@inbook{62203,
  abstract     = {{<jats:title>Abstract</jats:title>
							<jats:p>This study investigates parents’ perspectives on
								the preferred onset of English education in Germany and potential
								explanatory factors drawing on a cross-sectional survey of 2,645
								parents from the EUBE project
										(<jats:italic>
                            <jats:underline>E</jats:underline>nglisch<jats:underline>u</jats:underline>nterrichts<jats:underline>b</jats:underline>eginn
									aus <jats:underline>E</jats:underline>lternsicht</jats:italic> / Parental
								perspectives on the onset of English Language Education). Results
								reveal that a significant majority of parents advocate for an early
								start in year 1 or 2 of primary school, generally aligning with
								their strong conviction of the importance of English, high
								educational aspirations and expectations, and their own (early)
								start of language education. The findings contribute to a deeper
								understanding of parental perspectives that have also shown to be
								related to multiple indicators of educational success in general and
								achievements in language learning in particular.</jats:p>}},
  author       = {{Rumlich, Dominik and Porsch, Raphaela}},
  booktitle    = {{Early language education in instructed contexts}},
  editor       = {{Frisch, Stefanie and Glaser, Karen}},
  isbn         = {{9789027223449}},
  pages        = {{286--305}},
  publisher    = {{John Benjamins Publishing Company}},
  title        = {{{Starting early or late? Parental perspectives on the onset of English language education at primary school in Germany}}},
  doi          = {{10.1075/lllt.62.13rum}},
  year         = {{2025}},
}

@article{62201,
  abstract     = {{<jats:title>ABSTRACT</jats:title><jats:p>The use of digital tools for second and foreign language lexical learning is increasingly popular and research in this area is constantly expanding. However, little has been written about specific criteria that could be used to identify tools with high‐quality lexical input, as available checklists and frameworks for digital media tend to neglect detailed analyses of the vocabulary domain. This article addresses this issue by presenting the Checklist for Evaluating Digital Resources for Lexical Learning (DigiLex), which combines important digital language learning criteria with an extensive evaluation of lexical content. The checklist is both theory‐based and user‐friendly, aiming to fill a gap between theory and practice in the field of digital lexical learning. The article discusses the theoretical basis of the checklist and integrates the results of a small pilot study with pre‐service and in‐service teachers, emphasizing feasibility in everyday learning and teaching. By providing an easy‐to‐use tool for identifying suitable digital resources, the DigiLex checklist aims to support language learners and teachers in self‐regulated lexical learning.</jats:p>}},
  author       = {{Lehmkuhl, Paulina and Wagner, Benedikt and Frisch, Stefanie and Rumlich, Dominik and Visser, Judith}},
  issn         = {{1056-7941}},
  journal      = {{TESOL Journal}},
  number       = {{1}},
  publisher    = {{Wiley}},
  title        = {{{DigiLex — A Checklist for the Evaluation of Digital Tools for Second and Foreign Language Lexical Learning}}},
  doi          = {{10.1002/tesj.70016}},
  volume       = {{16}},
  year         = {{2025}},
}

@techreport{62200,
  author       = {{Becker-Mrotzek, Michael and Efing, Christian and Gerick, Julia and Greefrath, Gilbert and Hammann, Marcus and Hannover, Bettina and Heckhausen, Jutta and Jost, Jörg and Keller, Stefan and Leiß, Dominik and Leutner, Detlev and Lewalter, Doris and Lindmeier, Anke and Matschke, Christina and Neumann, Knut and Parchmann, Ilka and Rossa, Henning and Rumlich, Dominik and Senkbeil, Martin and Schumann, Stephan and Vahrenhold, Jan and Glutsch, Nina and Guill, Karin and Schulte, Judith and Suckut, Julia and Tiedtke, Per and Adomat, DomJenniferinik}},
  publisher    = {{Ständige Wissenschaftliche Kommission der Kultusministerkonferenz (SWK)}},
  title        = {{{Kompetenzen für den erfolgreichen Übergang von der Sekundarstufe I in die berufliche Ausbildung sichern. Gutachten der Ständigen Wissenschaftlichen Kommission der Kultusministerkonferenz}}},
  doi          = {{10.25656/01:32815}},
  year         = {{2025}},
}

@article{62195,
  author       = {{Vivone, Antonio and Rumlich, Dominik and Lehmann-Wermser, Andreas}},
  issn         = {{2373-5082}},
  journal      = {{Learning: Research and Practice}},
  number       = {{1}},
  pages        = {{74--91}},
  publisher    = {{Informa UK Limited}},
  title        = {{{Maximizing linguistic and cognitive potential: the role of vocal training with pop songs in teaching English as a foreign language}}},
  doi          = {{10.1080/23735082.2025.2501043}},
  volume       = {{11}},
  year         = {{2025}},
}

@inbook{63015,
  author       = {{Rumlich, Dominik}},
  booktitle    = {{The Cambridge Handbook of multilingual education}},
  editor       = {{Romanowski, Piotr}},
  pages        = {{190--207}},
  publisher    = {{Cambridge University Press}},
  title        = {{{CLIL-related benefits for general EFL proficiency}}},
  year         = {{2025}},
}

@misc{61469,
  booktitle    = {{Zeitschrift für deutsche Philologie (Sonderheft)}},
  editor       = {{Heise, Tillmann and Öhlschläger, Claudia}},
  issn         = {{978-3-503-24263-4}},
  publisher    = {{Erich Schmidt Verlag}},
  title        = {{{Rückkehr des Ressentiments? Stereotype in Medien, Kulturphilosophie und Literatur (Sonderheft der Zeitschrift für deutsche Philologie)}}},
  doi          = {{https://doi.org/10.37307/b.978-3-503-24264-1}},
  volume       = {{144}},
  year         = {{2025}},
}

@article{61480,
  author       = {{Heise, Tillmann and Öhlschläger, Claudia}},
  journal      = {{Rückkehr des Ressentiments? Stereotype in Medien, Kulturphilosophie und Literatur (Sonderheft der Zeitschrift für deutsche Philologie, 144. Band)}},
  pages        = {{1--12}},
  publisher    = {{Erich Schmidt Verlag}},
  title        = {{{Rückkehr des Ressentiments? Stereotype in Medien, Kulturphilosophie und Literatur. Einleitung}}},
  doi          = {{https://doi.org/10.37307/b.978-3-503-24264-1}},
  volume       = {{144}},
  year         = {{2025}},
}

