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401 Publications
2022 | Journal Article | LibreCat-ID: 34817
M. Hanusch, “Regularity of Lie groups,” Communications in Analysis and Geometry, vol. 30, no. 1, pp. 53–152, 2022, doi: 10.4310/cag.2022.v30.n1.a2.
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| DOI
2022 | Working Paper | LibreCat-ID: 34856
M. Hanusch, Analysis 1 und 2 Skript/Buch. https://maximilianhanusch.wixsite.com/my-site/lehre-teaching.
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2022 | Journal Article | LibreCat-ID: 35577
M. Winkler, “Stabilization of arbitrary structures in a doubly degenerate reaction-diffusion system modeling bacterial motion on a nutrient-poor agar.,” Calculus of Variations and Partial Differential Equations, vol. 61, Art. no. 108, 2022.
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2022 | Journal Article | LibreCat-ID: 35599
M. Winkler, “Chemotaxis-Stokes interaction with very weak diffusion enhancement: Blow-up exclusion via detection of absorption-induced entropy structures involving multiplicative couplings.,” Advanced Nonlinear Studies, vol. 22, pp. 88–117, 2022.
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2022 | Journal Article | LibreCat-ID: 35597
M. Winkler, “Small-signal solutions of a two-dimensional doubly degenerate taxis system modeling bacterial motion in a nutrient-poor environments.,” Nonlinear Analysis: Real World Applications, vol. 63, Art. no. 103407, 2022.
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2022 | Journal Article | LibreCat-ID: 35598
M. Winkler, “A unifying approach toward boundedness in Keller-Segel type cross-diffusion systems via conditional $L^\infty$ estimates for taxis gradients.,” Mathematische Nachrichten, vol. 295, pp. 1840–1862, 2022.
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2022 | Journal Article | LibreCat-ID: 35600
M. Winkler, “Oscillatory decay in a degenerate parabolic equation.,” Partial Differential Equations and Applications, vol. 3, Art. no. 47, 2022.
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2022 | Journal Article | LibreCat-ID: 35582
M. Winkler, “A critical blow-up exponent for flux limitation in a Keller-Segel system,” Indiana University Mathematics Journal, vol. 7, pp. 1437–1465, 2022.
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2022 | Journal Article | LibreCat-ID: 35590
M. Winkler, “Unlimited growth in logarithmic Keller-Segel systems,” Journal of Differential Equations, vol. 309, pp. 74–97, 2022.
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2022 | Journal Article | LibreCat-ID: 35528
J. Lankeit and M. Winkler, “Radial solutions to a chemotaxis-consumption model involving prescribed signal concentrations on the boundary,” Nonlinearity, vol. 35, pp. 719–749, 2022.
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2022 | Journal Article | LibreCat-ID: 35568
M. Winkler, “Reaction-driven relaxation in threee-dimensional Keller-Segel-Navier-Stokes interaction.,” Communications in Mathematical Physics, vol. 389, pp. 439–489, 2022.
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2022 | Journal Article | LibreCat-ID: 35574
M. Winkler, “A family of mass-critical Keller-Segel systems.,” Proceedings of the London Mathematical Society, vol. 124, pp. 133–181, 2022.
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2022 | Journal Article | LibreCat-ID: 34676
T. Black and M. Winkler, “Global weak solutions and absorbing sets in a chemotaxis-Navier–Stokes system with prescribed signal concentration on the boundary,” Mathematical Models and Methods in Applied Sciences, vol. 32, no. 01, pp. 137–173, 2022, doi: 10.1142/s021820252250004x.
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| DOI
2022 | Journal Article | LibreCat-ID: 35483
K. Kang, J. Lee, and M. Winkler, “Global weak solutions to a chemotaxis-Navier-Stokes system in $R^3$.,” Discrete and Continuous Dynamical Systems, vol. 42, pp. 5201–5222, 2022.
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2022 | Journal Article | LibreCat-ID: 38039
M. Rösler and M. Voit, “Elementary symmetric polynomials and martingales for Heckman-Opdam processes,” Contemporary Mathematics, no. 780, pp. 243–262, 2022, doi: 10.48550/ARXIV.2108.03228.
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| DOI
2022 | Journal Article | LibreCat-ID: 35479
N. Bellomo, N. Outada, J. Soler, Y. Tao, and M. Winkler, “Chemotaxis and cross-diffusion models in complex environments: Models and analytic problems toward a multiscale vision.,” Mathematical Models & Methods in Applied Sciences, vol. 32, pp. 713–792, 2022.
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2022 | Journal Article | LibreCat-ID: 35530
J. Lankeit and M. Winkler, “Global existence in reaction-diffusion systems with mass control under relaxed assumptions merely referring to cross-absorptiva effects.,” Journal of Evolution Equations, vol. 22, Art. no. 14, 2022.
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2022 | Journal Article | LibreCat-ID: 35481
J. Fuhrmann, J. Lankeit, and M. Winkler, “A double critical mass phenomenon in a no-flux-Dirichlet Keller-Segel system.,” Journal de Mathématiques Pures et Appliquées, vol. 162, pp. 124–151, 2022.
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2022 | Journal Article | LibreCat-ID: 35565
Y. Wang, M. Winkler, and Z. Xiang, “A smallness condition ensuring boundedness in a two-dimensional chemotaxis-Navier-Stokes system involving Dirichlet boundary conditions for the signal.,” Acta Mathematica Sinica (English Series), vol. 38, pp. 985–1001, 2022.
