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1300 Publications
2021 | Journal Article | LibreCat-ID: 35616
M. Winkler, “Global weak solutions in a three-dimensional Keller-Segel-Navier-Stokes system with gradient-dependent flux limitation.,” Nonlinear Analysis: Real World Applications, vol. 59, Art. no. 103257, 2021.
LibreCat
2021 | Journal Article | LibreCat-ID: 35615
M. Winkler, “Suppressing blow-up by gradient-dependent flux limitation in a planar Keller-Segel-Navier-Stokes system.,” Zeitschrift für Angewandte Mathematik und Physik, vol. 72, Art. no. 72, 2021.
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2021 | Journal Article | LibreCat-ID: 35614
M. Winkler, “Can rotational fluxes impede the tendency toward spatial homogeneity in nutrient taxis (-Stokes) systems?,” International Mathematics Research Notices, vol. 2021, pp. 8106–8152, 2021.
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2021 | Journal Article | LibreCat-ID: 35617
M. Winkler, “Boundedness in a three-dimensional Keller-Segel-Stokes system with subcritical sensitivity.,” Applied Mathematics Letters, vol. 112, p. 106785, 2021.
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2021 | Journal Article | LibreCat-ID: 35613
M. Winkler, “Does spatial homogeneity ultimately prevail in nutrient taxis systems? A paradigm for structure support by rapid diffusion decay in an autonomous parabolic flow.,” Transactions of the American Mathematical Society, vol. 374, pp. 219–268, 2021.
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2021 | Journal Article | LibreCat-ID: 37659
M. Rösler and M. Voit, “Positive intertwiners for Bessel functions of type B,” Proceedings of the American Mathematical Society, vol. 149, no. 3, pp. 1151–1163, 2021, doi: 10.1090/proc/15312.
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| DOI
2021 | Journal Article | LibreCat-ID: 35603
Y. Tao and M. Winkler, “A fully cross-diffusive two-component evolution system: Existence and qualitative analysis via entropy-consistent thin-film-type approximation.,” Journal of Functional Analysis, vol. 281, Art. no. 109069, 2021.
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2021 | Journal Article | LibreCat-ID: 35606
Y. Tao and M. Winkler, “The dampening role of large repulsive convection in a chemotaxis system modeling tumor angiogenesis.,” Nonlinear Analysis, Theory, Methods and Applications, vol. 208, Art. no. 112324, 2021.
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2021 | Journal Article | LibreCat-ID: 35612
Y. Wang, M. Winkler, and Z. Xiang, “Immediate regularization of measure-type population densities in a two-dimensional chemotaxis system with signal consumption.,” Science China Mathematics, vol. 64, pp. 725–746, 2021.
LibreCat
2021 | Journal Article | LibreCat-ID: 35601
M. Ding and M. Winkler, “Small-density solutiions in Keller-Segel systems involving rapidly decaying diffusivities.,” Nonlinear Differential Equatiions and Applicatiions, vol. 28, Art. no. 47, 2021.
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2021 | Journal Article | LibreCat-ID: 35605
Y. Tao and M. Winkler, “Global smooth solutions in a two-dimensional cross-diffusion system modeling propagation of urban crime.,” Communications in Mathematical Sciences, vol. 19, pp. 829–849, 2021.
LibreCat
2021 | Journal Article | LibreCat-ID: 35604
Y. Tao and M. Winkler, “Taxis-driven formation of singular hotspots in a May-Nowak type model for virus infection.,” SIAM Journal on Mathematical Analysis, vol. 53, pp. 1411–1433, 2021.
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2021 | Journal Article | LibreCat-ID: 35610
Y. Wang, M. Winkler, and Z. Xiang, “Local energy estimates and global solvability in a threee-dimensional chemotaxis-fluid system with prescribed signal on the boundary.,” Communications in Partial Differential Equations, vol. 46, pp. 1058–1091, 2021.
LibreCat
2021 | Journal Article | LibreCat-ID: 35611
Y. Wang, M. Winkler, and Z. Xiang, “Global solvability in a threee-dimensional Keller-Segel.Stokes system involving arbitrary superlinear logistic degradation,” Advances in Nonlinear Analysis, vol. 10, pp. 707–731, 2021.
