:msup>\r\n                              <mml:mrow>\r\n                                <mml:mo>(</mml:mo>\r\n                                <mml:mi>ξ</mml:mi>\r\n                                <mml:mo>+</mml:mo>\r\n                                <mml:mn>1</mml:mn>\r\n                                <mml:mo>)</mml:mo>\r\n                              </mml:mrow>\r\n                              <mml:mi>α</mml:mi>\r\n                            </mml:msup>\r\n                          </mml:mrow>\r\n                        </mml:math>\r\n                      </jats:alternatives>\r\n                    </jats:inline-formula>\r\n                    for all\r\n                    <jats:inline-formula>\r\n                      <jats:alternatives>\r\n                        <jats:tex-math>$$\\xi \\ge 0$$</jats:tex-math>\r\n                        <mml:math xmlns:mml=\"http://www.w3.org/1998/Math/MathML\">\r\n                          <mml:mrow>\r\n                            <mml:mi>ξ</mml:mi>\r\n                            <mml:mo>≥</mml:mo>\r\n                            <mml:mn>0</mml:mn>\r\n                          </mml:mrow>\r\n                        </mml:math>\r\n                      </jats:alternatives>\r\n                    </jats:inline-formula>\r\n                    and some\r\n                    <jats:inline-formula>\r\n                      <jats:alternatives>\r\n                        <jats:tex-math>$$K_f&gt;0$$</jats:tex-math>\r\n                        <mml:math xmlns:mml=\"http://www.w3.org/1998/Math/MathML\">\r\n                          <mml:mrow>\r\n                            <mml:msub>\r\n                              <mml:mi>K</mml:mi>\r\n                              <mml:mi>f</mml:mi>\r\n                            </mml:msub>\r\n                            <mml:mo>&gt;</mml:mo>\r\n                            <mml:mn>0</mml:mn>\r\n                          </mml:mrow>\r\n                        </mml:math>\r\n                      </jats:alternatives>\r\n                    </jats:inline-formula>\r\n                    and\r\n                    <jats:inline-formula>\r\n                      <jats:alternatives>\r\n                        <jats:tex-math>$$\\alpha &lt;\\frac{3}{2}$$</jats:tex-math>\r\n                        <mml:math xmlns:mml=\"http://www.w3.org/1998/Math/MathML\">\r\n                          <mml:mrow>\r\n                            <mml:mi>α</mml:mi>\r\n                            <mml:mo>&lt;</mml:mo>\r\n                            <mml:mfrac>\r\n                              <mml:mn>3</mml:mn>\r\n                              <mml:mn>2</mml:mn>\r\n                            </mml:mfrac>\r\n                          </mml:mrow>\r\n                        </mml:math>\r\n                      </jats:alternatives>\r\n                    </jats:inline-formula>\r\n                    , and that\r\n                    <jats:disp-formula>\r\n                      <jats:alternatives>\r\n                        <jats:tex-math>$$\\begin{aligned} \\gamma _0 \\le \\gamma (\\xi ) \\le \\gamma _0 + \\delta \\qquad \\hbox {for all } \\xi \\ge 0. \\end{aligned}$$</jats:tex-math>\r\n                        <mml:math xmlns:mml=\"http://www.w3.org/1998/Math/MathML\">\r\n                          <mml:mrow>\r\n                            <mml:mtable>\r\n                              <mml:mtr>\r\n                                <mml:mtd>\r\n                                  <mml:mrow>\r\n                                    <mml:msub>\r\n                                      <mml:mi>γ</mml:mi>\r\n                                      <mml:mn>0</mml:mn>\r\n                                    </mml:msub>\r\n                                    <mml:mo>≤</mml:mo>\r\n                                    <mml:mi>γ</mml:mi>\r\n                                    <mml:mrow>\r\n                                      <mml:mo>(</mml:mo>\r\n                                      <mml:mi>ξ</mml:mi>\r\n                                      <mml:mo>)</mml:mo>\r\n                                    </mml:mrow>\r\n                                    <mml:mo>≤</mml:mo>\r\n                                    <mml:msub>\r\n                                      <mml:mi>γ</mml:mi>\r\n                                      <mml:mn>0</mml:mn>\r\n                                    </mml:msub>\r\n                                    <mml:mo>+</mml:mo>\r\n                                    <mml:mi>δ</mml:mi>\r\n                                    <mml:mspace/>\r\n                                    <mml:mtext>for all</mml:mtext>\r\n                                    <mml:mspace/>\r\n                                    <mml:mi>ξ</mml:mi>\r\n                                    <mml:mo>≥</mml:mo>\r\n                                    <mml:mn>0</mml:mn>\r\n                                    <mml:mo>.</mml:mo>\r\n                                  </mml:mrow>\r\n                                </mml:mtd>\r\n                              </mml:mtr>\r\n                            </mml:mtable>\r\n                          </mml:mrow>\r\n                        </mml:math>\r\n                      </jats:alternatives>\r\n                    </jats:disp-formula>\r\n                    This is supplemented by a statement on global existence of certain strong solutions, particularly continuous in both components, under weaker conditions on the initial data.\r\n                  </jats:p>","lang":"eng"}],"author":[{"full_name":"Winkler, Michael","id":"31496","last_name":"Winkler","first_name":"Michael"}],"date_created":"2025-12-18T19:02:51Z","volume":25,"publisher":"Springer Science and Business Media LLC","date_updated":"2026-04-23T12:19:51Z","doi":"10.1007/s00028-025-01144-z","title":"Large-data regular solutions in a one-dimensional thermoviscoelastic evolution problem involving temperature-dependent viscosities","issue":"4","publication_status":"published","publication_identifier":{"issn":["1424-3199","1424-3202"]},"citation":{"ieee":"M. Winkler, “Large-data regular solutions in a one-dimensional thermoviscoelastic evolution problem involving temperature-dependent viscosities,” <i>Journal of Evolution Equations</i>, vol. 25, no. 4, Art. no. 108, 2025, doi: <a href=\"https://doi.org/10.1007/s00028-025-01144-z\">10.1007/s00028-025-01144-z</a>.","chicago":"Winkler, Michael. “Large-Data Regular Solutions in a One-Dimensional Thermoviscoelastic Evolution Problem Involving Temperature-Dependent Viscosities.” <i>Journal of Evolution Equations</i> 25, no. 4 (2025). <a href=\"https://doi.org/10.1007/s00028-025-01144-z\">https://doi.org/10.1007/s00028-025-01144-z</a>.","ama":"Winkler M. Large-data regular solutions in a one-dimensional thermoviscoelastic evolution problem involving temperature-dependent viscosities. <i>Journal of Evolution Equations</i>. 