48 Publications
2024 | Misc | LibreCat-ID: 54837 |

Claes L, Lankeit J, Winkler M. 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
Nikolić V, Winkler M. L∞ blow-up in the Jordan-Moore-Gibson-Thompson equation. Nonlinear Analysis. 2024;247. doi:10.1016/j.na.2024.113600
LibreCat
| DOI
2022 | Journal Article | LibreCat-ID: 35577
Winkler M. 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. 2022;61.
LibreCat
2022 | Journal Article | LibreCat-ID: 35599
Winkler M. Chemotaxis-Stokes interaction with very weak diffusion enhancement: Blow-up exclusion via detection of absorption-induced entropy structures involving multiplicative couplings. Advanced Nonlinear Studies. 2022;22:88-117.
LibreCat
2022 | Journal Article | LibreCat-ID: 35597
Winkler M. Small-signal solutions of a two-dimensional doubly degenerate taxis system modeling bacterial motion in a nutrient-poor environments. Nonlinear Analysis: Real World Applications. 2022;63.
LibreCat
2022 | Journal Article | LibreCat-ID: 35598
Winkler M. A unifying approach toward boundedness in Keller-Segel type cross-diffusion systems via conditional $L^\infty$ estimates for taxis gradients. Mathematische Nachrichten. 2022;295:1840-1862.
LibreCat
2022 | Journal Article | LibreCat-ID: 35600
Winkler M. Oscillatory decay in a degenerate parabolic equation. Partial Differential Equations and Applications. 2022;3.
LibreCat
2022 | Journal Article | LibreCat-ID: 35582
Winkler M. A critical blow-up exponent for flux limitation in a Keller-Segel system. Indiana University Mathematics Journal. 2022;7:1437-1465.
LibreCat
2022 | Journal Article | LibreCat-ID: 35590
Winkler M. Unlimited growth in logarithmic Keller-Segel systems. Journal of Differential Equations. 2022;309:74-97.
LibreCat
2022 | Journal Article | LibreCat-ID: 35528
Lankeit J, Winkler M. Radial solutions to a chemotaxis-consumption model involving prescribed signal concentrations on the boundary. Nonlinearity. 2022;35:719-749.
LibreCat
2022 | Journal Article | LibreCat-ID: 35568
Winkler M. Reaction-driven relaxation in threee-dimensional Keller-Segel-Navier-Stokes interaction. Communications in Mathematical Physics. 2022;389:439-489.
LibreCat
2022 | Journal Article | LibreCat-ID: 35574
Winkler M. A family of mass-critical Keller-Segel systems. Proceedings of the London Mathematical Society. 2022;124:133-181.
LibreCat
2022 | Journal Article | LibreCat-ID: 34676
Black T, Winkler M. 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. 2022;32(01):137-173. doi:10.1142/s021820252250004x
LibreCat
| DOI
2022 | Journal Article | LibreCat-ID: 35483
Kang K, Lee J, Winkler M. Global weak solutions to a chemotaxis-Navier-Stokes system in $R^3$. Discrete and Continuous Dynamical Systems. 2022;42:5201-5222.
LibreCat
2022 | Journal Article | LibreCat-ID: 35481
Fuhrmann J, Lankeit J, Winkler M. A double critical mass phenomenon in a no-flux-Dirichlet Keller-Segel system. Journal de Mathématiques Pures et Appliquées. 2022;162:124-151.
LibreCat
2022 | Journal Article | LibreCat-ID: 35565
Wang Y, Winkler M, Xiang Z. 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). 2022;38:985-1001.
LibreCat
2022 | Journal Article | LibreCat-ID: 35560
Wang Y, Winkler M, Xiang Z. Global mass-preserving solutions to a chemotaxis-fluid model involving Dirichlet boundary conditions for the signal. Analysis and Applications. 2022;20:141-170.
LibreCat
2022 | Journal Article | LibreCat-ID: 35556
Tao Y, Winkler M. Asymptotic stability of spatial homogeneity in a haptotaxis model for oncolytic virotherapy. Proceedings of the Royal Society of Edinburgh Section A: Mathematics. 2022;152:81-101.