@article{61470,
  author       = {{Heise, Tillmann}},
  issn         = {{0044-2496}},
  journal      = {{Zeitschrift für deutsche Philologie }},
  number       = {{Sonderheft}},
  pages        = {{125–143}},
  title        = {{{"Thomas liebt an Kulturen gerade das Hybride." De/Konstruierte Stereotype in Thomas Meineckes "Lookalikes" (2011)}}},
  doi          = {{https://doi.org/10.37307/b.978-3-503-24264-1}},
  volume       = {{144}},
  year         = {{2025}},
}

@article{63072,
  abstract     = {{<jats:p>Titanium alloys are widely employed for biomedical implants due to their high strength, biocompatibility, and corrosion resistance, yet their lack of intrinsic antibacterial activity remains a major limitation. Incorporating copper, an antibacterial and β-stabilising element, offers a promising strategy to enhance implant performance. This study investigates Ti-6Al-7Nb modified with 1–9 wt.% Cu via in situ alloying during metal-based laser powder bed fusion (PBF-LB/M), with the aim of assessing processability, microstructural evolution, and mechanical properties. Highly dense samples (&gt;99.9%) were produced across all Cu levels, though chemical homogeneity strongly depended on processing parameters. Increasing Cu content promoted β-phase stabilisation, Ti2Cu precipitation, and pronounced grain refinement. Hardness and yield strength increased nearly linearly with Cu addition, while ductility decreased sharply at ≥5 wt.% Cu due to intermetallic formation, hot cracking, and brittle fracture. These results illustrate both the opportunities and constraints of rapid alloy screening via PBF-LB/M. Overall, moderate Cu additions of 1–3 wt.% provide the most favourable balance between mechanical performance, manufacturability, and potential antibacterial functionality. These findings provide a clear guideline for the design of Cu-functionalised titanium implants and demonstrate the efficiency of in situ alloy screening for accelerated materials development.</jats:p>}},
  author       = {{Steinmeier, Paul and Hoyer, Kay-Peter and Lopes Dias, Nelson Filipe and Zielke, Reiner and Tillmann, Wolfgang and Schaper, Mirko}},
  issn         = {{2073-4352}},
  journal      = {{Crystals}},
  keywords     = {{Biomaterial, In Situ Alloying, Titanium, Additive Manufacturing}},
  number       = {{12}},
  publisher    = {{MDPI AG}},
  title        = {{{In Situ Alloying of Ti-6Al-7Nb with Copper Using Laser Powder Bed Fusion}}},
  doi          = {{10.3390/cryst15121053}},
  volume       = {{15}},
  year         = {{2025}},
}

@inproceedings{61427,
  abstract     = {{The carbon footprint of modern vehicles and their mechatronic systems is more
important than ever. Research by the publicly funded Nalyses project and the HELLA
company shows that the headlamps use phase makes a significant contribution to the life
cycle footprint taking into account the current electricity mix [1]. Today, functionalities
such as adaptive curve light or glare-free high beam ensure comfort and safety by
assessing the state of the vehicle and evaluating the driving scenario ahead. In future,
this evaluation will be expanded and used to adapt the headlamp to the driving scenario
in such a way that as little light as possible is emitted, but as much light as necessary. In
order to achieve this goal, an overall evaluation of the regulatory compliant energy
saving potential is crucial in a first step and leads to constraints for a dynamic adaption
while driving. In this paper, the potential is illustrated by evaluating UNECE Regulation
No. 149 and optimizing luminous intensity distributions. Depending on the different
resolutions of matrix LED headlamps, this approach can result in a significantly lower
luminous flux. On the other hand, the results are point-like distributions that raise the
question of whether the regulation still provides for sensible minimum requirements for
modern matrix LED headlamps. The results are further presented in a simulated virtual
environment with regard to the resulting luminance in different driving scenarios. We
then present an approach to integrate regulatory requirements into a control algorithm by
setting optimization constraints and saturating the control. Finally, we classify the found
luminous intensity distributions qualitatively according to common lighting criteria. In summary, although the investigated minimum distributions are by no means desirable
for drivers themselves, they form the basis on which energy-saving distributions for
illuminated areas and twilight scenarios could be adaptively controlled in the future.}},
  author       = {{Fittkau, Niklas and Bußemas, Leon and Malena, Kevin and Gausemeier, Sandra and Trächtler, Ansgar}},
  booktitle    = {{Proceedings of the 16th International Symposium on Automotive Lighting 2025}},
  location     = {{Darmstadt}},
  title        = {{{Regulatory-compliant energy-saving potential for the passing beam of matrix LED headlamps}}},
  doi          = {{10.26083/tuprints-00030840}},
  year         = {{2025}},
}

@techreport{61278,
  abstract     = {{This report outlines foundations of digital democracy and digital democracy research. It is
structured into eight chapters:
Chapter 1: Introduction
Chapter 2: What is Digital Democracy?
Chapter 3: Online Participation
Chapter 4: Open Governance
Chapter 5: Digital Activism
Chapter 6: e-Voting
Chapter 7: Global Trends that Influence Digital Democracy
Chapter 8: Foreign Interferences in Democracy}},
  author       = {{Fuchs, Christian and Friesch, Kevin and Museba, Joel}},
  pages        = {{320}},
  publisher    = {{INNOVADE}},
  title        = {{{INNOVADE Interdisciplinary Knowledge Base on Digital Democracy - D2.1 }}},
  doi          = {{10.5281/zenodo.17079016}},
  year         = {{2025}},
}

@book{63178,
  author       = {{Jablonski, Simone}},
  isbn         = {{9783658477509}},
  publisher    = {{Springer Fachmedien Wiesbaden}},
  title        = {{{Modelling, Argumentation and Problem-Solving in the Context of Outdoor Mathematics}}},
  doi          = {{10.1007/978-3-658-47751-6}},
  year         = {{2025}},
}