2025;25(4). doi:<a href=\"https://doi.org/10.1007/s00028-025-01144-z\">10.1007/s00028-025-01144-z</a>","apa":"Winkler, M. (2025). Large-data regular solutions in a one-dimensional thermoviscoelastic evolution problem involving temperature-dependent viscosities. <i>Journal of Evolution Equations</i>, <i>25</i>(4), Article 108. <a href=\"https://doi.org/10.1007/s00028-025-01144-z\">https://doi.org/10.1007/s00028-025-01144-z</a>","bibtex":"@article{Winkler_2025, title={Large-data regular solutions in a one-dimensional thermoviscoelastic evolution problem involving temperature-dependent viscosities}, volume={25}, DOI={<a href=\"https://doi.org/10.1007/s00028-025-01144-z\">10.1007/s00028-025-01144-z</a>}, number={4108}, journal={Journal of Evolution Equations}, publisher={Springer Science and Business Media LLC}, author={Winkler, Michael}, year={2025} }","short":"M. Winkler, Journal of Evolution Equations 25 (2025).","mla":"Winkler, Michael. “Large-Data Regular Solutions in a One-Dimensional Thermoviscoelastic Evolution Problem Involving Temperature-Dependent Viscosities.” <i>Journal of Evolution Equations</i>, vol. 25, no. 4, 108, Springer Science and Business Media LLC, 2025, doi:<a href=\"https://doi.org/10.1007/s00028-025-01144-z\">10.1007/s00028-025-01144-z</a>."},"intvolume":"        25","year":"2025"},{"title":"Rough solutions in one-dimensional nonlinear thermoelasticity","doi":"10.1007/s00526-025-03170-8","publisher":"Springer Science and Business Media LLC","date_updated":"2026-04-23T12:18:59Z","date_created":"2025-12-18T19:01:02Z","author":[{"id":"31496","full_name":"Winkler, Michael","last_name":"Winkler","first_name":"Michael"}],"volume":65,"year":"2025","citation":{"chicago":"Winkler, Michael. “Rough Solutions in One-Dimensional Nonlinear Thermoelasticity.” <i>Calculus of Variations and Partial Differential Equations</i> 65, no. 1 (2025). <a href=\"https://doi.org/10.1007/s00526-025-03170-8\">https://doi.org/10.1007/s00526-025-03170-8</a>.","ieee":"M. Winkler, “Rough solutions in one-dimensional nonlinear thermoelasticity,” <i>Calculus of Variations and Partial Differential Equations</i>, vol. 65, no. 1, Art. no. 1, 2025, doi: <a href=\"https://doi.org/10.1007/s00526-025-03170-8\">10.1007/s00526-025-03170-8</a>.","ama":"Winkler M. Rough solutions in one-dimensional nonlinear thermoelasticity. <i>Calculus of Variations and Partial Differential Equations</i>. 2025;65(1). doi:<a href=\"https://doi.org/10.1007/s00526-025-03170-8\">10.1007/s00526-025-03170-8</a>","apa":"Winkler, M. (2025). Rough solutions in one-dimensional nonlinear thermoelasticity. <i>Calculus of Variations and Partial Differential Equations</i>, <i>65</i>(1), Article 1. <a href=\"https://doi.org/10.1007/s00526-025-03170-8\">https://doi.org/10.1007/s00526-025-03170-8</a>","bibtex":"@article{Winkler_2025, title={Rough solutions in one-dimensional nonlinear thermoelasticity}, volume={65}, DOI={<a href=\"https://doi.org/10.1007/s00526-025-03170-8\">10.1007/s00526-025-03170-8</a>}, number={11}, journal={Calculus of Variations and Partial Differential Equations}, publisher={Springer Science and Business Media LLC}, author={Winkler, Michael}, year={2025} }","mla":"Winkler, Michael. “Rough Solutions in One-Dimensional Nonlinear Thermoelasticity.” <i>Calculus of Variations and Partial Differential Equations</i>, vol. 65, no. 1, 1, Springer Science and Business Media LLC, 2025, doi:<a href=\"https://doi.org/10.1007/s00526-025-03170-8\">10.1007/s00526-025-03170-8</a>.","short":"M. Winkler, Calculus of Variations and Partial Differential Equations 65 (2025)."},"intvolume":"        65","publication_status":"published","publication_identifier":{"issn":["0944-2669","1432-0835"]},"issue":"1","article_number":"1","language":[{"iso":"eng"}],"project":[{"name":"FOR 5208: Modellbasierte Bestimmung nichtlinearer Eigenschaften von Piezokeramiken für Leistungsschallanwendungen (NEPTUN)","_id":"245"}],"_id":"63246","user_id":"31496","abstract":[{"lang":"eng","text":"<jats:title>Abstract</jats:title>\r\n                  <jats:p>\r\n                    The hyperbolic-parabolic model\r\n                    <jats:disp-formula>\r\n                      <jats:alternatives>\r\n                        <jats:tex-math>$$\\begin{aligned} \\left\\{ \\begin{array}{ll} u_{tt} = u_{xx} - \\big (f(\\Theta )\\big )_x, \\qquad &amp;  x\\in \\Omega , \\ t&gt;0, \\\\ \\Theta _t = \\Theta _{xx} - f(\\Theta ) u_{xt}, \\qquad &amp;  x\\in \\Omega , \\ t&gt;0, \\end{array} \\right. \\end{aligned}$$</jats:tex-math>\r\n                        <mml:math xmlns:mml=\"http://www.w3.org/1998/Math/MathML\">\r\n                          <mml:mrow>\r\n                            <mml:mtable>\r\n                              <mml:mtr>\r\n                                <mml:mtd>\r\n                                  <mml:mfenced>\r\n                                    <mml:mrow>\r\n                                      <mml:mtable>\r\n                                        <mml:mtr>\r\n                                          <mml:mtd>\r\n                                            <mml:mrow>\r\n                                              <mml:msub>\r\n                                                <mml:mi>u</mml:mi>\r\n                                                <mml:mrow>\r\n                                                  <mml:mi>tt</mml:mi>\r\n                                                </mml:mrow>\r\n                                              </mml:msub>\r\n                                              <mml:mo>=</mml:mo>\r\n                                              <mml:msub>\r\n                                                <mml:mi>u</mml:mi>\r\n                                                <mml:mrow>\r\n                                                  <mml:mi>xx</mml:mi>\r\n                                                </mml:mrow>\r\n                                              </mml:msub>\r\n                                              <mml:mo>-</mml:mo>\r\n                                              <mml:mrow>\r\n                                                <mml:mo>(</mml:mo>\r\n                                              </mml:mrow>\r\n                                              <mml:mi>f</mml:mi>\r\n                                              <mml:mrow>\r\n                                                <mml:mo>(</mml:mo>\r\n                                                <mml:mi>Θ</mml:mi>\r\n                                                <mml:mo>)</mml:mo>\r\n                                              </mml:mrow>\r\n                                              <mml:msub>\r\n                                                <mml:mrow>\r\n                                                  <mml:mo>)</mml:mo>\r\n                                                </mml:mrow>\r\n                                                <mml:mi>x</mml:mi>\r\n                                              </mml:msub>\r\n                                              <mml:mo>,</mml:mo>\r\n                                              <mml:mspace/>\r\n                                            </mml:mrow>\r\n                                          </mml:mtd>\r\n                                          <mml:mtd>\r\n                                            <mml:mrow>\r\n                                              <mml:mi>x</mml:mi>\r\n                                              <mml:mo>∈</mml:mo>\r\n                                              <mml:mi>Ω</mml:mi>\r\n                                              <mml:mo>,</mml:mo>\r\n                                              <mml:mspace/>\r\n                                              <mml:mi>t</mml:mi>\r\n                                              <mml:mo>&gt;</mml:mo>\r\n                                              <mml:mn>0</mml:mn>\r\n                                              <mml:mo>,</mml:mo>\r\n                                            </mml:mrow>\r\n                                          </mml:mtd>\r\n                                        </mml:mtr>\r\n                                        <mml:mtr>\r\n                                          <mml:mtd>\r\n                                            <mml:mrow>\r\n                                              <mml:mrow/>\r\n                                              <mml:msub>\r\n                                                <mml:mi>Θ</mml:mi>\r\n                                                <mml:mi>t</mml:mi>\r\n                                              </mml:msub>\r\n                                              <mml:mo>=</mml:mo>\r\n                                              <mml:msub>\r\n                                                <mml:mi>Θ</mml:mi>\r\n                                                <mml:mrow>\r\n                                                  <mml:mi>xx</mml:mi>\r\n                                                </mml:mrow>\r\n                                              </mml:msub>\r\n                                              <mml:mo>-</mml:mo>\r\n                                              <mml:mi>f</mml:mi>\r\n                                              <mml:mrow>\r\n                                                <mml:mo>(</mml:mo>\r\n                                                <mml:mi>Θ</mml:mi>\r\n                                                <mml:mo>)</mml:mo>\r\n                                              </mml:mrow>\r\n                                              <mml:msub>\r\n                                                <mml:mi>u</mml:mi>\r\n                                                <mml:mrow>\r\n                                                  <mml:mi>xt</mml:mi>\r\n                                                </mml:mrow>\r\n                                              </mml:msub>\r\n                                              <mml:mo>,</mml:mo>\r\n                                              <mml:mspace/>\r\n                                            </mml:mrow>\r\n                                          </mml:mtd>\r\n                                          <mml:mtd>\r\n                                            <mml:mrow>\r\n                                              <mml:mi>x</mml:mi>\r\n                                              <mml:mo>∈</mml:mo>\r\n                                              <mml:mi>Ω</mml:mi>\r\n                                              <mml:mo>,</mml:mo>\r\n                                              <mml:mspace/>\r\n                                              <mml:mi>t</mml:mi>\r\n                                              <mml:mo>&gt;</mml:mo>\r\n                                              <mml:mn>0</mml:mn>\r\n                                              <mml:mo>,</mml:mo>\r\n                                            </mml:mrow>\r\n                                          </mml:mtd>\r\n                                        </mml:mtr>\r\n                                      </mml:mtable>\r\n                                    </mml:mrow>\r\n                                  </mml:mfenced>\r\n                                </mml:mtd>\r\n                              </mml:mtr>\r\n                            </mml:mtable>\r\n                          </mml:mrow>\r\n                        </mml:math>\r\n                      </jats:alternatives>\r\n                    </jats:disp-formula>\r\n                    for the evolution of the displacement variable\r\n                    <jats:italic>u</jats:italic>\r\n                    and the temperature\r\n                    <jats:inline-formula>\r\n                      <jats:alternatives>\r\n                        <jats:tex-math>$$\\Theta \\ge 0$$</jats:tex-math>\r\n                        <mml:math xmlns:mml=\"http://www.w3.org/1998/Math/MathML\">\r\n                          <mml:mrow>\r\n                            <mml:mi>Θ</mml:mi>\r\n                            <mml:mo>≥</mml:mo>\r\n                            <mml:mn>0</mml:mn>\r\n                          </mml:mrow>\r\n                        </mml:math>\r\n                      </jats:alternatives>\r\n                    </jats:inline-formula>\r\n                    during thermoelastic interaction in a one-dimensional bounded interval\r\n                    <jats:inline-formula>\r\n                      <jats:alternatives>\r\n                        <jats:tex-math>$$\\Omega $$</jats:tex-math>\r\n                        <mml:math xmlns:mml=\"http://www.w3.org/1998/Math/MathML\">\r\n                          <mml:mi>Ω</mml:mi>\r\n                        </mml:math>\r\n                      </jats:alternatives>\r\n                    </jats:inline-formula>\r\n                    is considered. Whereas the literature has provided comprehensive results on global solutions for sufficiently regular initial data\r\n                    <jats:inline-formula>\r\n                      <jats:alternatives>\r\n                        <jats:tex-math>$$(u_0,u_{0t},\\Theta _0)=(u,u_t,\\Theta )|_{t=0}$$</jats:tex-math>\r\n                        <mml:math xmlns:mml=\"http://www.w3.org/1998/Math/MathML\">\r\n                          <mml:mrow>\r\n                            <mml:mrow>\r\n                              <mml:mo>(</mml:mo>\r\n                              <mml:msub>\r\n                                <mml:mi>u</mml:mi>\r\n                                <mml:mn>0</mml:mn>\r\n                              </mml:msub>\r\n                              <mml:mo>,</mml:mo>\r\n                              <mml:msub>\r\n                                <mml:mi>u</mml:mi>\r\n                                <mml:mrow>\r\n                                  <mml:mn>0</mml:mn>\r\n                                  <mml:mi>t</mml:mi>\r\n                                </mml:mrow>\r\n                              </mml:msub>\r\n                              <mml:mo>,</mml:mo>\r\n                              <mml:msub>\r\n                                <mml:mi>Θ</mml:mi>\r\n                                <mml:mn>0</mml:mn>\r\n                              </mml:msub>\r\n                              <mml:mo>)</mml:mo>\r\n                            </mml:mrow>\r\n                            <mml:mo>=</mml:mo>\r\n                            <mml:mrow>\r\n                              <mml:mo>(</mml:mo>\r\n                              <mml:mi>u</mml:mi>\r\n                              <mml:mo>,</mml:mo>\r\n                              <mml:msub>\r\n                                <mml:mi>u</mml:mi>\r\n                                <mml:mi>t</mml:mi>\r\n                              </mml:msub>\r\n                              <mml:mo>,</mml:mo>\r\n                              <mml:mi>Θ</mml:mi>\r\n                              <mml:mo>)</mml:mo>\r\n                            </mml:mrow>\r\n                            <mml:msub>\r\n                              <mml:mrow>\r\n                                <mml:mo>|</mml:mo>\r\n                              </mml:mrow>\r\n                              <mml:mrow>\r\n                                <mml:mi>t</mml:mi>\r\n                                <mml:mo>=</mml:mo>\r\n                                <mml:mn>0</mml:mn>\r\n                              </mml:mrow>\r\n                            </mml:msub>\r\n                          </mml:mrow>\r\n                        </mml:math>\r\n                      </jats:alternatives>\r\n                    </jats:inline-formula>\r\n                    when\r\n                    <jats:inline-formula>\r\n                      <jats:alternatives>\r\n                        <jats:tex-math>$$f\\equiv id$$</jats:tex-math>\r\n                        <mml:math xmlns:mml=\"http://www.w3.org/1998/Math/MathML\">\r\n                          <mml:mrow>\r\n                            <mml:mi>f</mml:mi>\r\n                            <mml:mo>≡</mml:mo>\r\n                            <mml:mi>i</mml:mi>\r\n                            <mml:mi>d</mml:mi>\r\n                          </mml:mrow>\r\n                        </mml:math>\r\n                      </jats:alternatives>\r\n                    </jats:inline-formula>\r\n                    , it seems to have remained open so far how far a solution theory can be built solely on the two fundamental physical principles of energy conservation and entropy nondecrease. The present manuscript addresses this by asserting global existence of weak solutions under assumptions which are energy- and entropy-minimal in the sense of allowing for any initial data\r\n                    <jats:inline-formula>\r\n                      <jats:alternatives>\r\n                        <jats:tex-math>$$u_0\\in W_0^{1,2}(\\Omega )$$</jats:tex-math>\r\n                        <mml:math xmlns:mml=\"http://www.w3.org/1998/Math/MathML\">\r\n                          <mml:mrow>\r\n                            <mml:msub>\r\n                              <mml:mi>u</mml:mi>\r\n                              <mml:mn>0</mml:mn>\r\n                            </mml:msub>\r\n                            <mml:mo>∈</mml:mo>\r\n                            <mml:msubsup>\r\n                              <mml:mi>W</mml:mi>\r\n                              <mml:mn>0</mml:mn>\r\n                              <mml:mrow>\r\n                                <mml:mn>1</mml:mn>\r\n                                <mml:mo>,</mml:mo>\r\n                                <mml:mn>2</mml:mn>\r\n                              </mml:mrow>\r\n                            </mml:msubsup>\r\n                            <mml:mrow>\r\n                              <mml:mo>(</mml:mo>\r\n                              <mml:mi>Ω</mml:mi>\r\n                              <mml:mo>)</mml:mo>\r\n                            </mml:mrow>\r\n                          </mml:mrow>\r\n                        </mml:math>\r\n                      </jats:alternatives>\r\n                    </jats:inline-formula>\r\n                    ,\r\n                    <jats:inline-formula>\r\n                      <jats:alternatives>\r\n                        <jats:tex-math>$$u_{0t} \\in L^2(\\Omega )$$</jats:tex-math>\r\n                        <mml:math xmlns:mml=\"http://www.w3.org/1998/Math/MathML\">\r\n                          <mml:mrow>\r\n                            <mml:msub>\r\n                              <mml:mi>u</mml:mi>\r\n                              <mml:mrow>\r\n                                <mml:mn>0</mml:mn>\r\n                                <mml:mi>t</mml:mi>\r\n                              </mml:mrow>\r\n                            </mml:msub>\r\n                            <mml:mo>∈</mml:mo>\r\n                            <mml:msup>\r\n                              <mml:mi>L</mml:mi>\r\n                              <mml:mn>2</mml:mn>\r\n                            </mml:msup>\r\n                            <mml:mrow>\r\n                              <mml:mo>(</mml:mo>\r\n                              <mml:mi>Ω</mml:mi>\r\n                              <mml:mo>)</mml:mo>\r\n                            </mml:mrow>\r\n                          </mml:mrow>\r\n                        </mml:math>\r\n                      </jats:alternatives>\r\n                    </jats:inline-formula>\r\n                    and\r\n                    <jats:inline-formula>\r\n                      <jats:alternatives>\r\n                        <jats:tex-math>$$0\\le \\Theta _0\\in L^1(\\Omega )$$</jats:tex-math>\r\n                        <mml:math xmlns:mml=\"http://www.w3.org/1998/Math/MathML\">\r\n                          <mml:mrow>\r\n                            <mml:mn>0</mml:mn>\r\n                            <mml:mo>≤</mml:mo>\r\n                            <mml:msub>\r\n                              <mml:mi>Θ</mml:mi>\r\n                              <mml:mn>0</mml:mn>\r\n                            </mml:msub>\r\n                            <mml:mo>∈</mml:mo>\r\n                            <mml:msup>\r\n                              <mml:mi>L</mml:mi>\r\n                              <mml:mn>1</mml:mn>\r\n                            </mml:msup>\r\n                            <mml:mrow>\r\n                              <mml:mo>(</mml:mo>\r\n                              <mml:mi>Ω</mml:mi>\r\n                              <mml:mo>)</mml:mo>\r\n                            </mml:mrow>\r\n                          </mml:mrow>\r\n                        </mml:math>\r\n                      </jats:alternatives>\r\n                    </jats:inline-formula>\r\n                    , and which apply to arbitrary\r\n                    <jats:inline-formula>\r\n                      <jats:alternatives>\r\n                        <jats:tex-math>$$f\\in C^1([0,\\infty ))$$</jats:tex-math>\r\n                        <mml:math xmlns:mml=\"http://www.w3.org/1998/Math/MathML\">\r\n                          <mml:mrow>\r\n                            <mml:mi>f</mml:mi>\r\n                            <mml:mo>∈</mml:mo>\r\n                            <mml:msup>\r\n                              <mml:mi>C</mml:mi>\r\n                              <mml:mn>1</mml:mn>\r\n                            </mml:msup>\r\n                            <mml:mrow>\r\n                              <mml:mo>(</mml:mo>\r\n                              <mml:mrow>\r\n                                <mml:mo>[</mml:mo>\r\n                                <mml:mn>0</mml:mn>\r\n                                <mml:mo>,</mml:mo>\r\n                                <mml:mi>∞</mml:mi>\r\n                                <mml:mo>)</mml:mo>\r\n                              </mml:mrow>\r\n                              <mml:mo>)</mml:mo>\r\n                            </mml:mrow>\r\n                          </mml:mrow>\r\n                        </mml:math>\r\n                      </jats:alternatives>\r\n                    </jats:inline-formula>\r\n                    with\r\n                    <jats:inline-formula>\r\n                      <jats:alternatives>\r\n                        <jats:tex-math>$$f(0)=0$$</jats:tex-math>\r\n                        <mml:math xmlns:mml=\"http://www.w3.org/1998/Math/MathML\">\r\n                          <mml:mrow>\r\n                            <mml:mi>f</mml:mi>\r\n                            <mml:mo>(</mml:mo>\r\n                            <mml:mn>0</mml:mn>\r\n                            <mml:mo>)</mml:mo>\r\n                            <mml:mo>=</mml:mo>\r\n                            <mml:mn>0</mml:mn>\r\n                          </mml:mrow>\r\n                        </mml:math>\r\n                      </jats:alternatives>\r\n                    </jats:inline-formula>\r\n                    and\r\n                    <jats:inline-formula>\r\n                      <jats:alternatives>\r\n                        <jats:tex-math>$$f'&gt;0$$</jats:tex-math>\r\n                        <mml:math xmlns:mml=\"http://www.w3.org/1998/Math/MathML\">\r\n                          <mml:mrow>\r\n                            <mml:msup>\r\n                              <mml:mi>f</mml:mi>\r\n                              <mml:mo>′</mml:mo>\r\n                            </mml:msup>\r\n                            <mml:mo>&gt;</mml:mo>\r\n                            <mml:mn>0</mml:mn>\r\n                          </mml:mrow>\r\n                        </mml:math>\r\n                      </jats:alternatives>\r\n                    </jats:inline-formula>\r\n                    on\r\n                    <jats:inline-formula>\r\n                      <jats:alternatives>\r\n                        <jats:tex-math>$$[0,\\infty )$$</jats:tex-math>\r\n                        <mml:math xmlns:mml=\"http://www.w3.org/1998/Math/MathML\">\r\n                          <mml:mrow>\r\n                            <mml:mo>[</mml:mo>\r\n                            <mml:mn>0</mml:mn>\r\n                            <mml:mo>,</mml:mo>\r\n                            <mml:mi>∞</mml:mi>\r\n                            <mml:mo>)</mml:mo>\r\n                          </mml:mrow>\r\n                        </mml:math>\r\n                      </jats:alternatives>\r\n                    </jats:inline-formula>\r\n                    .