LibreCat
2022 | Journal Article | LibreCat-ID: 35548
Tao Y, Winkler M. Existence theory and qualitative analysis for a fully cross-diffusive predator-prey system. SIAM Journal on Mathematical Analysis. 2022;54:4806-4864.
LibreCat
2022 | Journal Article | LibreCat-ID: 35532
Li G, Winkler M. Nonnegative solutions to a doubly degenerate nutrient taxis system . Communications on Pure and Applied Analysis. 2022;21:687-784.
LibreCat
2021 | Journal Article | LibreCat-ID: 35616
Winkler M. Global weak solutions in a three-dimensional Keller-Segel-Navier-Stokes system with gradient-dependent flux limitation. Nonlinear Analysis: Real World Applications. 2021;59.
LibreCat
2021 | Journal Article | LibreCat-ID: 35615
Winkler M. Suppressing blow-up by gradient-dependent flux limitation in a planar Keller-Segel-Navier-Stokes system. Zeitschrift für Angewandte Mathematik und Physik. 2021;72.
LibreCat
2021 | Journal Article | LibreCat-ID: 35614
Winkler M. Can rotational fluxes impede the tendency toward spatial homogeneity in nutrient taxis (-Stokes) systems? International Mathematics Research Notices. 2021;2021:8106-8152.
LibreCat
2021 | Journal Article | LibreCat-ID: 35617
Winkler M. Boundedness in a three-dimensional Keller-Segel-Stokes system with subcritical sensitivity. Applied Mathematics Letters. 2021;112:106785.
LibreCat
2021 | Journal Article | LibreCat-ID: 35613
Winkler M. 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. 2021;374:219-268.
LibreCat
2021 | Journal Article | LibreCat-ID: 35603
Tao Y, Winkler M. A fully cross-diffusive two-component evolution system: Existence and qualitative analysis via entropy-consistent thin-film-type approximation. Journal of Functional Analysis. 2021;281.
LibreCat
2021 | Journal Article | LibreCat-ID: 35606
Tao Y, Winkler M. The dampening role of large repulsive convection in a chemotaxis system modeling tumor angiogenesis. Nonlinear Analysis, Theory, Methods and Applications. 2021;208.
LibreCat
2021 | Journal Article | LibreCat-ID: 35612
Wang Y, Winkler M, Xiang Z. Immediate regularization of measure-type population densities in a two-dimensional chemotaxis system with signal consumption. Science China Mathematics. 2021;64:725-746.
LibreCat
2021 | Journal Article | LibreCat-ID: 35601
Ding M, Winkler M. Small-density solutiions in Keller-Segel systems involving rapidly decaying diffusivities. Nonlinear Differential Equatiions and Applicatiions. 2021;28.
LibreCat
2021 | Journal Article | LibreCat-ID: 35605
Tao Y, Winkler M. Global smooth solutions in a two-dimensional cross-diffusion system modeling propagation of urban crime. Communications in Mathematical Sciences. 2021;19:829-849.
LibreCat
2021 | Journal Article | LibreCat-ID: 35604
Tao Y, Winkler M. Taxis-driven formation of singular hotspots in a May-Nowak type model for virus infection. SIAM Journal on Mathematical Analysis. 2021;53:1411-1433.
LibreCat
2021 | Journal Article | LibreCat-ID: 35610
Wang Y, Winkler M, Xiang Z. Local energy estimates and global solvability in a threee-dimensional chemotaxis-fluid system with prescribed signal on the boundary. Communications in Partial Differential Equations. 2021;46:1058-1091.
LibreCat
2021 | Journal Article | LibreCat-ID: 35611
Wang Y, Winkler M, Xiang Z. Global solvability in a threee-dimensional Keller-Segel.Stokes system involving arbitrary superlinear logistic degradation. Advances in Nonlinear Analysis. 2021;10:707-731.