@inproceedings{63069,
  abstract     = {{Im Beitrag wird die professionelle Unterrichtswahrnehmung von (angehenden) Lehrkräften bezogen auf die Anforderungssituation 'Gemeinsam Gespräche moderieren' im Kontext des flexiblen Rechnens in Jahrgangsstufe 1 betrachtet. Die Studie untersucht mittels Videovignetten expertise-bezogene Unterschiede in der professionellen Wahrnehmung, indem je 10 angehende und erfahrene Mathematiklehrkräfte betrachtet werden. Die zunächst inhaltsanalytisch ausgewerteten Daten der beiden Gruppen werden mittels der epistemischen Netzwerkanalyse verglichen. Es werden erste Ergebnisse berichtet.}},
  author       = {{Becker, Federica}},
  location     = {{Universität des Saarlandes, Saarbrücken}},
  publisher    = {{Gesellschaft für Didaktik der Mathematik, Beiträge zum Mathematikunterricht; 58}},
  title        = {{{Professionelle Wahrnehmung der Anforderungssituation 'Gespräche zum flexiblen Rechnen moderieren': Ein Vergleich zwischen angehenden und erfahrenen Lehrkräften mittels Epistemic Network Analysis}}},
  doi          = {{10.17877/DE290R-25881}},
  year         = {{2025}},
}

@inbook{63212,
  author       = {{Riese, Josef and Reinhold, Peter}},
  booktitle    = {{Handbuch Lehrerinnen- und Lehrerbildung}},
  editor       = {{Cramer, Colin and König, Johannes  and Rothland, Martin}},
  isbn         = {{978-3-8365-6544-6}},
  publisher    = {{Verlag Julius Klinkhardt}},
  title        = {{{Physik in der Lehrerinnen- und Lehrerbildung - Empirisch fundierte Curricula in einer digitalen Welt}}},
  doi          = {{10.35468/hblb2025-076}},
  year         = {{2025}},
}

@article{63244,
  abstract     = {{<jats:p>
            The Cauchy problem in 
            <jats:inline-formula>
              <jats:tex-math>\mathbb{R}^{n}</jats:tex-math>
            </jats:inline-formula>
             for the cross-diffusion system 
          </jats:p>
          <jats:p>
            <jats:disp-formula>
              <jats:tex-math>\begin{cases}u_{t} = \nabla \cdot (D(u)\nabla u) - \nabla\cdot (u\nabla v), \\ 0 = \Delta v +u,\end{cases}</jats:tex-math>
            </jats:disp-formula>
          </jats:p>
          <jats:p>
             is considered for 
            <jats:inline-formula>
              <jats:tex-math>n\ge 2</jats:tex-math>
            </jats:inline-formula>
             and under assumptions ensuring that 
            <jats:inline-formula>
              <jats:tex-math>D</jats:tex-math>
            </jats:inline-formula>
             suitably generalizes the prototype given by 
          </jats:p>
          <jats:p>
            <jats:disp-formula>
              <jats:tex-math>D(\xi)=(\xi+1)^{-\alpha}, \quad \xi\ge 0.</jats:tex-math>
            </jats:disp-formula>
          </jats:p>
          <jats:p>
             Under the assumption that 
            <jats:inline-formula>
              <jats:tex-math>\alpha&gt;1</jats:tex-math>
            </jats:inline-formula>
            , it is shown that for any 
            <jats:inline-formula>
              <jats:tex-math>r_{\star}&gt;0</jats:tex-math>
            </jats:inline-formula>
             and 
            <jats:inline-formula>
              <jats:tex-math>\delta\in (0,1)</jats:tex-math>
            </jats:inline-formula>
             one can find radially symmetric initial data from 
            <jats:inline-formula>
              <jats:tex-math>C_{0}^{\infty}(\mathbb{R}^{n})</jats:tex-math>
            </jats:inline-formula>
             such that the corresponding solution blows up within some finite time, and that this explosion occurs throughout certain spheres in an appropriate sense, with any such sphere being located in the annulus 
            <jats:inline-formula>
              <jats:tex-math>\overline{B}_{r_\star+\delta}(0)\setminus B_{(1-\delta)r_\star}(0)</jats:tex-math>
            </jats:inline-formula>
            .This is complemented by a result revealing that when 
            <jats:inline-formula>
              <jats:tex-math>\alpha&lt;1</jats:tex-math>
            </jats:inline-formula>
            , any finite-mass unbounded radial solution must blow up exclusively at the spatial origin.
          </jats:p>}},
  author       = {{Winkler, Michael}},
  issn         = {{1435-9855}},
  journal      = {{Journal of the European Mathematical Society}},
  publisher    = {{European Mathematical Society - EMS - Publishing House GmbH}},
  title        = {{{Can diffusion degeneracies enhance complexity in chemotactic aggregation? Finite-time blow-up on spheres in a quasilinear Keller–Segel system}}},
  doi          = {{10.4171/jems/1607}},
  year         = {{2025}},
}