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2021 | Journal Article | LibreCat-ID: 35608
Y. Tao and M. Winkler, “Critical mass for infinite-time blow-up in a haptotaxis system with nonlinear zero-order interaction,” Discrete and Continuous Dynamical Systems, vol. 41, no. A, pp. 439–454, 2021.
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2021 | Journal Article | LibreCat-ID: 34840
J. Klüners and T. Komatsu, “Imaginary multiquadratic number fields with class group of exponent $3$ and $5$,” Mathematics of Computation, vol. 90, no. 329, pp. 1483–1497, 2021, doi: 10.1090/mcom/3609.
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| DOI
| arXiv
2021 | Journal Article | LibreCat-ID: 34912
M. Kirschmer, F. Narbonne, C. Ritzenthaler, and D. Robert, “Spanning the isogeny class of a power of an elliptic curve,” Mathematics of Computation, vol. 91, no. 333, pp. 401–449, 2021, doi: 10.1090/mcom/3672.
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| DOI
2021 | Journal Article | LibreCat-ID: 44329
I. Burban and R. Abedin, “Algebraic geometry of Lie bialgebras defined by solutions of the classical Yang-Baxter equation,” Communications in Mathematical Physics, vol. 387, no. 2, pp. 1051–1109, 2021, doi: 10.1007/s00220-021-04188-7.
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| DOI
2021 | Journal Article | LibreCat-ID: 34822
J. Bruns, H. Gasteiger, and C. Strahl, “Conceptualising and measuring domain-specific content knowledge of early childhood educators: A systematic review,” Review of Education, vol. 9, no. 2, pp. 500–538, 2021, doi: 10.1002/rev3.3255.
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| DOI
| WoS
2021 | Journal Article | LibreCat-ID: 45687
J. Bruns and T. Schopferer, “Eine mustergültige Wissenschaft,” . TPS – Theorie und Praxis der Sozialpädagogik, vol. 11, pp. 28–32, 2021.
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2021 | Conference Paper | LibreCat-ID: 36527 | 
S. Jensen, H. Gasteiger, and J. Bruns, “Place value and regrouping as seperate constructs of place value understanding,” in Proceedings of the 44th Conference of the International Group for the Psychology of Mathematics Education, Khon Kaen, Thailand, 2021, vol. 3, pp. 101–109.
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2021 | Journal Article | LibreCat-ID: 34823
J. Bruns, H. Gasteiger, and C. Strahl, “Context and Implications Document for: Conceptualising and measuring domain-specific content knowledge of early childhood educators: A systematic review,” Review of Education, vol. 9, no. 2, pp. 539–540, 2021, doi: 10.1002/rev3.3256.
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| DOI
| WoS
2021 | Conference Paper | LibreCat-ID: 36536 |
S. Jensen, H. Gasteiger, and J. Bruns, “Stellenwertverständnis: Verständnis von Stellenwertprinzip und Bündelungsprinzip als separate Konstrukte,” in Beiträge zum Mathematikunterricht 2021, Lüneburg, 2021, doi: http://dx.doi.org/10.17877/DE290R-22292.
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2021 | Journal Article | LibreCat-ID: 45342
J. Schönherr, J. Blomberg, S. Schukajlow, and C. Leopold, “Do emotions and prior performance facilitate the use of the learner-generated drawing strategy? Effects of enjoyment, anxiety, and intramathematical performance on the use of the drawing strategy and modelling performance,” Contemporary Educational Psychology, vol. 65, 2021, doi: 10.1016/j.cedpsych.2021.101967.
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| DOI
2021 | Journal Article | LibreCat-ID: 45333
J. Schönherr, S. Schukajlow, J. Blomberg, and C. Leopold, “Does strategic knowledge matter? Effects of strategic knowledge about drawing on students’ modeling competencies in the domain of geometry,” Mathematical Thinking and Learning, 2021, doi: 10.1080/10986065.2021.2012741.
