Please note that LibreCat no longer supports Internet Explorer versions 8 or 9 (or earlier).
We recommend upgrading to the latest Internet Explorer, Google Chrome, or Firefox.
401 Publications
2022 | Journal Article | LibreCat-ID: 34817
Hanusch, Maximilian. “Regularity of Lie Groups.” Communications in Analysis and Geometry 30, no. 1 (2022): 53–152. https://doi.org/10.4310/cag.2022.v30.n1.a2.
LibreCat
| DOI
2022 | Working Paper | LibreCat-ID: 34856
Hanusch, Maximilian. Analysis 1 und 2 Skript/Buch. https://maximilianhanusch.wixsite.com/my-site/lehre-teaching, n.d.
LibreCat
2022 | Journal Article | LibreCat-ID: 35577
Winkler, Michael. “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 61 (2022).
LibreCat
2022 | Journal Article | LibreCat-ID: 35599
Winkler, Michael. “Chemotaxis-Stokes Interaction with Very Weak Diffusion Enhancement: Blow-up Exclusion via Detection of Absorption-Induced Entropy Structures Involving Multiplicative Couplings.” Advanced Nonlinear Studies 22 (2022): 88–117.
LibreCat
2022 | Journal Article | LibreCat-ID: 35597
Winkler, Michael. “Small-Signal Solutions of a Two-Dimensional Doubly Degenerate Taxis System Modeling Bacterial Motion in a Nutrient-Poor Environments.” Nonlinear Analysis: Real World Applications 63 (2022).
LibreCat
2022 | Journal Article | LibreCat-ID: 35598
Winkler, Michael. “A Unifying Approach toward Boundedness in Keller-Segel Type Cross-Diffusion Systems via Conditional $L^\infty$ Estimates for Taxis Gradients.” Mathematische Nachrichten 295 (2022): 1840–62.
LibreCat
2022 | Journal Article | LibreCat-ID: 35600
Winkler, Michael. “Oscillatory Decay in a Degenerate Parabolic Equation.” Partial Differential Equations and Applications 3 (2022).
LibreCat
2022 | Journal Article | LibreCat-ID: 35582
Winkler, Michael. “A Critical Blow-up Exponent for Flux Limitation in a Keller-Segel System.” Indiana University Mathematics Journal 7 (2022): 1437–65.
LibreCat
2022 | Journal Article | LibreCat-ID: 35590
Winkler, Michael. “Unlimited Growth in Logarithmic Keller-Segel Systems.” Journal of Differential Equations 309 (2022): 74–97.
LibreCat
2022 | Journal Article | LibreCat-ID: 35528
Lankeit, Johannes, and Michael Winkler. “Radial Solutions to a Chemotaxis-Consumption Model Involving Prescribed Signal Concentrations on the Boundary.” Nonlinearity 35 (2022): 719–49.
LibreCat
2022 | Journal Article | LibreCat-ID: 35568
Winkler, Michael. “Reaction-Driven Relaxation in Threee-Dimensional Keller-Segel-Navier-Stokes Interaction.” Communications in Mathematical Physics 389 (2022): 439–89.
LibreCat
2022 | Journal Article | LibreCat-ID: 35574
Winkler, Michael. “A Family of Mass-Critical Keller-Segel Systems.” Proceedings of the London Mathematical Society 124 (2022): 133–81.
LibreCat
2022 | Journal Article | LibreCat-ID: 34676
Black, Tobias, and Michael 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 32, no. 01 (2022): 137–73. https://doi.org/10.1142/s021820252250004x.
LibreCat
| DOI
2022 | Journal Article | LibreCat-ID: 35483
Kang, Kyungkeun, Jihoon Lee, and Michael Winkler. “Global Weak Solutions to a Chemotaxis-Navier-Stokes System in $R^3$.” Discrete and Continuous Dynamical Systems 42 (2022): 5201–22.
LibreCat
2022 | Journal Article | LibreCat-ID: 38039
Rösler, Margit, and Michael Voit. “Elementary Symmetric Polynomials and Martingales for Heckman-Opdam Processes.” Contemporary Mathematics, no. 780 (2022): 243–62. https://doi.org/10.48550/ARXIV.2108.03228.
LibreCat
| DOI
2022 | Journal Article | LibreCat-ID: 35479
Bellomo, Nicolas, Nisrine Outada, Juan Soler, Youshan Tao, and Michael Winkler. “Chemotaxis and Cross-Diffusion Models in Complex Environments: Models and Analytic Problems toward a Multiscale Vision.” Mathematical Models & Methods in Applied Sciences 32 (2022): 713–92.
LibreCat
2022 | Journal Article | LibreCat-ID: 35530
Lankeit, Johannes, and Michael Winkler. “Global Existence in Reaction-Diffusion Systems with Mass Control under Relaxed Assumptions Merely Referring to Cross-Absorptiva Effects.” Journal of Evolution Equations 22 (2022).