@article{63344,
  abstract     = {{<jats:title>Abstract</jats:title>
          <jats:p>A Neumann-type initial-boundary value problem for <jats:disp-formula>
              <jats:alternatives>
                <jats:tex-math>$$\begin{aligned} \left\{ \begin{array}{l} u_{tt} = \nabla \cdot (\gamma (\Theta ) \nabla u_t) + a \nabla \cdot (\gamma (\Theta ) \nabla u) + \nabla \cdot f(\Theta ), \\ \Theta _t = D\Delta \Theta + \Gamma (\Theta ) |\nabla u_t|^2 + F(\Theta )\cdot \nabla u_t, \end{array} \right. \end{aligned}$$</jats:tex-math>
                <mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML">
                  <mml:mrow>
                    <mml:mtable>
                      <mml:mtr>
                        <mml:mtd>
                          <mml:mfenced>
                            <mml:mrow>
                              <mml:mtable>
                                <mml:mtr>
                                  <mml:mtd>
                                    <mml:mrow>
                                      <mml:msub>
                                        <mml:mi>u</mml:mi>
                                        <mml:mrow>
                                          <mml:mi>tt</mml:mi>
                                        </mml:mrow>
                                      </mml:msub>
                                      <mml:mo>=</mml:mo>
                                      <mml:mi>∇</mml:mi>
                                      <mml:mo>·</mml:mo>
                                      <mml:mrow>
                                        <mml:mo>(</mml:mo>
                                        <mml:mi>γ</mml:mi>
                                        <mml:mrow>
                                          <mml:mo>(</mml:mo>
                                          <mml:mi>Θ</mml:mi>
                                          <mml:mo>)</mml:mo>
                                        </mml:mrow>
                                        <mml:mi>∇</mml:mi>
                                        <mml:msub>
                                          <mml:mi>u</mml:mi>
                                          <mml:mi>t</mml:mi>
                                        </mml:msub>
                                        <mml:mo>)</mml:mo>
                                      </mml:mrow>
                                      <mml:mo>+</mml:mo>
                                      <mml:mi>a</mml:mi>
                                      <mml:mi>∇</mml:mi>
                                      <mml:mo>·</mml:mo>
                                      <mml:mrow>
                                        <mml:mo>(</mml:mo>
                                        <mml:mi>γ</mml:mi>
                                        <mml:mrow>
                                          <mml:mo>(</mml:mo>
                                          <mml:mi>Θ</mml:mi>
                                          <mml:mo>)</mml:mo>
                                        </mml:mrow>
                                        <mml:mi>∇</mml:mi>
                                        <mml:mi>u</mml:mi>
                                        <mml:mo>)</mml:mo>
                                      </mml:mrow>
                                      <mml:mo>+</mml:mo>
                                      <mml:mi>∇</mml:mi>
                                      <mml:mo>·</mml:mo>
                                      <mml:mi>f</mml:mi>
                                      <mml:mrow>
                                        <mml:mo>(</mml:mo>
                                        <mml:mi>Θ</mml:mi>
                                        <mml:mo>)</mml:mo>
                                      </mml:mrow>
                                      <mml:mo>,</mml:mo>
                                    </mml:mrow>
                                  </mml:mtd>
                                </mml:mtr>
                                <mml:mtr>
                                  <mml:mtd>
                                    <mml:mrow>
                                      <mml:mrow/>
                                      <mml:msub>
                                        <mml:mi>Θ</mml:mi>
                                        <mml:mi>t</mml:mi>
                                      </mml:msub>
                                      <mml:mo>=</mml:mo>
                                      <mml:mi>D</mml:mi>
                                      <mml:mi>Δ</mml:mi>
                                      <mml:mi>Θ</mml:mi>
                                      <mml:mo>+</mml:mo>
                                      <mml:mi>Γ</mml:mi>
                                      <mml:mrow>
                                        <mml:mo>(</mml:mo>
                                        <mml:mi>Θ</mml:mi>
                                        <mml:mo>)</mml:mo>
                                      </mml:mrow>
                                      <mml:msup>
                                        <mml:mrow>
                                          <mml:mo>|</mml:mo>
                                          <mml:mi>∇</mml:mi>
                                          <mml:msub>
                                            <mml:mi>u</mml:mi>
                                            <mml:mi>t</mml:mi>
                                          </mml:msub>
                                          <mml:mo>|</mml:mo>
                                        </mml:mrow>
                                        <mml:mn>2</mml:mn>
                                      </mml:msup>
                                      <mml:mo>+</mml:mo>
                                      <mml:mi>F</mml:mi>
                                      <mml:mrow>
                                        <mml:mo>(</mml:mo>
                                        <mml:mi>Θ</mml:mi>
                                        <mml:mo>)</mml:mo>
                                      </mml:mrow>
                                      <mml:mo>·</mml:mo>
                                      <mml:mi>∇</mml:mi>
                                      <mml:msub>
                                        <mml:mi>u</mml:mi>
                                        <mml:mi>t</mml:mi>
                                      </mml:msub>
                                      <mml:mo>,</mml:mo>
                                    </mml:mrow>
                                  </mml:mtd>
                                </mml:mtr>
                              </mml:mtable>
                            </mml:mrow>
                          </mml:mfenced>
                        </mml:mtd>
                      </mml:mtr>
                    </mml:mtable>
                  </mml:mrow>
                </mml:math>
              </jats:alternatives>
            </jats:disp-formula>is considered in a smoothly bounded domain <jats:inline-formula>
              <jats:alternatives>
                <jats:tex-math>$$\Omega \subset \mathbb {R}^n$$</jats:tex-math>
                <mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML">
                  <mml:mrow>
                    <mml:mi>Ω</mml:mi>
                    <mml:mo>⊂</mml:mo>
                    <mml:msup>
                      <mml:mrow>
                        <mml:mi>R</mml:mi>
                      </mml:mrow>
                      <mml:mi>n</mml:mi>
                    </mml:msup>
                  </mml:mrow>
                </mml:math>
              </jats:alternatives>
            </jats:inline-formula>, <jats:inline-formula>
              <jats:alternatives>
                <jats:tex-math>$$n\ge 1$$</jats:tex-math>
                <mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML">
                  <mml:mrow>
                    <mml:mi>n</mml:mi>
                    <mml:mo>≥</mml:mo>
                    <mml:mn>1</mml:mn>
                  </mml:mrow>
                </mml:math>
              </jats:alternatives>
            </jats:inline-formula>. In the case when <jats:inline-formula>
              <jats:alternatives>
                <jats:tex-math>$$n=1$$</jats:tex-math>
                <mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML">
                  <mml:mrow>
                    <mml:mi>n</mml:mi>
                    <mml:mo>=</mml:mo>
                    <mml:mn>1</mml:mn>
                  </mml:mrow>
                </mml:math>
              </jats:alternatives>
            </jats:inline-formula>, <jats:inline-formula>
              <jats:alternatives>
                <jats:tex-math>$$\gamma \equiv \Gamma $$</jats:tex-math>
                <mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML">
                  <mml:mrow>
                    <mml:mi>γ</mml:mi>
                    <mml:mo>≡</mml:mo>
                    <mml:mi>Γ</mml:mi>
                  </mml:mrow>
                </mml:math>
              </jats:alternatives>
            </jats:inline-formula> and <jats:inline-formula>
              <jats:alternatives>
                <jats:tex-math>$$f\equiv F$$</jats:tex-math>
                <mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML">
                  <mml:mrow>
                    <mml:mi>f</mml:mi>
                    <mml:mo>≡</mml:mo>
                    <mml:mi>F</mml:mi>
                  </mml:mrow>
                </mml:math>
              </jats:alternatives>
            </jats:inline-formula>, this system coincides with the standard model for heat generation in a viscoelastic material of Kelvin-Voigt type, well-understood in situations in which <jats:inline-formula>
              <jats:alternatives>
                <jats:tex-math>$$\gamma =const$$</jats:tex-math>
                <mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML">
                  <mml:mrow>
                    <mml:mi>γ</mml:mi>
                    <mml:mo>=</mml:mo>
                    <mml:mi>c</mml:mi>
                    <mml:mi>o</mml:mi>
                    <mml:mi>n</mml:mi>
                    <mml:mi>s</mml:mi>
                    <mml:mi>t</mml:mi>
                  </mml:mrow>
                </mml:math>
              </jats:alternatives>
            </jats:inline-formula>. Covering scenarios in which all key ingredients <jats:inline-formula>
              <jats:alternatives>
                <jats:tex-math>$$\gamma ,\Gamma ,f$$</jats:tex-math>
                <mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML">
                  <mml:mrow>
                    <mml:mi>γ</mml:mi>
                    <mml:mo>,</mml:mo>
                    <mml:mi>Γ</mml:mi>
                    <mml:mo>,</mml:mo>
                    <mml:mi>f</mml:mi>
                  </mml:mrow>
                </mml:math>
              </jats:alternatives>
            </jats:inline-formula> and <jats:italic>F</jats:italic> may depend on the temperature <jats:inline-formula>
              <jats:alternatives>
                <jats:tex-math>$$\Theta $$</jats:tex-math>
                <mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML">
                  <mml:mi>Θ</mml:mi>
                </mml:math>
              </jats:alternatives>
            </jats:inline-formula> here, for initial data which merely satisfy <jats:inline-formula>
              <jats:alternatives>
                <jats:tex-math>$$u_0\in W^{1,p+2}(\Omega )$$</jats:tex-math>
                <mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML">
                  <mml:mrow>
                    <mml:msub>
                      <mml:mi>u</mml:mi>
                      <mml:mn>0</mml:mn>
                    </mml:msub>
                    <mml:mo>∈</mml:mo>
                    <mml:msup>
                      <mml:mi>W</mml:mi>
                      <mml:mrow>
                        <mml:mn>1</mml:mn>
                        <mml:mo>,</mml:mo>
                        <mml:mi>p</mml:mi>
                        <mml:mo>+</mml:mo>
                        <mml:mn>2</mml:mn>
                      </mml:mrow>
                    </mml:msup>
                    <mml:mrow>
                      <mml:mo>(</mml:mo>
                      <mml:mi>Ω</mml:mi>
                      <mml:mo>)</mml:mo>
                    </mml:mrow>
                  </mml:mrow>
                </mml:math>
              </jats:alternatives>
            </jats:inline-formula>, <jats:inline-formula>
              <jats:alternatives>
                <jats:tex-math>$$u_{0t}\in W^{1,p}(\Omega )$$</jats:tex-math>
                <mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML">
                  <mml:mrow>
                    <mml:msub>
                      <mml:mi>u</mml:mi>
                      <mml:mrow>
                        <mml:mn>0</mml:mn>
                        <mml:mi>t</mml:mi>
                      </mml:mrow>
                    </mml:msub>
                    <mml:mo>∈</mml:mo>
                    <mml:msup>
                      <mml:mi>W</mml:mi>
                      <mml:mrow>
                        <mml:mn>1</mml:mn>
                        <mml:mo>,</mml:mo>
                        <mml:mi>p</mml:mi>
                      </mml:mrow>
                    </mml:msup>
                    <mml:mrow>
                      <mml:mo>(</mml:mo>
                      <mml:mi>Ω</mml:mi>
                      <mml:mo>)</mml:mo>
                    </mml:mrow>
                  </mml:mrow>
                </mml:math>
              </jats:alternatives>
            </jats:inline-formula> and <jats:inline-formula>
              <jats:alternatives>
                <jats:tex-math>$$\Theta _0\in W^{1,p}(\Omega )$$</jats:tex-math>
                <mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML">
                  <mml:mrow>
                    <mml:msub>
                      <mml:mi>Θ</mml:mi>
                      <mml:mn>0</mml:mn>
                    </mml:msub>
                    <mml:mo>∈</mml:mo>
                    <mml:msup>
                      <mml:mi>W</mml:mi>
                      <mml:mrow>
                        <mml:mn>1</mml:mn>
                        <mml:mo>,</mml:mo>
                        <mml:mi>p</mml:mi>
                      </mml:mrow>
                    </mml:msup>
                    <mml:mrow>
                      <mml:mo>(</mml:mo>
                      <mml:mi>Ω</mml:mi>
                      <mml:mo>)</mml:mo>
                    </mml:mrow>
                  </mml:mrow>
                </mml:math>
              </jats:alternatives>
            </jats:inline-formula> with some <jats:inline-formula>
              <jats:alternatives>
                <jats:tex-math>$$p\ge 2$$</jats:tex-math>
                <mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML">
                  <mml:mrow>
                    <mml:mi>p</mml:mi>
                    <mml:mo>≥</mml:mo>
                    <mml:mn>2</mml:mn>
                  </mml:mrow>
                </mml:math>
              </jats:alternatives>
            </jats:inline-formula> such that <jats:inline-formula>
              <jats:alternatives>
                <jats:tex-math>$$p&gt;n$$</jats:tex-math>
                <mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML">
                  <mml:mrow>
                    <mml:mi>p</mml:mi>
                    <mml:mo>&gt;</mml:mo>
                    <mml:mi>n</mml:mi>
                  </mml:mrow>
                </mml:math>
              </jats:alternatives>
            </jats:inline-formula>, a result on local-in-time existence and uniqueness is derived in a natural framework of weak solvability.</jats:p>}},
  author       = {{Winkler, Michael}},
  issn         = {{0095-4616}},
  journal      = {{Applied Mathematics &amp; Optimization}},
  number       = {{2}},
  publisher    = {{Springer Science and Business Media LLC}},
  title        = {{{Rough Data in an Evolution System Generalizing 1D Thermoviscoelasticity with Temperature-Dependent Parameters}}},
  doi          = {{10.1007/s00245-025-10243-9}},
  volume       = {{91}},
  year         = {{2025}},
}

