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401 Publications
2021 | Journal Article | LibreCat-ID: 35610
Wang, Yulan, Michael Winkler, and Zhaoyin 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 46 (2021): 1058–91.
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2021 | Journal Article | LibreCat-ID: 35611
Wang, Yulan, Michael Winkler, and Zhaoyin Xiang. “Global Solvability in a Threee-Dimensional Keller-Segel.Stokes System Involving Arbitrary Superlinear Logistic Degradation.” Advances in Nonlinear Analysis 10 (2021): 707–31.
LibreCat
2021 | Journal Article | LibreCat-ID: 35608
Tao, Youshan, and Michael Winkler. “Critical Mass for Infinite-Time Blow-up in a Haptotaxis System with Nonlinear Zero-Order Interaction.” Discrete and Continuous Dynamical Systems 41, no. A (2021): 439–54.
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2021 | Journal Article | LibreCat-ID: 34673
Black, Tobias, Mario Fuest, and Johannes Lankeit. “Relaxed Parameter Conditions for Chemotactic Collapse in Logistic-Type Parabolic–Elliptic Keller–Segel Systems.” Zeitschrift Für Angewandte Mathematik Und Physik 72, no. 3 (2021). https://doi.org/10.1007/s00033-021-01524-8.
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| DOI
2021 | Journal Article | LibreCat-ID: 34675
Black, Tobias, and Chunyan Wu. “Prescribed Signal Concentration on the Boundary: Weak Solvability in a Chemotaxis-Stokes System with Proliferation.” Zeitschrift Für Angewandte Mathematik Und Physik 72, no. 4 (2021). https://doi.org/10.1007/s00033-021-01565-z.
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| DOI
2021 | Journal Article | LibreCat-ID: 31263
Guillarmou, Colin, Joachim Hilgert, and Tobias Weich. “High Frequency Limits for Invariant Ruelle Densities.” Annales Henri Lebesgue 4 (2021): 81–119. https://doi.org/10.5802/ahl.67.
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| arXiv
2021 | Journal Article | LibreCat-ID: 36271
Brennecken, Dominik, Joachim Hilgert, and Lorenzo Ciardo. “Algebraically Independent Generators for the Algebra of Invariant Differential Operators on SLn(R)/SOn(R).” Journal of Lie Theory 31, no. 2 (2021): 459--468. https://doi.org/10.48550/arXiv.2008.07479.
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| DOI
2021 | Book (Editor) | LibreCat-ID: 51493
Hilgert, Joachim, and I. Hilgert, eds. Mathematik - Ein Reiseführer 2. Auflage. Springer Spektrum, 2021.
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2021 | Preprint | LibreCat-ID: 51503 | 
Hilgert, Joachim, Tobias Weich, and L. Wolf. “Higher-Rank Quantum-Classical Correspondence,” 2021.
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2021 | Book Review | LibreCat-ID: 51556
Hilgert, Joachim. “Philip Ording: 99 Variations on a Proof. Princeton University Press 2019.” Mathematische Semesterberichte, 2021. https://doi.org/10.1007/s00591-021-00295-7.
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| DOI
2021 | Book Review | LibreCat-ID: 51555
Hilgert, Joachim. “Georg Glaeser (Hrsg.): 77-mal Mathematik für zwischendurch – Unterhaltsame Kuriositäten und unorthodoxe Anwendungen. Springer Spektrum 2020.” Mathematische Semesterberichte, 2021. https://doi.org/10.1007/s00591-021-00296-6.
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2021 | Journal Article | LibreCat-ID: 32006
Guillarmou, Colin, and Benjamin Küster. “Spectral Theory of the Frame Flow on Hyperbolic 3-Manifolds.” Annales Henri Poincaré 22, no. 11 (2021): 3565–3617. https://doi.org/10.1007/s00023-021-01068-7.
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2021 | Journal Article | LibreCat-ID: 35702
Schürmann, Mirko, Anja Panse, Zain Shaikh, Rolf Biehler, Niclas Schaper, Michael Liebendörfer, and Joachim Hilgert. “Consultation Phases in Mathematics Learning and Support Centres.” International Journal of Research in Undergraduate Mathematics Education 8, no. 1 (2021): 94–120. https://doi.org/10.1007/s40753-021-00154-9.
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| DOI
2020 | Journal Article | LibreCat-ID: 34789
Amiri, Habib, Helge Glöckner, and Alexander Schmeding. “Lie Groupoids of Mappings Taking Values in a Lie Groupoid.” Archivum Mathematicum 56, no. 5 (2020): 307–356. https://doi.org/10.5817/AM2020-5-307.
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2020 | Journal Article | LibreCat-ID: 34787
Glöckner, Helge, and Niku Masbough. “Products of Regular Locally Compact Spaces Are K_R-Spaces.” Topology Proceedings 55 (2020): 35–38.
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2020 | Journal Article | LibreCat-ID: 31264
Küster, Benjamin, and Tobias Weich. “Pollicott-Ruelle Resonant States and Betti Numbers.” Communications in Mathematical Physics 378, no. 2 (2020): 917–41. https://doi.org/10.1007/s00220-020-03793-2.