LibreCat
2022 | Journal Article | LibreCat-ID: 35481
Fuhrmann, Jan, Johannes Lankeit, and Michael Winkler. “A Double Critical Mass Phenomenon in a No-Flux-Dirichlet Keller-Segel System.” Journal de Mathématiques Pures et Appliquées 162 (2022): 124–51.
LibreCat
2022 | Journal Article | LibreCat-ID: 35565
Wang, Yulan, Michael Winkler, and Zhaoyin 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) 38 (2022): 985–1001.
LibreCat
2022 | Journal Article | LibreCat-ID: 35560
Wang, Yulan, Michael Winkler, and Zhaoyin Xiang. “Global Mass-Preserving Solutions to a Chemotaxis-Fluid Model Involving Dirichlet Boundary Conditions for the Signal.” Analysis and Applications 20 (2022): 141–70.
LibreCat
2022 | Journal Article | LibreCat-ID: 40053
Graczyk, P., Tomasz Luks, and P. Sawyer. “Potential Kernels for Radial Dunkl Laplacians.” Canadian Journal of Mathematics 74, no. 4 (2022): 1005–33. https://doi.org/10.4153/s0008414x21000195.
LibreCat
| DOI
2022 | Journal Article | LibreCat-ID: 35556
Tao, Youshan, and Michael Winkler. “Asymptotic Stability of Spatial Homogeneity in a Haptotaxis Model for Oncolytic Virotherapy.” Proceedings of the Royal Society of Edinburgh Section A: Mathematics 152 (2022): 81–101.
LibreCat
2022 | Journal Article | LibreCat-ID: 35548
Tao, Youshan, and Michael Winkler. “Existence Theory and Qualitative Analysis for a Fully Cross-Diffusive Predator-Prey System.” SIAM Journal on Mathematical Analysis 54 (2022): 4806–64.
LibreCat
2022 | Journal Article | LibreCat-ID: 35532
Li, Genglin, and Michael Winkler. “Nonnegative Solutions to a Doubly Degenerate Nutrient Taxis System .” Communications on Pure and Applied Analysis 21 (2022): 687–784.
LibreCat
2022 | Journal Article | LibreCat-ID: 34677
Black, Tobias, and Chunyan 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 61, no. 3 (2022). https://doi.org/10.1007/s00526-022-02201-y.
LibreCat
| DOI
2022 | Journal Article | LibreCat-ID: 31057
Barkhofen, Sonja, Philipp Schütte, and Tobias Weich. “Semiclassical Formulae For Wigner Distributions.” Journal of Physics A: Mathematical and Theoretical 55, no. 24 (2022). https://doi.org/10.1088/1751-8121/ac6d2b.
LibreCat
| DOI
| arXiv
2022 | Journal Article | LibreCat-ID: 35322
Bux, Kai-Uwe, Joachim Hilgert, and Tobias Weich. “Poisson Transforms for Trees of Bounded Degree.” Journal of Spectral Theory 12, no. 2 (2022): 659–81. https://doi.org/10.4171/jst/414.
LibreCat
| DOI
2022 | Journal Article | LibreCat-ID: 51385
Hilgert, Joachim, Tobias Weich, and K.-U. Bux. “Poisson Transforms for Trees of Bounded Degree.” J. of Spectral Theory 12 (2022): 659–81.
LibreCat
2022 | Book Review | LibreCat-ID: 51554
Hilgert, Joachim. “Ethan D. Bolker Und Maura B. Mast: Common Sense Mathematics, Second Edition. AMS/MAA Press 2021.” Mathematische Semesterberichte, 2022. https://doi.org/10.1007/s00591-021-00314-7.
LibreCat
| DOI
2021 | Journal Article | LibreCat-ID: 32016
Delarue, Benjamin, and Pablo Ramacher. “Asymptotic Expansion of Generalized Witten Integrals for Hamiltonian Circle Actions.” Journal of Symplectic Geometry 19, no. 6 (2021): 1281–1337. https://doi.org/10.4310/JSG.2021.v19.n6.a1.
LibreCat
| DOI
2021 | Journal Article | LibreCat-ID: 34786
Glöckner, Helge, and George A. Willis. “Decompositions of Locally Compact Contraction Groups, Series and Extensions.” Journal of Algebra 570 (2021): 164–214. https://doi.org/10.1016/j.jalgebra.2020.11.007.
LibreCat
| DOI
2021 | Journal Article | LibreCat-ID: 34790
Glöckner, Helge, and George A. Willis. “Locally Pro-p Contraction Groups Are Nilpotent.” J. Reine Angew. Math. 781 (2021): 85–103. https://doi.org/10.1515/crelle-2021-0050.