@article{63242,
  abstract     = {{<jats:title>Abstract</jats:title>
                  <jats:p>
                    For
                    <jats:inline-formula>
                      <jats:alternatives>
                        <jats:tex-math>$$p&gt;2$$</jats:tex-math>
                        <mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML">
                          <mml:mrow>
                            <mml:mi>p</mml:mi>
                            <mml:mo>&gt;</mml:mo>
                            <mml:mn>2</mml:mn>
                          </mml:mrow>
                        </mml:math>
                      </jats:alternatives>
                    </jats:inline-formula>
                    , the equation
                    <jats:disp-formula>
                      <jats:alternatives>
                        <jats:tex-math>$$\begin{aligned} u_t = u^p u_{xx}, \qquad x\in \mathbb {R}, \ t\in \mathbb {R}, \end{aligned}$$</jats:tex-math>
                        <mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML">
                          <mml:mrow>
                            <mml:mtable>
                              <mml:mtr>
                                <mml:mtd>
                                  <mml:mrow>
                                    <mml:msub>
                                      <mml:mi>u</mml:mi>
                                      <mml:mi>t</mml:mi>
                                    </mml:msub>
                                    <mml:mo>=</mml:mo>
                                    <mml:msup>
                                      <mml:mi>u</mml:mi>
                                      <mml:mi>p</mml:mi>
                                    </mml:msup>
                                    <mml:msub>
                                      <mml:mi>u</mml:mi>
                                      <mml:mrow>
                                        <mml:mi>xx</mml:mi>
                                      </mml:mrow>
                                    </mml:msub>
                                    <mml:mo>,</mml:mo>
                                    <mml:mspace/>
                                    <mml:mi>x</mml:mi>
                                    <mml:mo>∈</mml:mo>
                                    <mml:mi>R</mml:mi>
                                    <mml:mo>,</mml:mo>
                                    <mml:mspace/>
                                    <mml:mi>t</mml:mi>
                                    <mml:mo>∈</mml:mo>
                                    <mml:mi>R</mml:mi>
                                    <mml:mo>,</mml:mo>
                                  </mml:mrow>
                                </mml:mtd>
                              </mml:mtr>
                            </mml:mtable>
                          </mml:mrow>
                        </mml:math>
                      </jats:alternatives>
                    </jats:disp-formula>
                    is shown to admit positive and spatially increasing smooth solutions on all of
                    <jats:inline-formula>
                      <jats:alternatives>
                        <jats:tex-math>$$\mathbb {R}\times \mathbb {R}$$</jats:tex-math>
                        <mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML">
                          <mml:mrow>
                            <mml:mi>R</mml:mi>
                            <mml:mo>×</mml:mo>
                            <mml:mi>R</mml:mi>
                          </mml:mrow>
                        </mml:math>
                      </jats:alternatives>
                    </jats:inline-formula>
                    which are precisely of the form of an accelerating wave for
                    <jats:inline-formula>
                      <jats:alternatives>
                        <jats:tex-math>$$t&lt;0$$</jats:tex-math>
                        <mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML">
                          <mml:mrow>
                            <mml:mi>t</mml:mi>
                            <mml:mo>&lt;</mml:mo>
                            <mml:mn>0</mml:mn>
                          </mml:mrow>
                        </mml:math>
                      </jats:alternatives>
                    </jats:inline-formula>
                    , and of a wave slowing down for
                    <jats:inline-formula>
                      <jats:alternatives>
                        <jats:tex-math>$$t&gt;0$$</jats:tex-math>
                        <mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML">
                          <mml:mrow>
                            <mml:mi>t</mml:mi>
                            <mml:mo>&gt;</mml:mo>
                            <mml:mn>0</mml:mn>
                          </mml:mrow>
                        </mml:math>
                      </jats:alternatives>
                    </jats:inline-formula>
                    . These solutions satisfy
                    <jats:inline-formula>
                      <jats:alternatives>
                        <jats:tex-math>$$u(\cdot ,t)\rightarrow 0$$</jats:tex-math>
                        <mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML">
                          <mml:mrow>
                            <mml:mi>u</mml:mi>
                            <mml:mo>(</mml:mo>
                            <mml:mo>·</mml:mo>
                            <mml:mo>,</mml:mo>
                            <mml:mi>t</mml:mi>
                            <mml:mo>)</mml:mo>
                            <mml:mo>→</mml:mo>
                            <mml:mn>0</mml:mn>
                          </mml:mrow>
                        </mml:math>
                      </jats:alternatives>
                    </jats:inline-formula>
                    in
                    <jats:inline-formula>
                      <jats:alternatives>
                        <jats:tex-math>$$L^\infty _{loc}(\mathbb {R})$$</jats:tex-math>
                        <mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML">
                          <mml:mrow>
                            <mml:msubsup>
                              <mml:mi>L</mml:mi>
                              <mml:mrow>
                                <mml:mi>loc</mml:mi>
                              </mml:mrow>
                              <mml:mi>∞</mml:mi>
                            </mml:msubsup>
                            <mml:mrow>
                              <mml:mo>(</mml:mo>
                              <mml:mi>R</mml:mi>
                              <mml:mo>)</mml:mo>
                            </mml:mrow>
                          </mml:mrow>
                        </mml:math>
                      </jats:alternatives>
                    </jats:inline-formula>
                    as
                    <jats:inline-formula>
                      <jats:alternatives>
                        <jats:tex-math>$$t\rightarrow + \infty $$</jats:tex-math>
                        <mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML">
                          <mml:mrow>
                            <mml:mi>t</mml:mi>
                            <mml:mo>→</mml:mo>
                            <mml:mo>+</mml:mo>
                            <mml:mi>∞</mml:mi>
                          </mml:mrow>
                        </mml:math>
                      </jats:alternatives>
                    </jats:inline-formula>
                    and as
                    <jats:inline-formula>
                      <jats:alternatives>
                        <jats:tex-math>$$t\rightarrow -\infty $$</jats:tex-math>
                        <mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML">
                          <mml:mrow>
                            <mml:mi>t</mml:mi>
                            <mml:mo>→</mml:mo>
                            <mml:mo>-</mml:mo>
                            <mml:mi>∞</mml:mi>
                          </mml:mrow>
                        </mml:math>
                      </jats:alternatives>
                    </jats:inline-formula>
                    , and exhibit a yet apparently undiscovered phenomenon of transient rapid spatial growth, in the sense that
                    <jats:disp-formula>
                      <jats:alternatives>
                        <jats:tex-math>$$\begin{aligned} \lim _{x\rightarrow +\infty } x^{-1} u(x,t) \quad \text{ exists } \text{ for } \text{ all } t&lt;0, \end{aligned}$$</jats:tex-math>
                        <mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML">
                          <mml:mrow>
                            <mml:mtable>
                              <mml:mtr>
                                <mml:mtd>
                                  <mml:mrow>
                                    <mml:munder>
                                      <mml:mo>lim</mml:mo>
                                      <mml:mrow>
                                        <mml:mi>x</mml:mi>
                                        <mml:mo>→</mml:mo>
                                        <mml:mo>+</mml:mo>
                                        <mml:mi>∞</mml:mi>
                                      </mml:mrow>
                                    </mml:munder>
                                    <mml:msup>
                                      <mml:mi>x</mml:mi>
                                      <mml:mrow>
                                        <mml:mo>-</mml:mo>
                                        <mml:mn>1</mml:mn>
                                      </mml:mrow>
                                    </mml:msup>
                                    <mml:mi>u</mml:mi>
                                    <mml:mrow>
                                      <mml:mo>(</mml:mo>
                                      <mml:mi>x</mml:mi>
                                      <mml:mo>,</mml:mo>
                                      <mml:mi>t</mml:mi>
                                      <mml:mo>)</mml:mo>
                                    </mml:mrow>
                                    <mml:mspace/>
                                    <mml:mspace/>
                                    <mml:mtext>exists</mml:mtext>
                                    <mml:mspace/>
                                    <mml:mspace/>
                                    <mml:mtext>for</mml:mtext>
                                    <mml:mspace/>
                                    <mml:mspace/>
                                    <mml:mtext>all</mml:mtext>
                                    <mml:mspace/>
                                    <mml:mi>t</mml:mi>
                                    <mml:mo>&lt;</mml:mo>
                                    <mml:mn>0</mml:mn>
                                    <mml:mo>,</mml:mo>
                                  </mml:mrow>
                                </mml:mtd>
                              </mml:mtr>
                            </mml:mtable>
                          </mml:mrow>
                        </mml:math>
                      </jats:alternatives>
                    </jats:disp-formula>
                    that
                    <jats:disp-formula>
                      <jats:alternatives>
                        <jats:tex-math>$$\begin{aligned} \lim _{x\rightarrow +\infty } x^{-\frac{2}{p}} u(x,t) \quad \text{ exists } \text{ for } \text{ all } t&gt;0, \end{aligned}$$</jats:tex-math>
                        <mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML">
                          <mml:mrow>
                            <mml:mtable>
                              <mml:mtr>
                                <mml:mtd>
                                  <mml:mrow>
                                    <mml:munder>
                                      <mml:mo>lim</mml:mo>
                                      <mml:mrow>
                                        <mml:mi>x</mml:mi>
                                        <mml:mo>→</mml:mo>
                                        <mml:mo>+</mml:mo>
                                        <mml:mi>∞</mml:mi>
                                      </mml:mrow>
                                    </mml:munder>
                                    <mml:msup>
                                      <mml:mi>x</mml:mi>
                                      <mml:mrow>
                                        <mml:mo>-</mml:mo>
                                        <mml:mfrac>
                                          <mml:mn>2</mml:mn>
                                          <mml:mi>p</mml:mi>
                                        </mml:mfrac>
                                      </mml:mrow>
                                    </mml:msup>
                                    <mml:mi>u</mml:mi>
                                    <mml:mrow>
                                      <mml:mo>(</mml:mo>
                                      <mml:mi>x</mml:mi>
                                      <mml:mo>,</mml:mo>
                                      <mml:mi>t</mml:mi>
                                      <mml:mo>)</mml:mo>
                                    </mml:mrow>
                                    <mml:mspace/>
                                    <mml:mspace/>
                                    <mml:mtext>exists</mml:mtext>
                                    <mml:mspace/>
                                    <mml:mspace/>
                                    <mml:mtext>for</mml:mtext>
                                    <mml:mspace/>
                                    <mml:mspace/>
                                    <mml:mtext>all</mml:mtext>
                                    <mml:mspace/>
                                    <mml:mi>t</mml:mi>
                                    <mml:mo>&gt;</mml:mo>
                                    <mml:mn>0</mml:mn>
                                    <mml:mo>,</mml:mo>
                                  </mml:mrow>
                                </mml:mtd>
                              </mml:mtr>
                            </mml:mtable>
                          </mml:mrow>
                        </mml:math>
                      </jats:alternatives>
                    </jats:disp-formula>
                    but that
                    <jats:disp-formula>
                      <jats:alternatives>
                        <jats:tex-math>$$\begin{aligned} u(x,0)=K e^{\alpha x} \qquad \text{ for } \text{ all } x\in \mathbb {R}\end{aligned}$$</jats:tex-math>
                        <mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML">
                          <mml:mrow>
                            <mml:mtable>
                              <mml:mtr>
                                <mml:mtd>
                                  <mml:mrow>
                                    <mml:mi>u</mml:mi>
                                    <mml:mrow>
                                      <mml:mo>(</mml:mo>
                                      <mml:mi>x</mml:mi>
                                      <mml:mo>,</mml:mo>
                                      <mml:mn>0</mml:mn>
                                      <mml:mo>)</mml:mo>
                                    </mml:mrow>
                                    <mml:mo>=</mml:mo>
                                    <mml:mi>K</mml:mi>
                                    <mml:msup>
                                      <mml:mi>e</mml:mi>
                                      <mml:mrow>
                                        <mml:mi>α</mml:mi>
                                        <mml:mi>x</mml:mi>
                                      </mml:mrow>
                                    </mml:msup>
                                    <mml:mspace/>
                                    <mml:mspace/>
                                    <mml:mtext>for</mml:mtext>
                                    <mml:mspace/>
                                    <mml:mspace/>
                                    <mml:mtext>all</mml:mtext>
                                    <mml:mspace/>
                                    <mml:mi>x</mml:mi>
                                    <mml:mo>∈</mml:mo>
                                    <mml:mi>R</mml:mi>
                                  </mml:mrow>
                                </mml:mtd>
                              </mml:mtr>
                            </mml:mtable>
                          </mml:mrow>
                        </mml:math>
                      </jats:alternatives>
                    </jats:disp-formula>
                    with some
                    <jats:inline-formula>
                      <jats:alternatives>
                        <jats:tex-math>$$K&gt;0$$</jats:tex-math>
                        <mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML">
                          <mml:mrow>
                            <mml:mi>K</mml:mi>
                            <mml:mo>&gt;</mml:mo>
                            <mml:mn>0</mml:mn>
                          </mml:mrow>
                        </mml:math>
                      </jats:alternatives>
                    </jats:inline-formula>
                    and
                    <jats:inline-formula>
                      <jats:alternatives>
                        <jats:tex-math>$$\alpha &gt;0$$</jats:tex-math>
                        <mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML">
                          <mml:mrow>
                            <mml:mi>α</mml:mi>
                            <mml:mo>&gt;</mml:mo>
                            <mml:mn>0</mml:mn>
                          </mml:mrow>
                        </mml:math>
                      </jats:alternatives>
                    </jats:inline-formula>
                    .
                  </jats:p>}},
  author       = {{Hanfland, Celina and Winkler, Michael}},
  issn         = {{2296-9020}},
  journal      = {{Journal of Elliptic and Parabolic Equations}},
  number       = {{3}},
  pages        = {{2041--2063}},
  publisher    = {{Springer Science and Business Media LLC}},
  title        = {{{Exactly wave-type homoclinic orbits and emergence of transient exponential growth in a super-fast diffusion equation}}},
  doi          = {{10.1007/s41808-025-00316-9}},
  volume       = {{11}},
  year         = {{2025}},
}