LibreCat
2021 | Journal Article | LibreCat-ID: 35608
Tao Y, Winkler M. Critical mass for infinite-time blow-up in a haptotaxis system with nonlinear zero-order interaction. Discrete and Continuous Dynamical Systems. 2021;41(A):439-454.
LibreCat
2020 | Journal Article | LibreCat-ID: 37373
Winkler M. Single-point blow-up in the Cauchy problem for the higher-dimensional Keller-Segel system. Nonlinearity. 2020;33:5007-5048.
LibreCat
2020 | Journal Article | LibreCat-ID: 37380
Winkler M. Boundedness in a two-dimensional Keller-Segel-Navier-Stokes system involving a rapidly diffusing repulsive signal. Zeitschrift für angewandte Mathematik und Physik. 2020;71.
LibreCat
2020 | Journal Article | LibreCat-ID: 37367
Winkler M. Can simultaneous density-determined enhacement of diffusion and cross-diffusion foster boundedness in Keller-Segel type systems involving signal-dependent motilities? Nonlinearity. 2020;33:6590-6623.
LibreCat
2020 | Journal Article | LibreCat-ID: 37364
Winkler M. The role of superlinear damping in the construction of solutions to drift-diffusion problems with initial data in $L^1$. Advances in Nonlinear Analysis. 2020;9:526-566.
LibreCat
2020 | Journal Article | LibreCat-ID: 37375
Winkler M. Attractiveness of constant states in logistic-type Keller-Segel systems involving subquadratic growth restrictions. Advanced Nonlinear Studies. 2020;20:795-817.
LibreCat
2020 | Journal Article | LibreCat-ID: 37355
Winkler M. Small-mass solutions in the two-dimensional Keller-Segel system coupled to the Navier-Stokes equations. SIAM Journal on Mathematical Analysis. 2020;52:2041-2080.
LibreCat
2020 | Journal Article | LibreCat-ID: 37377
Winkler M. Can Fluid Interaction Influence the Critical Mass for Taxis-Driven Blow-up in Bounded Planar Domains? Acta Applicandae Mathematicae. 2020;169:577-591.
LibreCat
2020 | Journal Article | LibreCat-ID: 37357
Winkler M. Blow-up profiles and liefe beyond blow-up in the fully parabolic Keller-Segel system. Journal d’Analyse Mathématique. 2020;141:585-624.
LibreCat
2020 | Journal Article | LibreCat-ID: 37347
Rodriguez N, Winkler M. Relaxation by nonlinear diffusion enhancement in a two-dimensional cross-diffusion model for urban crime propagation. Mathematical Models & Methods in Applied Sciences. 2020;30:2105-2137.
LibreCat
2020 | Journal Article | LibreCat-ID: 37342
Li G, Tao Y, Winkler M. Larg time behavior in a predator-prey system with indirect pursuit-evasion interaction. Discrete and Continuous Dynamical Systems --B. 2020;25:4383-4398.
LibreCat
2020 | Journal Article | LibreCat-ID: 37354
Tao Y, Winkler M. Global classical solutions to a doubly haptotactic cross-diffusion system modeling oncolytic virotherapy. Journal of Differential Equations. 2020;268:4973-4997.
LibreCat
2020 | Journal Article | LibreCat-ID: 37351
Tao Y, Winkler M. A critical virus production rate for blow-up suppression in a haptotaxis model for oncolytic virotherapy. Nonlinear Analysis. 2020;198.
LibreCat
2020 | Journal Article | LibreCat-ID: 37349
Stinner C, Winkler M. Refined regularity and stabilization properties in a degenerate haptotaxis system. Discrete and Continuous Dynamical Systems --A. 2020;40:4039-4058.
LibreCat
2020 | Journal Article | LibreCat-ID: 37339
Steiner E, Winkler M. Mathematical Analysis of Two Competing Cancer Cell Migration Mechanisms Driven by Interstitial Fluid Flow. Journal of Nonlinear Science. 2020;30:1809-1847.