\r\n                  </jats:p>"}],"status":"public","type":"journal_article","publication":"Calculus of Variations and Partial Differential Equations"},{"date_updated":"2026-04-27T12:12:35Z","publisher":"LibreCat University","date_created":"2025-12-01T10:22:40Z","author":[{"last_name":"Protte","full_name":"Protte, Marius","first_name":"Marius"}],"title":"Behavioral effects in human-machine and human-human interactions","doi":"10.17619/UNIPB/1-2448","publication_status":"published","year":"2025","citation":{"ama":"Protte M. <i>Behavioral Effects in Human-Machine and Human-Human Interactions</i>. LibreCat University; 2025. doi:<a href=\"https://doi.org/10.17619/UNIPB/1-2448\">10.17619/UNIPB/1-2448</a>","chicago":"Protte, Marius. <i>Behavioral Effects in Human-Machine and Human-Human Interactions</i>. LibreCat University, 2025. <a href=\"https://doi.org/10.17619/UNIPB/1-2448\">https://doi.org/10.17619/UNIPB/1-2448</a>.","ieee":"M. Protte, <i>Behavioral effects in human-machine and human-human interactions</i>. LibreCat University, 2025.","bibtex":"@book{Protte_2025, title={Behavioral effects in human-machine and human-human interactions}, DOI={<a href=\"https://doi.org/10.17619/UNIPB/1-2448\">10.17619/UNIPB/1-2448</a>}, publisher={LibreCat University}, author={Protte, Marius}, year={2025} }","short":"M. Protte, Behavioral Effects in Human-Machine and Human-Human Interactions, LibreCat University, 2025.","mla":"Protte, Marius. <i>Behavioral Effects in Human-Machine and Human-Human Interactions</i>. LibreCat University, 2025, doi:<a href=\"https://doi.org/10.17619/UNIPB/1-2448\">10.17619/UNIPB/1-2448</a>.","apa":"Protte, M. (2025). <i>Behavioral effects in human-machine and human-human interactions</i>. LibreCat University. <a href=\"https://doi.org/10.17619/UNIPB/1-2448\">https://doi.org/10.17619/UNIPB/1-2448</a>"},"_id":"62717","user_id":"44549","language":[{"iso":"eng"}],"type":"dissertation","abstract":[{"lang":"eng","text":"Diese Dissertation untersucht, wie Menschen Entscheidungen in Interaktionen sowohl mit anderen Personen als auch mit zunehmend verbreiteten algorithmischen Systemen treffen. Unter Einbezug von Erkenntnissen aus der Verhaltensökonomie und der Mensch-Maschine-Interaktion wird analysiert, wie kognitive Limitationen, soziale Präferenzen und Wahrnehmungsverzerrungen das Verhalten in Kontexten von Unehrlichkeit, Empfehlungsumsetzung, Feedbackverarbeitung und Selbsteinschätzung prägen. Vier kontrollierte ökonomische Experimente zeigen, dass algorithmische Intransparenz unehrliches Verhalten verstärken kann, die Einbindung von Nutzern in das Training von KI-Systemen zwar deren Wahrnehmung verbessert, jedoch nicht die tatsächliche Befolgung algorithmischer Ratschläge fördert, dass Echtzeit-Feedback in Human-in-the-Loop-Systemen unbeabsichtigt Verhaltensverzerrungen verstärken kann und dass gängige Messungen von Selbstüberschätzung stark von methodischen Designentscheidungen abhängen. Die Dissertation unterstreicht die Notwendigkeit, realistische Annahmen über menschliches Verhalten bei der Gestaltung von Prüfungsprozessen, Empfehlungssystemen und interaktiven Technologien zu berücksichtigen und leistet damit einen Beitrag zu einem besseren Verständnis menschlicher Entscheidungsprozesse in einer zunehmend automatisierten Welt."},{"lang":"eng","text":"This dissertation investigates how humans make decisions in interactions with both other people and increasingly prevalent algorithmic systems. Integrating insights from behavioral economics and human-machine interaction, it examines how cognitive limitations, social preferences, and perceptual biases shape behavior in contexts involving dishonesty, advice-taking, feedback, and self-assessment. Across four controlled economic experiments, the studies show that algorithmic opacity can increase dishonest behavior, user involvement in AI training improves perceptions but not actual adherence to algorithmic advice, real-time feedback in human-in-the-loop systems can unintentionally amplify behavioral biases, and common measures of overconfidence are sensitive to methodological design. The dissertation underscores the need to incorporate realistic behavioral assumptions when designing verification processes, advisory algorithms, and interactive technologies, contributing to a deeper understanding of human decision-making in an increasingly automated world."}],"status":"public"},{"title":"Molecular-scale synchrotron X-ray investigations of solid-liquid interfaces in lithium-ion batteries","doi":"10.1016/b978-0-323-85669-0.00105-7","publisher":"Elsevier","date_updated":"2023-10-03T09:10:39Z","author":[{"first_name":"Chuntian","full_name":"Cao, Chuntian","last_name":"Cao"},{"last_name":"Steinrück","orcid":"0000-0001-6373-0877","id":"84268","full_name":"Steinrück, Hans-Georg","first_name":"Hans-Georg"}],"date_created":"2023-07-01T15:48:53Z","year":"2024","page":"391-416","citation":{"ama":"Cao C, Steinrück H-G. Molecular-scale synchrotron X-ray investigations of solid-liquid interfaces in lithium-ion batteries. In: <i>Reference Module in Chemistry, Molecular Sciences and Chemical Engineering</i>. Elsevier; 2024:391-416. doi:<a href=\"https://doi.org/10.1016/b978-0-323-85669-0.00105-7\">10.1016/b978-0-323-85669-0.00105-7</a>","ieee":"C. Cao and H.-G. Steinrück, “Molecular-scale synchrotron X-ray investigations of solid-liquid interfaces in lithium-ion batteries,” in <i>Reference Module in Chemistry, Molecular Sciences and Chemical Engineering</i>, Elsevier, 2024, pp. 391–416.","chicago":"Cao, Chuntian, and Hans-Georg Steinrück. “Molecular-Scale Synchrotron X-Ray Investigations of Solid-Liquid Interfaces in Lithium-Ion Batteries.” In <i>Reference Module in Chemistry, Molecular Sciences and Chemical Engineering</i>, 391–416. Elsevier, 2024. <a href=\"https://doi.org/10.1016/b978-0-323-85669-0.00105-7\">https://doi.org/10.1016/b978-0-323-85669-0.00105-7</a>.","bibtex":"@inbook{Cao_Steinrück_2024, title={Molecular-scale synchrotron X-ray investigations of solid-liquid interfaces in lithium-ion batteries}, DOI={<a href=\"https://doi.org/10.1016/b978-0-323-85669-0.00105-7\">10.1016/b978-0-323-85669-0.00105-7</a>}, booktitle={Reference Module in Chemistry, Molecular Sciences and Chemical Engineering}, publisher={Elsevier}, author={Cao, Chuntian and Steinrück, Hans-Georg}, year={2024}, pages={391–416} }","short":"C. Cao, H.-G. Steinrück, in: Reference Module in Chemistry, Molecular Sciences and Chemical Engineering, Elsevier, 2024, pp. 391–416.","mla":"Cao, Chuntian, and Hans-Georg Steinrück. “Molecular-Scale Synchrotron X-Ray Investigations of Solid-Liquid Interfaces in Lithium-Ion Batteries.” <i>Reference Module in Chemistry, Molecular Sciences and Chemical Engineering</i>, Elsevier, 2024, pp. 391–416, doi:<a href=\"https://doi.org/10.1016/b978-0-323-85669-0.00105-7\">10.1016/b978-0-323-85669-0.00105-7</a>.","apa":"Cao, C., &#38; Steinrück, H.