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| DOI
2020 | Journal Article | LibreCat-ID: 34828
Hanusch, Maximilian. “The Regularity Problem for Lie Groups with Asymptotic Estimate Lie Algebras.” Indagationes Mathematicae 31, no. 1 (2020): 152–76. https://doi.org/10.1016/j.indag.2019.12.001.
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| DOI
2020 | Journal Article | LibreCat-ID: 34830
Hanusch, Maximilian. “The Strong Trotter Property for Locally μ-Convex Lie Groups.” Journal of Lie Theory 30, no. 1 (2020): 025–032.
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2020 | Journal Article | LibreCat-ID: 37373
Winkler, Michael. “Single-Point Blow-up in the Cauchy Problem for the Higher-Dimensional Keller-Segel System.” Nonlinearity 33 (2020): 5007–48.
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2020 | Journal Article | LibreCat-ID: 37380
Winkler, Michael. “Boundedness in a Two-Dimensional Keller-Segel-Navier-Stokes System Involving a Rapidly Diffusing Repulsive Signal.” Zeitschrift Für Angewandte Mathematik Und Physik 71 (2020).
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2020 | Journal Article | LibreCat-ID: 37367
Winkler, Michael. “Can Simultaneous Density-Determined Enhacement of Diffusion and Cross-Diffusion Foster Boundedness in Keller-Segel Type Systems Involving Signal-Dependent Motilities?” Nonlinearity 33 (2020): 6590–6623.
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2020 | Journal Article | LibreCat-ID: 37364
Winkler, Michael. “The Role of Superlinear Damping in the Construction of Solutions to Drift-Diffusion Problems with Initial Data in $L^1$.” Advances in Nonlinear Analysis 9 (2020): 526–66.
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2020 | Journal Article | LibreCat-ID: 37375
Winkler, Michael. “Attractiveness of Constant States in Logistic-Type Keller-Segel Systems Involving Subquadratic Growth Restrictions.” Advanced Nonlinear Studies 20 (2020): 795–817.
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2020 | Journal Article | LibreCat-ID: 37355
Winkler, Michael. “Small-Mass Solutions in the Two-Dimensional Keller-Segel System Coupled to the Navier-Stokes Equations.” SIAM Journal on Mathematical Analysis 52 (2020): 2041–80.
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2020 | Journal Article | LibreCat-ID: 37377
Winkler, Michael. “Can Fluid Interaction Influence the Critical Mass for Taxis-Driven Blow-up in Bounded Planar Domains?” Acta Applicandae Mathematicae 169 (2020): 577–91.
LibreCat
2020 | Journal Article | LibreCat-ID: 37357
Winkler, Michael. “Blow-up Profiles and Liefe beyond Blow-up in the Fully Parabolic Keller-Segel System.” Journal d’Analyse Mathématique 141 (2020): 585–624.
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2020 | Journal Article | LibreCat-ID: 37347
Rodriguez, Nancy, and Michael Winkler. “Relaxation by Nonlinear Diffusion Enhancement in a Two-Dimensional Cross-Diffusion Model for Urban Crime Propagation.” Mathematical Models & Methods in Applied Sciences 30 (2020): 2105–37.
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2020 | Journal Article | LibreCat-ID: 37342
Li, Genglin, Youshan Tao, and Michael Winkler. “Larg Time Behavior in a Predator-Prey System with Indirect Pursuit-Evasion Interaction.” Discrete and Continuous Dynamical Systems --B 25 (2020): 4383–98.
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2020 | Journal Article | LibreCat-ID: 37354
Tao, Youshan, and Michael Winkler. “Global Classical Solutions to a Doubly Haptotactic Cross-Diffusion System Modeling Oncolytic Virotherapy.” Journal of Differential Equations 268 (2020): 4973–97.
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2020 | Journal Article | LibreCat-ID: 37351
Tao, Youshan, and Michael Winkler. “A Critical Virus Production Rate for Blow-up Suppression in a Haptotaxis Model for Oncolytic Virotherapy.” Nonlinear Analysis 198 (2020).
LibreCat
2020 | Journal Article | LibreCat-ID: 37349
Stinner, Christian, and Michael Winkler. “Refined Regularity and Stabilization Properties in a Degenerate Haptotaxis System.” Discrete and Continuous Dynamical Systems --A 40 (2020): 4039–58.
LibreCat
2020 | Journal Article | LibreCat-ID: 37660
Rösler, Margit. “Riesz Distributions and Laplace Transform in the Dunkl Setting of Type A.” Journal of Functional Analysis 278, no. 12 (2020). https://doi.org/10.1016/j.jfa.2020.108506.
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| DOI
2020 | Journal Article | LibreCat-ID: 40051
Luks, Tomasz, and Yimin Xiao. “Multiple Points of Operator Semistable Lévy Processes.” Journal of Theoretical Probability 33, no. 1 (2020): 153–79. https://doi.org/10.1007/s10959-018-0859-4.