LibreCat
48 Publications
2024 | Misc | LibreCat-ID: 54837 |

Claes L, Lankeit J, Winkler M. 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
Nikolić V, Winkler M. L∞ blow-up in the Jordan-Moore-Gibson-Thompson equation. Nonlinear Analysis. 2024;247. doi:10.1016/j.na.2024.113600
LibreCat
| DOI
2022 | Journal Article | LibreCat-ID: 35577
Winkler M. 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. 2022;61.
LibreCat
2022 | Journal Article | LibreCat-ID: 35599
Winkler M. Chemotaxis-Stokes interaction with very weak diffusion enhancement: Blow-up exclusion via detection of absorption-induced entropy structures involving multiplicative couplings. Advanced Nonlinear Studies. 2022;22:88-117.
LibreCat
2022 | Journal Article | LibreCat-ID: 35597
Winkler M. Small-signal solutions of a two-dimensional doubly degenerate taxis system modeling bacterial motion in a nutrient-poor environments. Nonlinear Analysis: Real World Applications. 2022;63.
LibreCat
2022 | Journal Article | LibreCat-ID: 35598
Winkler M. A unifying approach toward boundedness in Keller-Segel type cross-diffusion systems via conditional $L^\infty$ estimates for taxis gradients. Mathematische Nachrichten. 2022;295:1840-1862.
LibreCat
2022 | Journal Article | LibreCat-ID: 35600
Winkler M. Oscillatory decay in a degenerate parabolic equation. Partial Differential Equations and Applications. 2022;3.
LibreCat
2022 | Journal Article | LibreCat-ID: 35582
Winkler M. A critical blow-up exponent for flux limitation in a Keller-Segel system. Indiana University Mathematics Journal. 2022;7:1437-1465.
LibreCat
2022 | Journal Article | LibreCat-ID: 35590
Winkler M. Unlimited growth in logarithmic Keller-Segel systems. Journal of Differential Equations. 2022;309:74-97.
LibreCat
2022 | Journal Article | LibreCat-ID: 35528
Lankeit J, Winkler M. Radial solutions to a chemotaxis-consumption model involving prescribed signal concentrations on the boundary. Nonlinearity. 2022;35:719-749.
LibreCat
2022 | Journal Article | LibreCat-ID: 35568
Winkler M. Reaction-driven relaxation in threee-dimensional Keller-Segel-Navier-Stokes interaction. Communications in Mathematical Physics. 2022;389:439-489.
LibreCat
2022 | Journal Article | LibreCat-ID: 35574
Winkler M. A family of mass-critical Keller-Segel systems. Proceedings of the London Mathematical Society. 2022;124:133-181.
LibreCat
2022 | Journal Article | LibreCat-ID: 34676
Black T, Winkler M. 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. 2022;32(01):137-173. doi:10.1142/s021820252250004x
LibreCat
| DOI
2022 | Journal Article | LibreCat-ID: 35483
Kang K, Lee J, Winkler M. Global weak solutions to a chemotaxis-Navier-Stokes system in $R^3$. Discrete and Continuous Dynamical Systems. 2022;42:5201-5222.
LibreCat
2022 | Journal Article | LibreCat-ID: 35481
Fuhrmann J, Lankeit J, Winkler M. A double critical mass phenomenon in a no-flux-Dirichlet Keller-Segel system. Journal de Mathématiques Pures et Appliquées. 2022;162:124-151.
LibreCat
2022 | Journal Article | LibreCat-ID: 35565
Wang Y, Winkler M, Xiang Z. 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). 2022;38:985-1001.
LibreCat
2022 | Journal Article | LibreCat-ID: 35560
Wang Y, Winkler M, Xiang Z. Global mass-preserving solutions to a chemotaxis-fluid model involving Dirichlet boundary conditions for the signal. Analysis and Applications. 2022;20:141-170.
LibreCat
2022 | Journal Article | LibreCat-ID: 35556
Tao Y, Winkler M. Asymptotic stability of spatial homogeneity in a haptotaxis model for oncolytic virotherapy. Proceedings of the Royal Society of Edinburgh Section A: Mathematics. 2022;152:81-101.