@phdthesis{62766,
  abstract     = {{raditional assessment formats in university-based EFL teacher education programs usually focus on cognitive dispositions rather than on the actual performance of pre-service EFL teachers in everyday teaching situations. This assessment gap is addressed in this thesis by developing and validating a role-play-based simulation (RobS) designed for the summative assessment of pre-service EFL teachers' feedback competence on writing. Drawing on theories from multiple disciplines, such as higher education, medical education, teacher education, educational psychology, and EFL-specific didactics, the RobS is developed as a performance-oriented assessment format. In the RobS, pre-service EFL teachers engage in a feedback conversation with trained actors who portray a standardized learner. Following an argument-based approach to validation, the extent to which the RobS can be considered valid is investigated. Data from multiple studies, focusing on aspects such as authenticity, fairness, reliability, and external validity, are presented. The discussion in the validity argument indicates that the RobS can elicit and assess the performative facet of feedback competence on writing with sufficient confidence. This work contributes a novel, empirically supported assessment framework to teacher education research. Moreover, it presents an approach to address the assessment gap, enabling pre-service EFL teachers to show how they provide feedback, rather than just tell their lecturers about it.}},
  author       = {{Janzen, Thomas}},
  publisher    = {{Logos Verlag}},
  title        = {{{Show, don’t tell - Developing and Validating a Role-Play-Based Simulation (RobS) for the Assessment of Pre-Service EFL Teachers’ Feedback Competence on Writing}}},
  doi          = {{https://doi.org/10.30819/5994}},
  year         = {{2025}},
}