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| DOI
2021 | Journal Article | LibreCat-ID: 45343
J. Schönherr, S. Schukajlow, J. Blomberg, and C. Leopold, “The role of strategy-based motivation in mathematical problem solving: The case of learner-generated drawings,” Learning and Instruction, vol. 80, Art. no. 101561, 2021, doi: 10.1016/j.learninstruc.2021.101561.
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| DOI
2021 | Journal Article | LibreCat-ID: 45335
J. Schönherr, S. Schukajlow, and J. Blomberg, “Was ist eine gute Skizze? Strategiewissen beim mathematischen Modellieren im Bereich der Geometrie fördern,” mathematik lehren, vol. 224, pp. 22–27, 2021.
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2021 | Journal Article | LibreCat-ID: 34673
T. Black, M. Fuest, and J. Lankeit, “Relaxed parameter conditions for chemotactic collapse in logistic-type parabolic–elliptic Keller–Segel systems,” Zeitschrift für angewandte Mathematik und Physik, vol. 72, no. 3, Art. no. 96, 2021, doi: 10.1007/s00033-021-01524-8.
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| DOI
2021 | Journal Article | LibreCat-ID: 34675
T. Black and C. Wu, “Prescribed signal concentration on the boundary: Weak solvability in a chemotaxis-Stokes system with proliferation,” Zeitschrift für angewandte Mathematik und Physik, vol. 72, no. 4, Art. no. 135, 2021, doi: 10.1007/s00033-021-01565-z.
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| DOI
2021 | Journal Article | LibreCat-ID: 45381
J. Dröse, S. Prediger, P. Neugebauer, R. D. Danhier, and B. Mertins, “Investigating students’ processes of noticing and interpreting syntactic language features in word problem solving through eye-tracking,” International Electronic Journal of Mathematics Education, 16(1), em0625, 2021, doi: doi.org/10.29333/iejme/9674n .
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| DOI
2021 | Journal Article | LibreCat-ID: 45380
J. Dröse and S. Prediger, “Identifying obstacles is not enough for everybody – Differential efficacy of an intervention fostering fifth graders’ comprehension for word problems,” Studies in Educational Evaluation, 68 (100953), pp. 1–15, 2021, doi: doi.org/10.1016/j.stueduc.2020.100953.
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| DOI
2021 | Journal Article | LibreCat-ID: 31578
U. Häsel-Weide, S. Seitz, M. Wallner, Y. Wilke, and L. Heckmann, “Mit Aufgaben im inklusiven Mathematikunterricht professionell umgehen - Erkenntnisse einer Interviewstudie mit Lehrpersonen der Sekundarstufe,” QfI - Qualifizierung für Inklusion. Online-Zeitschrift zur Forschung über Aus-, Fort- und Weiterbildung pädagogischer Fachkräfte, vol. 3, no. 1, 2021, doi: 10.21248/qfi.57.
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| DOI
2021 | Conference Paper | LibreCat-ID: 31583
M. Hattermann, U. Häsel-Weide, and M. Wallner, “Conceptualiziation processes of 6th graders for rotational symmetry,” in Proceedings of the 44th Conference of the International Group for the Psychology of Mathematics Education , 2021, vol. 3, pp. 9–15.
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2021 | Conference Paper | LibreCat-ID: 22894 |
C. Offen and S. Ober-Blöbaum, “Bifurcation preserving discretisations of optimal control problems,” vol. 54(19). pp. 334–339, 2021, doi: https://doi.org/10.1016/j.ifacol.2021.11.099.
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| arXiv
2021 | Conference Paper | LibreCat-ID: 21572
S. Ridderbusch, C. Offen, S. Ober-Blöbaum, and P. Goulart, “Learning ODE Models with Qualitative Structure Using Gaussian Processes ,” in 2021 60th IEEE Conference on Decision and Control (CDC), Austin, TX, USA, 2021, p. 2896, doi: 10.1109/CDC45484.2021.9683426.
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| DOI
| arXiv
2021 | Conference Paper | LibreCat-ID: 29868
F. Jiménez and S. Ober-Blöbaum, “Fractional Damping Through Restricted Calculus of Variations,” in Nichtlineare Sci 31, 2021, vol. 46.