LibreCat
2022 | Journal Article | LibreCat-ID: 35548
Tao Y, Winkler M. Existence theory and qualitative analysis for a fully cross-diffusive predator-prey system. SIAM Journal on Mathematical Analysis. 2022;54:4806-4864.
LibreCat
2022 | Journal Article | LibreCat-ID: 35532
Li G, Winkler M. Nonnegative solutions to a doubly degenerate nutrient taxis system . Communications on Pure and Applied Analysis. 2022;21:687-784.
LibreCat
2021 | Journal Article | LibreCat-ID: 35616
Winkler M. Global weak solutions in a three-dimensional Keller-Segel-Navier-Stokes system with gradient-dependent flux limitation. Nonlinear Analysis: Real World Applications. 2021;59.
LibreCat
2021 | Journal Article | LibreCat-ID: 35615
Winkler M. Suppressing blow-up by gradient-dependent flux limitation in a planar Keller-Segel-Navier-Stokes system. Zeitschrift für Angewandte Mathematik und Physik. 2021;72.
LibreCat
2021 | Journal Article | LibreCat-ID: 35614
Winkler M. Can rotational fluxes impede the tendency toward spatial homogeneity in nutrient taxis (-Stokes) systems? International Mathematics Research Notices. 2021;2021:8106-8152.
LibreCat
2021 | Journal Article | LibreCat-ID: 35617
Winkler M. Boundedness in a three-dimensional Keller-Segel-Stokes system with subcritical sensitivity. Applied Mathematics Letters. 2021;112:106785.
LibreCat
2021 | Journal Article | LibreCat-ID: 35613
Winkler M. 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. 2021;374:219-268.
LibreCat
2021 | Journal Article | LibreCat-ID: 35603
Tao Y, Winkler M. A fully cross-diffusive two-component evolution system: Existence and qualitative analysis via entropy-consistent thin-film-type approximation. Journal of Functional Analysis. 2021;281.
LibreCat
2021 | Journal Article | LibreCat-ID: 35606
Tao Y, Winkler M. The dampening role of large repulsive convection in a chemotaxis system modeling tumor angiogenesis. Nonlinear Analysis, Theory, Methods and Applications. 2021;208.
LibreCat
2021 | Journal Article | LibreCat-ID: 35612
Wang Y, Winkler M, Xiang Z. Immediate regularization of measure-type population densities in a two-dimensional chemotaxis system with signal consumption. Science China Mathematics. 2021;64:725-746.
LibreCat
2021 | Journal Article | LibreCat-ID: 35601
Ding M, Winkler M. Small-density solutiions in Keller-Segel systems involving rapidly decaying diffusivities. Nonlinear Differential Equatiions and Applicatiions. 2021;28.
LibreCat
2021 | Journal Article | LibreCat-ID: 35605
Tao Y, Winkler M. Global smooth solutions in a two-dimensional cross-diffusion system modeling propagation of urban crime. Communications in Mathematical Sciences. 2021;19:829-849.
LibreCat
2021 | Journal Article | LibreCat-ID: 35604
Tao Y, Winkler M. Taxis-driven formation of singular hotspots in a May-Nowak type model for virus infection. SIAM Journal on Mathematical Analysis. 2021;53:1411-1433.
LibreCat
2021 | Journal Article | LibreCat-ID: 35610
Wang Y, Winkler M, Xiang Z. Local energy estimates and global solvability in a threee-dimensional chemotaxis-fluid system with prescribed signal on the boundary. Communications in Partial Differential Equations. 2021;46:1058-1091.
LibreCat
2021 | Journal Article | LibreCat-ID: 35611
Wang Y, Winkler M, Xiang Z. Global solvability in a threee-dimensional Keller-Segel.Stokes system involving arbitrary superlinear logistic degradation. Advances in Nonlinear Analysis. 2021;10:707-731.