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2022 | Journal Article | LibreCat-ID: 35560
Y. Wang, M. Winkler, and Z. Xiang, “Global mass-preserving solutions to a chemotaxis-fluid model involving Dirichlet boundary conditions for the signal.,” Analysis and Applications, vol. 20, pp. 141–170, 2022.
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2022 | Journal Article | LibreCat-ID: 40053
P. Graczyk, T. Luks, and P. Sawyer, “Potential kernels for radial Dunkl Laplacians,” Canadian Journal of Mathematics, vol. 74, no. 4, pp. 1005–1033, 2022, doi: 10.4153/s0008414x21000195.
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| DOI
2022 | Journal Article | LibreCat-ID: 35556
Y. Tao and M. Winkler, “Asymptotic stability of spatial homogeneity in a haptotaxis model for oncolytic virotherapy.,” Proceedings of the Royal Society of Edinburgh Section A: Mathematics, vol. 152, pp. 81–101, 2022.
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2022 | Journal Article | LibreCat-ID: 35548
Y. Tao and M. Winkler, “Existence theory and qualitative analysis for a fully cross-diffusive predator-prey system,” SIAM Journal on Mathematical Analysis, vol. 54, pp. 4806–4864, 2022.
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2022 | Journal Article | LibreCat-ID: 35532
G. Li and M. Winkler, “Nonnegative solutions to a doubly degenerate nutrient taxis system ,” Communications on Pure and Applied Analysis, vol. 21, pp. 687–784, 2022.
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2022 | Journal Article | LibreCat-ID: 34677
T. Black and C. Wu, “Prescribed signal concentration on the boundary: eventual smoothness in a chemotaxis-Navier–Stokes system with logistic proliferation,” Calculus of Variations and Partial Differential Equations, vol. 61, no. 3, Art. no. 96, 2022, doi: 10.1007/s00526-022-02201-y.
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| DOI
2022 | Journal Article | LibreCat-ID: 31057
S. Barkhofen, P. Schütte, and T. Weich, “Semiclassical formulae For Wigner distributions,” Journal of Physics A: Mathematical and Theoretical, vol. 55, no. 24, Art. no. 244007, 2022, doi: 10.1088/1751-8121/ac6d2b.
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| DOI
| arXiv
2022 | Journal Article | LibreCat-ID: 35322
K.-U. Bux, J. Hilgert, and T. Weich, “Poisson transforms for trees of bounded degree,” Journal of Spectral Theory, vol. 12, no. 2, pp. 659–681, 2022, doi: 10.4171/jst/414.
LibreCat
| DOI
2022 | Journal Article | LibreCat-ID: 51385
J. Hilgert, T. Weich, and K.-U. Bux, “Poisson transforms for trees of bounded degree,” J. of Spectral Theory, vol. 12, pp. 659–681, 2022.
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2022 | Book Review | LibreCat-ID: 51554
J. Hilgert, “Ethan D. Bolker und Maura B. Mast: Common Sense Mathematics, Second Edition. AMS/MAA Press 2021,” Mathematische Semesterberichte, vol. 69. pp. 151–153, 2022, doi: 10.1007/s00591-021-00314-7.
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| DOI
2021 | Journal Article | LibreCat-ID: 32016
B. Delarue and P. Ramacher, “Asymptotic expansion of generalized Witten integrals for Hamiltonian circle actions,” Journal of Symplectic Geometry, vol. 19, no. 6, pp. 1281–1337, 2021, doi: 10.4310/JSG.2021.v19.n6.a1.
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| DOI
2021 | Journal Article | LibreCat-ID: 34786
H. Glöckner and G. A. Willis, “Decompositions of locally compact contraction groups, series and extensions,” Journal of Algebra, vol. 570, pp. 164–214, 2021, doi: https://doi.org/10.1016/j.jalgebra.2020.11.007.
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| DOI
2021 | Journal Article | LibreCat-ID: 34790
H. Glöckner and G. A. Willis, “Locally pro-p contraction groups are nilpotent,” J. Reine Angew. Math., vol. 781, pp. 85–103, 2021, doi: 10.1515/crelle-2021-0050.
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| DOI
2021 | Journal Article | LibreCat-ID: 34795
H. Glöckner, “Direct limits of regular Lie groups,” Mathematische Nachrichten, vol. 294, no. 1, pp. 74–81, 2021, doi: 10.1002/mana.201900073.
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| DOI
2021 | Journal Article | LibreCat-ID: 31261
B. Küster and T. Weich, “Quantum-Classical Correspondence on Associated Vector Bundles Over Locally Symmetric Spaces,” International Mathematics Research Notices, vol. 2021, no. 11, pp. 8225–8296, 2021, doi: 10.1093/imrn/rnz068.
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| DOI
| arXiv
2021 | Preprint | LibreCat-ID: 32099 | 
T. Weich and J. Budde, “Wave Front Sets of Nilpotent Lie Group Representations,” arXiv:2103.02968v1. 2021.
LibreCat
| Files available
2021 | Journal Article | LibreCat-ID: 34818
M. Hanusch, “Symmetries of analytic curves,” Differential Geometry and its Applications, vol. 74, Art. no. 101687, 2021, doi: 10.1016/j.difgeo.2020.101687.
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| DOI
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.
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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.
LibreCat
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.
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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.
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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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