-G. (2024). Molecular-scale synchrotron X-ray investigations of solid-liquid interfaces in lithium-ion batteries. In <i>Reference Module in Chemistry, Molecular Sciences and Chemical Engineering</i> (pp. 391–416). Elsevier. <a href=\"https://doi.org/10.1016/b978-0-323-85669-0.00105-7\">https://doi.org/10.1016/b978-0-323-85669-0.00105-7</a>"},"publication_identifier":{"isbn":["9780124095472"]},"publication_status":"published","language":[{"iso":"eng"}],"_id":"45827","department":[{"_id":"633"}],"user_id":"84268","status":"public","publication":"Reference Module in Chemistry, Molecular Sciences and Chemical Engineering","type":"book_chapter"},{"publication_status":"submitted","citation":{"ama":"Foerster A. The Swineherd’s Wife who Scolded the King. In: Butler E, Dumitrescu I, eds. <i>Women in Early Medieval England</i>. The New Middle Ages. Springer Textbook.","chicago":"Foerster, Anne. “The Swineherd’s Wife Who Scolded the King.” In <i>Women in Early Medieval England</i>, edited by Emily Butler and Irina Dumitrescu. The New Middle Ages. Springer Textbook, n.d.","ieee":"A. Foerster, “The Swineherd’s Wife who Scolded the King,” in <i>Women in Early Medieval England</i>, E. Butler and I. Dumitrescu, Eds. Springer Textbook.","apa":"Foerster, A. (n.d.). The Swineherd’s Wife who Scolded the King. In E. Butler &#38; I. Dumitrescu (Eds.), <i>Women in Early Medieval England</i>. Springer Textbook.","mla":"Foerster, Anne. “The Swineherd’s Wife Who Scolded the King.” <i>Women in Early Medieval England</i>, edited by Emily Butler and Irina Dumitrescu, Springer Textbook.","short":"A. Foerster, in: E. Butler, I. Dumitrescu (Eds.), Women in Early Medieval England, Springer Textbook, n.d.","bibtex":"@inbook{Foerster, series={The New Middle Ages}, title={The Swineherd’s Wife who Scolded the King}, booktitle={Women in Early Medieval England}, publisher={Springer Textbook}, author={Foerster, Anne}, editor={Butler, Emily and Dumitrescu, Irina}, collection={The New Middle Ages} }"},"year":"2024","author":[{"first_name":"Anne","last_name":"Foerster","full_name":"Foerster, Anne","id":"67185"}],"date_created":"2023-10-20T11:01:26Z","publisher":"Springer Textbook","date_updated":"2023-10-20T11:03:21Z","title":"The Swineherd’s Wife who Scolded the King","type":"encyclopedia_article","publication":"Women in Early Medieval England","status":"public","editor":[{"last_name":"Butler","full_name":"Butler, Emily","first_name":"Emily"},{"last_name":"Dumitrescu","full_name":"Dumitrescu, Irina","first_name":"Irina"}],"series_title":"The New Middle Ages","user_id":"67185","department":[{"_id":"6"}],"_id":"48363","language":[{"iso":"eng"}]},{"_id":"48362","department":[{"_id":"6"}],"series_title":"The New Middle Ages","user_id":"67185","language":[{"iso":"eng"}],"publication":"Women in Early Medieval England","type":"encyclopedia_article","editor":[{"first_name":"Emily","last_name":"Butler","full_name":"Butler, Emily"},{"full_name":"Dumitrescu, Irina","last_name":"Dumitrescu","first_name":"Irina"}],"status":"public","publisher":"Springer Textbook","date_updated":"2023-10-20T11:00:14Z","author":[{"first_name":"Anne","id":"67185","full_name":"Foerster, Anne","last_name":"Foerster"}],"date_created":"2023-10-20T11:00:01Z","title":"Eadburh of Wessex","publication_status":"submitted","year":"2024","citation":{"mla":"Foerster, Anne. “Eadburh of Wessex.” <i>Women in Early Medieval England</i>, edited by Emily Butler and Irina Dumitrescu, Springer Textbook.","short":"A. Foerster, in: E. Butler, I. Dumitrescu (Eds.), Women in Early Medieval England, Springer Textbook, n.d.","bibtex":"@inbook{Foerster, series={The New Middle Ages}, title={Eadburh of Wessex}, booktitle={Women in Early Medieval England}, publisher={Springer Textbook}, author={Foerster, Anne}, editor={Butler, Emily and Dumitrescu, Irina}, collection={The New Middle Ages} }","apa":"Foerster, A. (n.d.). Eadburh of Wessex. In E. Butler &#38; I. Dumitrescu (Eds.), <i>Women in Early Medieval England</i>. Springer Textbook.","ama":"Foerster A. Eadburh of Wessex. In: Butler E, Dumitrescu I, eds. <i>Women in Early Medieval England</i>. The New Middle Ages. Springer Textbook.","ieee":"A. Foerster, “Eadburh of Wessex,” in <i>Women in Early Medieval England</i>, E. Butler and I. Dumitrescu, Eds. Springer Textbook.","chicago":"Foerster, Anne. “Eadburh of Wessex.” In <i>Women in Early Medieval England</i>, edited by Emily Butler and Irina Dumitrescu. The New Middle Ages. Springer Textbook, n.d."}},{"title":"Seaxburh","publisher":"Springer Textbook","date_updated":"2023-10-20T11:03:20Z","author":[{"id":"67185","full_name":"Foerster, Anne","last_name":"Foerster","first_name":"Anne"}],"date_created":"2023-10-20T11:03:16Z","year":"2024","citation":{"short":"A. Foerster, in: E. Butler, I. Dumitrescu (Eds.), Women in Early Medieval England, Springer Textbook, n.d.","mla":"Foerster, Anne. “Seaxburh.” <i>Women in Early Medieval England</i>, edited by Emily Butler and Irina Dumitrescu, Springer Textbook.","bibtex":"@inbook{Foerster, series={The New Middle Ages}, title={Seaxburh}, booktitle={Women in Early Medieval England}, publisher={Springer Textbook}, author={Foerster, Anne}, editor={Butler, Emily and Dumitrescu, Irina}, collection={The New Middle Ages} }","apa":"Foerster, A. (n.d.). Seaxburh. In E. Butler &#38; I. Dumitrescu (Eds.), <i>Women in Early Medieval England</i>. Springer Textbook.","chicago":"Foerster, Anne. “Seaxburh.” In <i>Women in Early Medieval England</i>, edited by Emily Butler and Irina Dumitrescu. The New Middle Ages. Springer Textbook, n.d.","ieee":"A. Foerster, “Seaxburh,” in <i>Women in Early Medieval England</i>, E. Butler and I. Dumitrescu, Eds. Springer Textbook.","ama":"Foerster A. Seaxburh. In: Butler E, Dumitrescu I, eds. <i>Women in Early Medieval England</i>. The New Middle Ages. Springer Textbook."