LibreCat
2021 | Journal Article | LibreCat-ID: 35608
Tao Y, Winkler M. Critical mass for infinite-time blow-up in a haptotaxis system with nonlinear zero-order interaction. Discrete and Continuous Dynamical Systems. 2021;41(A):439-454.
LibreCat
2020 | Journal Article | LibreCat-ID: 37373
Winkler M. Single-point blow-up in the Cauchy problem for the higher-dimensional Keller-Segel system. Nonlinearity. 2020;33:5007-5048.
LibreCat
2020 | Journal Article | LibreCat-ID: 37380
Winkler M. Boundedness in a two-dimensional Keller-Segel-Navier-Stokes system involving a rapidly diffusing repulsive signal. Zeitschrift für angewandte Mathematik und Physik. 2020;71.
LibreCat
2020 | Journal Article | LibreCat-ID: 37367
Winkler M. Can simultaneous density-determined enhacement of diffusion and cross-diffusion foster boundedness in Keller-Segel type systems involving signal-dependent motilities? Nonlinearity. 2020;33:6590-6623.
LibreCat
2020 | Journal Article | LibreCat-ID: 37364
Winkler M. The role of superlinear damping in the construction of solutions to drift-diffusion problems with initial data in $L^1$. Advances in Nonlinear Analysis. 2020;9:526-566.
LibreCat
2020 | Journal Article | LibreCat-ID: 37375
Winkler M. Attractiveness of constant states in logistic-type Keller-Segel systems involving subquadratic growth restrictions. Advanced Nonlinear Studies. 2020;20:795-817.
LibreCat
2020 | Journal Article | LibreCat-ID: 37355
Winkler M. Small-mass solutions in the two-dimensional Keller-Segel system coupled to the Navier-Stokes equations. SIAM Journal on Mathematical Analysis. 2020;52:2041-2080.
LibreCat
2020 | Journal Article | LibreCat-ID: 37377
Winkler M. Can Fluid Interaction Influence the Critical Mass for Taxis-Driven Blow-up in Bounded Planar Domains? Acta Applicandae Mathematicae. 2020;169:577-591.
LibreCat
2020 | Journal Article | LibreCat-ID: 37357
Winkler M. Blow-up profiles and liefe beyond blow-up in the fully parabolic Keller-Segel system. Journal d’Analyse Mathématique. 2020;141:585-624.
LibreCat
2020 | Journal Article | LibreCat-ID: 37347
Rodriguez N, Winkler M. Relaxation by nonlinear diffusion enhancement in a two-dimensional cross-diffusion model for urban crime propagation. Mathematical Models & Methods in Applied Sciences. 2020;30:2105-2137.
LibreCat
2020 | Journal Article | LibreCat-ID: 37342
Li G, Tao Y, Winkler M. Larg time behavior in a predator-prey system with indirect pursuit-evasion interaction. Discrete and Continuous Dynamical Systems --B. 2020;25:4383-4398.
LibreCat
2020 | Journal Article | LibreCat-ID: 37354
Tao Y, Winkler M. Global classical solutions to a doubly haptotactic cross-diffusion system modeling oncolytic virotherapy. Journal of Differential Equations. 2020;268:4973-4997.
LibreCat
2020 | Journal Article | LibreCat-ID: 37351
Tao Y, Winkler M. A critical virus production rate for blow-up suppression in a haptotaxis model for oncolytic virotherapy. Nonlinear Analysis. 2020;198.
LibreCat
2020 | Journal Article | LibreCat-ID: 37349
Stinner C, Winkler M. Refined regularity and stabilization properties in a degenerate haptotaxis system. Discrete and Continuous Dynamical Systems --A. 2020;40:4039-4058.
LibreCat
2020 | Journal Article | LibreCat-ID: 37339
Steiner E, Winkler M. Mathematical Analysis of Two Competing Cancer Cell Migration Mechanisms Driven by Interstitial Fluid Flow. Journal of Nonlinear Science. 2020;30:1809-1847.
LibreCat