@article{63410,
  abstract     = {{<jats:p>
                    Lateral ankle sprain (LAS) is the most common traumatic injury, with a high recurrence rate and chronic ankle instability (CAI) developing in ∼40% of cases. LAS leads to patho-mechanical, sensory-perceptual and motor-behavioral deficits. Poor management of the return-to-sport (RTS) is now considered a major cause of re-injury and development of CAI, particularly due to the lack of validated tests and the failure of existing ones to account for those central deficits. The first part of this topic aimed to clarify concepts of cognitive constructs and sensory reweighting and their association with CAI. We also aimed to identify objective RTS criteria and discuss their limits regarding their ability to encompass central impairments. Motor-cognitive deficits have been identified using computerized cognitive tasks and dual-task paradigms. More specifically, deficits in visual memory, processing speed or inhibitory control and attentional resource allocation have demonstrated reduced performance in CAI populations. In addition, altered sensory reweighting process towards visual input has also been observed. While objective criteria are crucial to prevent re-injury, current evaluations remain largely subjective and central impairments are unaccounted for in conventional RTS testing. The Ankle-GO
                    <jats:sup>TM</jats:sup>
                    score was recently developed to guide clinicians in decision making process. To date, it is the first validated score that could help to identify patients who will RTS at the same level, those at risk of recurrence and those who are more likely to become copers. Unfortunately, it does not target cognitive or sensory reweighting alterations, that are both relevant in sport to manage gameplay demands.
                  </jats:p>}},
  author       = {{Picot, Brice and Maricot, Alexandre and Fourchet, François and Gokeler, Alli and Tassignon, Bruno and Lopes, Ronny and Hardy, Alexandre}},
  issn         = {{2624-9367}},
  journal      = {{Frontiers in Sports and Active Living}},
  publisher    = {{Frontiers Media SA}},
  title        = {{{Targeting visual-sensory and cognitive impairments following lateral ankle sprains: a practical framework for functional assessment across the return-to-sport continuum—Part 1. Sensory reweighting and cognitive impairments: what are we really talking about and why clinicians should consider central alterations in return to sport criteria}}},
  doi          = {{10.3389/fspor.2025.1668224}},
  volume       = {{7}},
  year         = {{2025}},
}

