48 Publications
2024 | Misc | LibreCat-ID: 54837 | 
L. Claes, J. Lankeit, and M. Winkler, A model for heat generation by acoustic waves in piezoelectric materials: Global large-data solutions. Cornell University, 2024.
LibreCat
| Download (ext.)
| arXiv
2024 | Journal Article | LibreCat-ID: 57820
V. Nikolić and M. Winkler, “L∞ blow-up in the Jordan-Moore-Gibson-Thompson equation,” Nonlinear Analysis, vol. 247, Art. no. 113600, 2024, doi: 10.1016/j.na.2024.113600.
LibreCat
| DOI
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.
LibreCat
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.
LibreCat
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.
LibreCat
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.
LibreCat
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.
LibreCat
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.
LibreCat
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.
LibreCat
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.
LibreCat
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.
LibreCat
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.
LibreCat
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.
LibreCat
| 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.
LibreCat
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.
LibreCat
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.
LibreCat
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.
LibreCat
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.
LibreCat
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.
LibreCat
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.
LibreCat
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.
LibreCat
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.
LibreCat
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.
LibreCat
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.
LibreCat
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.
LibreCat
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.
LibreCat
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.
LibreCat
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.
LibreCat
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.
LibreCat
2020 | Journal Article | LibreCat-ID: 37373
M. Winkler, “Single-point blow-up in the Cauchy problem for the higher-dimensional Keller-Segel system,” Nonlinearity, vol. 33, pp. 5007–5048, 2020.
LibreCat
2020 | Journal Article | LibreCat-ID: 37380
M. Winkler, “Boundedness in a two-dimensional Keller-Segel-Navier-Stokes system involving a rapidly diffusing repulsive signal.,” Zeitschrift für angewandte Mathematik und Physik, vol. 71, Art. no. 10, 2020.
LibreCat
2020 | Journal Article | LibreCat-ID: 37367
M. Winkler, “Can simultaneous density-determined enhacement of diffusion and cross-diffusion foster boundedness in Keller-Segel type systems involving signal-dependent motilities?,” Nonlinearity, vol. 33, pp. 6590–6623, 2020.
LibreCat
2020 | Journal Article | LibreCat-ID: 37364
M. Winkler, “The role of superlinear damping in the construction of solutions to drift-diffusion problems with initial data in $L^1$.,” Advances in Nonlinear Analysis, vol. 9, pp. 526–566, 2020.
LibreCat
2020 | Journal Article | LibreCat-ID: 37375
M. Winkler, “Attractiveness of constant states in logistic-type Keller-Segel systems involving subquadratic growth restrictions.,” Advanced Nonlinear Studies, vol. 20, pp. 795–817, 2020.
LibreCat
2020 | Journal Article | LibreCat-ID: 37355
M. Winkler, “Small-mass solutions in the two-dimensional Keller-Segel system coupled to the Navier-Stokes equations.,” SIAM Journal on Mathematical Analysis, vol. 52, pp. 2041–2080, 2020.
LibreCat
2020 | Journal Article | LibreCat-ID: 37377
M. Winkler, “Can Fluid Interaction Influence the Critical Mass for Taxis-Driven Blow-up in Bounded Planar Domains?,” Acta Applicandae Mathematicae, vol. 169, pp. 577–591, 2020.
LibreCat
2020 | Journal Article | LibreCat-ID: 37357
M. Winkler, “Blow-up profiles and liefe beyond blow-up in the fully parabolic Keller-Segel system.,” Journal d’Analyse Mathématique, vol. 141, pp. 585–624, 2020.
LibreCat
2020 | Journal Article | LibreCat-ID: 37347
N. Rodriguez and M. Winkler, “Relaxation by nonlinear diffusion enhancement in a two-dimensional cross-diffusion model for urban crime propagation.,” Mathematical Models & Methods in Applied Sciences, vol. 30, pp. 2105–2137, 2020.
LibreCat
2020 | Journal Article | LibreCat-ID: 37342
G. Li, Y. Tao, and M. Winkler, “Larg time behavior in a predator-prey system with indirect pursuit-evasion interaction.,” Discrete and Continuous Dynamical Systems --B, vol. 25, pp. 4383–4398, 2020.
LibreCat
2020 | Journal Article | LibreCat-ID: 37354
Y. Tao and M. Winkler, “Global classical solutions to a doubly haptotactic cross-diffusion system modeling oncolytic virotherapy.,” Journal of Differential Equations, vol. 268, pp. 4973–4997, 2020.
LibreCat
2020 | Journal Article | LibreCat-ID: 37351
Y. Tao and M. Winkler, “A critical virus production rate for blow-up suppression in a haptotaxis model for oncolytic virotherapy.,” Nonlinear Analysis, vol. 198, Art. no. 111870, 2020.
LibreCat
2020 | Journal Article | LibreCat-ID: 37349
C. Stinner and M. Winkler, “Refined regularity and stabilization properties in a degenerate haptotaxis system,” Discrete and Continuous Dynamical Systems --A, vol. 40, pp. 4039–4058, 2020.
LibreCat
2020 | Journal Article | LibreCat-ID: 37339
E. Steiner and M. Winkler, “Mathematical Analysis of Two Competing Cancer Cell Migration Mechanisms Driven by Interstitial Fluid Flow,” Journal of Nonlinear Science, vol. 30, pp. 1809–1847, 2020.