LibreCat
2021 | Journal Article | LibreCat-ID: 34827
J. Bruns, E. Unterhauser, and H. Gasteiger, “Geometrisches Begriffsverständnis in der Grundschule am Beispiel der Begriffe Viereck, Rechteck und Quadrat,” Journal für Mathematik-Didaktik, vol. 42, no. 2, pp. 581–623, 2021, doi: 10.1007/s13138-021-00185-4.
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| DOI
2021 | Journal Article | LibreCat-ID: 45382
S. Prediger and J. Dröse, “Fehlerbearbeitung bei mathematischen Textaufgaben – Sprachliche und strategische Fehlerursachen und ihre Bearbeitung,” Lernen und Lernstörungen, 10(2), 2021, doi: doi.org/10.1024/2235-0977/a000330.
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| DOI
2021 | Journal Article | LibreCat-ID: 31263
C. Guillarmou, J. Hilgert, and T. Weich, “High frequency limits for invariant Ruelle densities,” Annales Henri Lebesgue, vol. 4, pp. 81–119, 2021, doi: 10.5802/ahl.67.
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| DOI
| arXiv
2021 | Journal Article | LibreCat-ID: 36271
D. Brennecken, J. Hilgert, and L. Ciardo, “Algebraically Independent Generators for the Algebra of Invariant Differential Operators on SLn(R)/SOn(R),” Journal of Lie Theory, vol. 31, no. 2, pp. 459--468, 2021, doi: 10.48550/arXiv.2008.07479.
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| DOI
2021 | Book (Editor) | LibreCat-ID: 51493
J. Hilgert and I. Hilgert, Eds., Mathematik - Ein Reiseführer 2. Auflage. Springer Spektrum, 2021.
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2021 | Preprint | LibreCat-ID: 51503 |
J. Hilgert, T. Weich, and L. Wolf, “Higher-rank quantum-classical correspondence.” 2021.
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2021 | Book Review | LibreCat-ID: 51556
J. Hilgert, “Philip Ording: 99 Variations on a Proof. Princeton University Press 2019,” Mathematische Semesterberichte, vol. 68. pp. 171–173, 2021, doi: 10.1007/s00591-021-00295-7.
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| DOI
2021 | Book Review | LibreCat-ID: 51555
J. Hilgert, “Georg Glaeser (Hrsg.): 77-mal Mathematik für zwischendurch – Unterhaltsame Kuriositäten und unorthodoxe Anwendungen. Springer Spektrum 2020,” Mathematische Semesterberichte, vol. 68. pp. 175–177, 2021, doi: 10.1007/s00591-021-00296-6.
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| DOI
2021 | Journal Article | LibreCat-ID: 45967
T. Binz and B. Kovács, “A convergent finite element algorithm for mean curvature flow in higher codimension,” arXiv, 2021.
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2021 | Journal Article | LibreCat-ID: 45962
T. Binz and B. Kovács, “A convergent finite element algorithm for generalized mean curvature flows of closed surfaces,” IMA Journal of Numerical Analysis, vol. 42, no. 3, pp. 2545–2588, 2021, doi: 10.1093/imanum/drab043.
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| DOI
2021 | Journal Article | LibreCat-ID: 45957
P. Harder and B. Kovács, “Error estimates for the Cahn–Hilliard equation with dynamic boundary conditions,” IMA Journal of Numerical Analysis, vol. 42, no. 3, pp. 2589–2620, 2021, doi: 10.1093/imanum/drab045.
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| DOI
2021 | Journal Article | LibreCat-ID: 45961
J. Nick, B. Kovács, and C. Lubich, “Correction to: Stable and convergent fully discrete interior–exterior coupling of Maxwell’s equations,” Numerische Mathematik, vol. 147, no. 4, pp. 997–1000, 2021, doi: 10.1007/s00211-021-01196-6.
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| DOI
2021 | Journal Article | LibreCat-ID: 45959
B. Kovács, B. Li, and C. Lubich, “A convergent evolving finite element algorithm for Willmore flow of closed surfaces,” Numerische Mathematik, vol. 149, no. 3, pp. 595–643, 2021, doi: 10.1007/s00211-021-01238-z.
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