LibreCat
| DOI
2020 | Journal Article | LibreCat-ID: 37339
Steiner, Evi, and Michael Winkler. “Mathematical Analysis of Two Competing Cancer Cell Migration Mechanisms Driven by Interstitial Fluid Flow.” Journal of Nonlinear Science 30 (2020): 1809–47.
LibreCat
2020 | Journal Article | LibreCat-ID: 34670
Black, Tobias. “Global Generalized Solutions to a Forager–Exploiter Model with Superlinear Degradation and Their Eventual Regularity Properties.” Mathematical Models and Methods in Applied Sciences 30, no. 06 (2020): 1075–1117. https://doi.org/10.1142/s0218202520400072.
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| DOI
2020 | Journal Article | LibreCat-ID: 51386
Hilgert, Joachim, and H. Barnum. “Spectral Properties of Convex Bodies.” J. of Lie Theory 30 (2020): 315–44.
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2020 | Book (Editor) | LibreCat-ID: 51488
Hilgert, Joachim, ed. Mathematik studieren -- Ein Ratgeber für Erstsemester und solche, die es vielleicht werden wollen. Springer Spektrum, 2020.
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2020 | Preprint | LibreCat-ID: 51520 |
Hilgert, Joachim, D. Brennecken, and L. Ciardo. “Algebraically Independent Generators for the Algebra of Invariant Differential Operators on SLn(ℝ)/SOn(ℝ),” 2020.
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2020 | Book Review | LibreCat-ID: 51559
Hilgert, Joachim. “Titu Andreescu Und Vlad Crisan: Mathematical Induction – A Powerful and Elegant Method of Proof. XYZ Press 2017 Und Florian André Dalwigk: Vollständige Induktion – Beispiele Und Aufgaben Bis Zum Umfallen. Springer Spektrum 2019.” Mathematische Semesterberichte, 2020. https://doi.org/10.1007/s00591-020-00282-4.
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| DOI
2020 | Book Review | LibreCat-ID: 51557
Hilgert, Joachim. “Fabio Toscano: The Secret Formula – How a Mathematical Duel Inflamed Renaissance Italy and Uncovered the Cubic Equation. Princeton University Press 2020.” Mathematische Semesterberichte, 2020. https://doi.org/10.1007/s00591-020-00283-3.
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| DOI
2020 | Book Review | LibreCat-ID: 51561
Hilgert, Joachim. “Robert Bosch: OPT ART – From Mathematical Optimization to Visual Design. Princeton University Press 2019.” Mathematische Semesterberichte, 2020. https://doi.org/10.1007/s00591-020-00272-6.
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| DOI
2020 | Book Review | LibreCat-ID: 51560
Hilgert, Joachim. “David M. Bressoud: Calculus Reordered -- A History of the Big Ideas. Princeton University Press 2019.” Mathematische Semesterberichte, 2020. https://doi.org/10.1007/s00591-020-00280-6.
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| DOI
2020 | Book Review | LibreCat-ID: 51564
Hilgert, Joachim. “Daniel Grieser: Mathematisches Problemlösen und Beweisen – Eine Entdeckungsreise in die Mathematik. 2. Auflage (Springer 2017).” Mathematische Semesterberichte, 2020. https://doi.org/10.1007/s00591-019-00254-3.
LibreCat
| DOI
2020 | Book Review | LibreCat-ID: 51563
Hilgert, Joachim. “Claas Lattmann: Mathematische Modellierung bai Platon zwischen Thales und Euklid (De Gruyter 2019).” Mathematische Semesterberichte, 2020. https://doi.org/10.1007/s00591-019-00254-3.
LibreCat
| DOI
2020 | Journal Article | LibreCat-ID: 53415
Küster, Benjamin, and Tobias Weich. “Pollicott-Ruelle Resonant States and Betti Numbers.” Communications in Mathematical Physics 378, no. 2 (2020): 917–41. https://doi.org/10.1007/s00220-020-03793-2.
LibreCat
| DOI
2019 | Journal Article | LibreCat-ID: 34672
Black, Tobias. “Global Generalized Solutions to a Parabolic-Elliptic Keller-Segel System with Singular Sensitivity.” Discrete & Continuous Dynamical Systems - S 13, no. 2 (2019): 119–37. https://doi.org/10.3934/dcdss.2020007.
LibreCat
| DOI
2019 | Journal Article | LibreCat-ID: 34669
Black, Tobias. “The Stokes Limit in a Three-Dimensional Chemotaxis-Navier–Stokes System.” Journal of Mathematical Fluid Mechanics 22, no. 1 (2019). https://doi.org/10.1007/s00021-019-0464-z.
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| DOI
2019 | Journal Article | LibreCat-ID: 34668
Black, Tobias, Johannes Lankeit, and Masaaki Mizukami. “A Keller‐Segel‐fluid System with Singular Sensitivity: Generalized Solutions.” Mathematical Methods in the Applied Sciences 42, no. 9 (2019): 3002–20. https://doi.org/10.1002/mma.5561.
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| DOI