},"publication_status":"submitted","language":[{"iso":"eng"}],"_id":"48364","user_id":"67185","series_title":"The New Middle Ages","department":[{"_id":"6"}],"editor":[{"first_name":"Emily","full_name":"Butler, Emily","last_name":"Butler"},{"first_name":"Irina","full_name":"Dumitrescu, Irina","last_name":"Dumitrescu"}],"status":"public","type":"encyclopedia_article","publication":"Women in Early Medieval England"},{"status":"public","abstract":[{"text":"Digital Servitization is one of the significant trends affecting the manufacturing industry. Companies try to tackle challenges regarding their differentiation and profitability using digital services. One specific type of digital services are smart services, which are digital services built on data from smart products. Introducing these kinds of offerings into the portfolio of manufacturing companies is not trivial. Moreover, they require conscious action to align all relevant capabilities to realize the respective business goals. However, what capabilities are generally relevant for smart services remains opaque. We conducted a systematic literature review to identify them and extended the results through an interview study. Our analysis results in 78 capabilities clustered among 12 principles and six dimensions. These results provide significant support for the smart service transformation of manufacturing companies and for structuring the research field of smart services.","lang":"eng"}],"type":"conference","language":[{"iso":"eng"}],"keyword":["Digital Servitization","Transformation","Capabilities","Maturity","Smart Services"],"user_id":"66731","department":[{"_id":"563"},{"_id":"241"}],"_id":"48632","citation":{"ieee":"C. Koldewey <i>et al.</i>, “Exploring Capabilities for the Smart Service Transformation in Manufacturing: Insights from Theory and Practice,” presented at the Hawaii International Conference on System Sciences, Hawaii, 2024.","chicago":"Koldewey, Christian, Timm Fichtler, Michel Scholtysik, Jan Biehler, Nick Schreiner, Franziska Sommer, Maximilian Schacht, et al. “Exploring Capabilities for the Smart Service Transformation in Manufacturing: Insights from Theory and Practice,” 2024.","ama":"Koldewey C, Fichtler T, Scholtysik M, et al. Exploring Capabilities for the Smart Service Transformation in Manufacturing: Insights from Theory and Practice. In: ; 2024.","short":"C. Koldewey, T. Fichtler, M. Scholtysik, J. Biehler, N. Schreiner, F. Sommer, M. Schacht, J. Kaufmann, M. Rabe, J. Sedlmeier, R. Dumitrescu, in: 2024.","mla":"Koldewey, Christian, et al. <i>Exploring Capabilities for the Smart Service Transformation in Manufacturing: Insights from Theory and Practice</i>. 2024.","bibtex":"@inproceedings{Koldewey_Fichtler_Scholtysik_Biehler_Schreiner_Sommer_Schacht_Kaufmann_Rabe_Sedlmeier_et al._2024, title={Exploring Capabilities for the Smart Service Transformation in Manufacturing: Insights from Theory and Practice}, author={Koldewey, Christian and Fichtler, Timm and Scholtysik, Michel and Biehler, Jan and Schreiner, Nick and Sommer, Franziska and Schacht, Maximilian and Kaufmann, Jonas and Rabe, Martin and Sedlmeier, Joachim and et al.}, year={2024} }","apa":"Koldewey, C., Fichtler, T., Scholtysik, M., Biehler, J., Schreiner, N., Sommer, F., Schacht, M., Kaufmann, J., Rabe, M., Sedlmeier, J., &#38; Dumitrescu, R. (2024). <i>Exploring Capabilities for the Smart Service Transformation in Manufacturing: Insights from Theory and Practice</i>. Hawaii International Conference on System Sciences, Hawaii."},"year":"2024","conference":{"location":"Hawaii","end_date":"2024-01-06","start_date":"2024-01-03","name":"Hawaii International Conference on System Sciences"},"title":"Exploring Capabilities for the Smart Service Transformation in Manufacturing: Insights from Theory and Practice","author":[{"first_name":"Christian","orcid":"https://orcid.org/0000-0001-7992-6399","last_name":"Koldewey","full_name":"Koldewey, Christian","id":"43136"},{"first_name":"Timm","id":"66731","full_name":"Fichtler, Timm","orcid":"https://orcid.org/0000-0001-6034-4399","last_name":"Fichtler"},{"first_name":"Michel","full_name":"Scholtysik, Michel","id":"50562","last_name":"Scholtysik"},{"first_name":"Jan","full_name":"Biehler, Jan","last_name":"Biehler"},{"full_name":"Schreiner, Nick","last_name":"Schreiner","first_name":"Nick"},{"full_name":"Sommer, Franziska","last_name":"Sommer","first_name":"Franziska"},{"full_name":"Schacht, Maximilian","last_name":"Schacht","first_name":"Maximilian"},{"first_name":"Jonas","full_name":"Kaufmann, Jonas","last_name":"Kaufmann"},{"full_name":"Rabe, Martin","last_name":"Rabe","first_name":"Martin"},{"full_name":"Sedlmeier, Joachim","last_name":"Sedlmeier","first_name":"Joachim"},{"first_name":"Roman","last_name":"Dumitrescu","id":"16190","full_name":"Dumitrescu, Roman"}],"date_created":"2023-11-06T15:31:32Z","date_updated":"2023-11-06T15:40:33Z"},{"department":[{"_id":"563"}],"user_id":"15782","_id":"49354","language":[{"iso":"eng"}],"publication":"ML4CPS 2023","type":"conference","status":"public","author":[{"first_name":"Lameya","full_name":"Afroze, Lameya","last_name":"Afroze"},{"full_name":"Merkelbach, Silke","last_name":"Merkelbach","first_name":"Silke"},{"first_name":"Sebastian","last_name":"von Enzberg","full_name":"von Enzberg, Sebastian"},{"last_name":"Dumitrescu","full_name":"Dumitrescu, Roman","id":"16190","first_name":"Roman"}],"date_created":"2023-11-30T09:59:41Z","date_updated":"2023-11-30T14:09:47Z","conference":{"name":"ML4CPS – Machine Learning For Cyber-Physical Systems","start_date":"2023-03-29","end_date":"2023-0331","location":"Hamburg"},"title":"Domain Knowledge Injection Guidance for Predictive Maintenance","citation":{"apa":"Afroze, L., Merkelbach, S., von Enzberg, S., &#38; Dumitrescu, R. (2024). Domain Knowledge Injection Guidance for Predictive Maintenance. <i>ML4CPS 2023</i>. ML4CPS – Machine Learning For Cyber-Physical Systems, Hamburg.","short":"L. Afroze, S. Merkelbach, S. von Enzberg, R. Dumitrescu, in: ML4CPS 2023, 2024.","mla":"Afroze, Lameya, et al. “Domain Knowledge Injection Guidance for Predictive Maintenance.” <i>ML4CPS 2023</i>, 2024.","bibtex":"@inproceedings{Afroze_Merkelbach_von Enzberg_Dumitrescu_2024, title={Domain Knowledge Injection Guidance for Predictive Maintenance}, booktitle={ML4CPS 2023}, author={Afroze, Lameya and Merkelbach, Silke and von Enzberg, Sebastian and Dumitrescu, Roman}, year={2024} }","chicago":"Afroze, Lameya, Silke Merkelbach, Sebastian von Enzberg, and Roman Dumitrescu. “Domain Knowledge Injection Guidance for Predictive Maintenance.” In <i>ML4CPS 2023</i>, 2024.","ieee":"L. Afroze, S. Merkelbach, S. von Enzberg, and R. 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