@inproceedings{60604,
  abstract     = {{<jats:p>Abstract. In the field of online condition monitoring, non-destructive testing methods using active acoustic testing [1] emerged as innovative tools. These techniques are particularly effective because damage in joined structures leads to significant changes in their vibrational characteristics. However, the consistent use of online condition monitoring through active acoustic testing combined with complex pattern recognition for early crack detection in joined components has not yet been fully established. This research aims to develop an online crack detection system employing pattern recognition techniques under cyclic loading during fatigue tests, utilizing non-contact active acoustic testing with laser vibrometry. Due to the wide range of materials that can be joined, mechanical joining processes can be used in many different industry branches. Self-pierce riveting (SPR), in particular, is a well-established joining process. Therefore, the investigations for online crack detection initially focus on SPR joints. To achieve this, the fatigue behavior of SPR joints in a lap-shear configuration was characterized. Experimental fatigue testing demonstrated that SPR joint failure occurs either through cracks propagating in the sheet material away from the rivet or in the rivet foot, depending on the material combination. Laser vibrometry has been successfully used as a crack detection system and has proven to be effective in detecting crack initiation in SPR joints. Cracks can be detected without contact regardless of the material combination, the damage location, the size of the damage, or the type of damage.  The optimization of the crack detection system involved several key enhancements, including adjusting data acquisition to improve crack detection, incorporating principal component analysis (PCA) to reduce dimensionality, and implementing a classification model based on a global training dataset. An intuitive, problem-specific software demonstrator for analyzing the crack initiation behavior of SPR joints under cyclic loading was developed and iteratively optimized. Future work will focus on the implementation of an autoencoder network to further enhance crack detection capabilities.</jats:p>}},
  author       = {{Olfert, Viktoria and Yang, Keke and Gollnick, Maik and Krause, Jacob and Hein, David and Meschut, Gerson}},
  booktitle    = {{Materials Research Proceedings}},
  issn         = {{2474-395X}},
  publisher    = {{Materials Research Forum LLC}},
  title        = {{{Analysis of fatigue behaviour of self-piercing riveted joints under cyclic loading using laser vibrometry}}},
  doi          = {{10.21741/9781644903599-154}},
  volume       = {{54}},
  year         = {{2025}},
}