LibreCat
| DOI
2021 | Journal Article | LibreCat-ID: 34795
Glöckner, Helge. “Direct Limits of Regular Lie Groups.” Mathematische Nachrichten 294, no. 1 (2021): 74–81. https://doi.org/10.1002/mana.201900073.
LibreCat
| DOI
2021 | Journal Article | LibreCat-ID: 31261
Küster, Benjamin, and Tobias Weich. “Quantum-Classical Correspondence on Associated Vector Bundles Over Locally Symmetric Spaces.” International Mathematics Research Notices 2021, no. 11 (2021): 8225–96. https://doi.org/10.1093/imrn/rnz068.
LibreCat
| DOI
| arXiv
2021 | Preprint | LibreCat-ID: 32099 | 
Weich, Tobias, and Julia Budde. “Wave Front Sets of Nilpotent Lie Group Representations.” ArXiv:2103.02968v1, 2021.
LibreCat
| Files available
2021 | Journal Article | LibreCat-ID: 34818
Hanusch, Maximilian. “Symmetries of Analytic Curves.” Differential Geometry and Its Applications 74 (2021). https://doi.org/10.1016/j.difgeo.2020.101687.
LibreCat
| DOI
2021 | Journal Article | LibreCat-ID: 35616
Winkler, Michael. “Global Weak Solutions in a Three-Dimensional Keller-Segel-Navier-Stokes System with Gradient-Dependent Flux Limitation.” Nonlinear Analysis: Real World Applications 59 (2021).
LibreCat
2021 | Journal Article | LibreCat-ID: 35615
Winkler, Michael. “Suppressing Blow-up by Gradient-Dependent Flux Limitation in a Planar Keller-Segel-Navier-Stokes System.” Zeitschrift Für Angewandte Mathematik Und Physik 72 (2021).
LibreCat
2021 | Journal Article | LibreCat-ID: 35614
Winkler, Michael. “Can Rotational Fluxes Impede the Tendency toward Spatial Homogeneity in Nutrient Taxis (-Stokes) Systems?” International Mathematics Research Notices 2021 (2021): 8106–52.
LibreCat
2021 | Journal Article | LibreCat-ID: 35617
Winkler, Michael. “Boundedness in a Three-Dimensional Keller-Segel-Stokes System with Subcritical Sensitivity.” Applied Mathematics Letters 112 (2021): 106785.
LibreCat
2021 | Journal Article | LibreCat-ID: 35613
Winkler, Michael. “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 374 (2021): 219–68.
LibreCat
2021 | Journal Article | LibreCat-ID: 37659
Rösler, Margit, and Michael Voit. “Positive Intertwiners for Bessel Functions of Type B.” Proceedings of the American Mathematical Society 149, no. 3 (2021): 1151–63. https://doi.org/10.1090/proc/15312.
LibreCat
| DOI
2021 | Journal Article | LibreCat-ID: 35603
Tao, Youshan, and Michael Winkler. “A Fully Cross-Diffusive Two-Component Evolution System: Existence and Qualitative Analysis via Entropy-Consistent Thin-Film-Type Approximation.” Journal of Functional Analysis 281 (2021).
LibreCat
2021 | Journal Article | LibreCat-ID: 35606
Tao, Youshan, and Michael Winkler. “The Dampening Role of Large Repulsive Convection in a Chemotaxis System Modeling Tumor Angiogenesis.” Nonlinear Analysis, Theory, Methods and Applications 208 (2021).
LibreCat
2021 | Journal Article | LibreCat-ID: 35612
Wang, Yulan, Michael Winkler, and Zhaoyin Xiang. “Immediate Regularization of Measure-Type Population Densities in a Two-Dimensional Chemotaxis System with Signal Consumption.” Science China Mathematics 64 (2021): 725–46.
LibreCat
2021 | Journal Article | LibreCat-ID: 35601
Ding, Mengyao, and Michael Winkler. “Small-Density Solutiions in Keller-Segel Systems Involving Rapidly Decaying Diffusivities.” Nonlinear Differential Equatiions and Applicatiions 28 (2021).
LibreCat
2021 | Journal Article | LibreCat-ID: 35605
Tao, Youshan, and Michael Winkler. “Global Smooth Solutions in a Two-Dimensional Cross-Diffusion System Modeling Propagation of Urban Crime.” Communications in Mathematical Sciences 19 (2021): 829–49.
LibreCat
2021 | Journal Article | LibreCat-ID: 35604
Tao, Youshan, and Michael Winkler. “Taxis-Driven Formation of Singular Hotspots in a May-Nowak Type Model for Virus Infection.” SIAM Journal on Mathematical Analysis 53 (2021): 1411–33.
LibreCat