LibreCat
48 Publications
2024 | Misc | LibreCat-ID: 54837 |
L. Claes, J. Lankeit, and M. Winkler, A model for heat generation by acoustic waves in piezoelectric materials: Global large-data solutions. Cornell University, 2024.
LibreCat
| Download (ext.)
| arXiv
2024 | Journal Article | LibreCat-ID: 57820
V. Nikolić and M. Winkler, “L∞ blow-up in the Jordan-Moore-Gibson-Thompson equation,” Nonlinear Analysis, vol. 247, Art. no. 113600, 2024, doi: 10.1016/j.na.2024.113600.
LibreCat
| DOI
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.
LibreCat
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.
LibreCat
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.
LibreCat
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.
LibreCat
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.
LibreCat
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.
LibreCat
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.
LibreCat
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.
LibreCat
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.
LibreCat
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.
LibreCat
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.
LibreCat
| 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.
LibreCat
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.
LibreCat
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.
LibreCat
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.
LibreCat
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.
LibreCat
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.
LibreCat
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.
LibreCat
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.
LibreCat
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.
LibreCat
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.
LibreCat
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.
LibreCat
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.
LibreCat
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.
LibreCat
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.
LibreCat
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.
LibreCat
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.
LibreCat
2020 | Journal Article | LibreCat-ID: 37373
M. Winkler, “Single-point blow-up in the Cauchy problem for the higher-dimensional Keller-Segel system,” Nonlinearity, vol. 33, pp. 5007–5048, 2020.
LibreCat
2020 | Journal Article | LibreCat-ID: 37380
M. Winkler, “Boundedness in a two-dimensional Keller-Segel-Navier-Stokes system involving a rapidly diffusing repulsive signal.,” Zeitschrift für angewandte Mathematik und Physik, vol. 71, Art. no. 10, 2020.
LibreCat
2020 | Journal Article | LibreCat-ID: 37367
M. Winkler, “Can simultaneous density-determined enhacement of diffusion and cross-diffusion foster boundedness in Keller-Segel type systems involving signal-dependent motilities?,” Nonlinearity, vol. 33, pp. 6590–6623, 2020.
LibreCat
2020 | Journal Article | LibreCat-ID: 37364
M. Winkler, “The role of superlinear damping in the construction of solutions to drift-diffusion problems with initial data in $L^1$.,” Advances in Nonlinear Analysis, vol. 9, pp. 526–566, 2020.
LibreCat
2020 | Journal Article | LibreCat-ID: 37375
M. Winkler, “Attractiveness of constant states in logistic-type Keller-Segel systems involving subquadratic growth restrictions.,” Advanced Nonlinear Studies, vol. 20, pp. 795–817, 2020.
LibreCat
2020 | Journal Article | LibreCat-ID: 37355
M. Winkler, “Small-mass solutions in the two-dimensional Keller-Segel system coupled to the Navier-Stokes equations.,” SIAM Journal on Mathematical Analysis, vol. 52, pp. 2041–2080, 2020.
LibreCat
2020 | Journal Article | LibreCat-ID: 37377
M. Winkler, “Can Fluid Interaction Influence the Critical Mass for Taxis-Driven Blow-up in Bounded Planar Domains?,” Acta Applicandae Mathematicae, vol. 169, pp. 577–591, 2020.
LibreCat
2020 | Journal Article | LibreCat-ID: 37357
M. Winkler, “Blow-up profiles and liefe beyond blow-up in the fully parabolic Keller-Segel system.,” Journal d’Analyse Mathématique, vol. 141, pp. 585–624, 2020.
LibreCat
2020 | Journal Article | LibreCat-ID: 37347
N. Rodriguez and M. Winkler, “Relaxation by nonlinear diffusion enhancement in a two-dimensional cross-diffusion model for urban crime propagation.,” Mathematical Models & Methods in Applied Sciences, vol. 30, pp. 2105–2137, 2020.
LibreCat
2020 | Journal Article | LibreCat-ID: 37342
G. Li, Y. Tao, and M. Winkler, “Larg time behavior in a predator-prey system with indirect pursuit-evasion interaction.,” Discrete and Continuous Dynamical Systems --B, vol. 25, pp. 4383–4398, 2020.
LibreCat
2020 | Journal Article | LibreCat-ID: 37354
Y. Tao and M. Winkler, “Global classical solutions to a doubly haptotactic cross-diffusion system modeling oncolytic virotherapy.,” Journal of Differential Equations, vol. 268, pp. 4973–4997, 2020.
LibreCat
2020 | Journal Article | LibreCat-ID: 37351
Y. Tao and M. Winkler, “A critical virus production rate for blow-up suppression in a haptotaxis model for oncolytic virotherapy.,” Nonlinear Analysis, vol. 198, Art. no. 111870, 2020.
LibreCat
2020 | Journal Article | LibreCat-ID: 37349
C. Stinner and M. Winkler, “Refined regularity and stabilization properties in a degenerate haptotaxis system,” Discrete and Continuous Dynamical Systems --A, vol. 40, pp. 4039–4058, 2020.
LibreCat
2020 | Journal Article | LibreCat-ID: 37339
E. Steiner and M. Winkler, “Mathematical Analysis of Two Competing Cancer Cell Migration Mechanisms Driven by Interstitial Fluid Flow,” Journal of Nonlinear Science, vol. 30, pp. 1809–1847, 2020.
LibreCat