Michael Winkler

michael.winkler@uni-paderborn.de
ID
31496

46 Publications

Mark all

[46]
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, vol. 61, 108, 2022.
LibreCat
 
[45]
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, vol. 22, 2022, pp. 88–117.
LibreCat
 
[44]
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, vol. 63, 103407, 2022.
LibreCat
 
[43]
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, vol. 295, 2022, pp. 1840–62.
LibreCat
 
[42]
2022 | Journal Article | LibreCat-ID: 35600
Winkler, Michael. “Oscillatory Decay in a Degenerate Parabolic Equation.” Partial Differential Equations and Applications, vol. 3, 47, 2022.
LibreCat
 
[41]
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, vol. 7, 2022, pp. 1437–65.
LibreCat
 
[40]
2022 | Journal Article | LibreCat-ID: 35590
Winkler, Michael. “Unlimited Growth in Logarithmic Keller-Segel Systems.” Journal of Differential Equations, vol. 309, 2022, pp. 74–97.
LibreCat
 
[39]
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, vol. 35, 2022, pp. 719–49.
LibreCat
 
[38]
2022 | Journal Article | LibreCat-ID: 35568
Winkler, Michael. “Reaction-Driven Relaxation in Threee-Dimensional Keller-Segel-Navier-Stokes Interaction.” Communications in Mathematical Physics, vol. 389, 2022, pp. 439–89.
LibreCat
 
[37]
2022 | Journal Article | LibreCat-ID: 35574
Winkler, Michael. “A Family of Mass-Critical Keller-Segel Systems.” Proceedings of the London Mathematical Society, vol. 124, 2022, pp. 133–81.
LibreCat
 
[36]
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, vol. 32, no. 01, World Scientific Pub Co Pte Ltd, 2022, pp. 137–73, doi:10.1142/s021820252250004x.
LibreCat | DOI
 
[35]
2022 | Journal Article | LibreCat-ID: 35483
Kang, Kyungkeun, et al. “Global Weak Solutions to a Chemotaxis-Navier-Stokes System in $R^3$.” Discrete and Continuous Dynamical Systems, vol. 42, 2022, pp. 5201–22.
LibreCat
 
[34]
2022 | Journal Article | LibreCat-ID: 35481
Fuhrmann, Jan, et al. “A Double Critical Mass Phenomenon in a No-Flux-Dirichlet Keller-Segel System.” Journal de Mathématiques Pures et Appliquées, vol. 162, 2022, pp. 124–51.
LibreCat
 
[33]
2022 | Journal Article | LibreCat-ID: 35565
Wang, Yulan, et al. “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, 2022, pp. 985–1001.
LibreCat
 
[32]
2022 | Journal Article | LibreCat-ID: 35560
Wang, Yulan, et al. “Global Mass-Preserving Solutions to a Chemotaxis-Fluid Model Involving Dirichlet Boundary Conditions for the Signal.” Analysis and Applications, vol. 20, 2022, pp. 141–70.
LibreCat
 
[31]
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, vol. 152, 2022, pp. 81–101.
LibreCat
 
[30]
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, vol. 54, 2022, pp. 4806–64.
LibreCat
 
[29]
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, vol. 21, 2022, pp. 687–784.
LibreCat
 
[28]
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, vol. 59, 103257, 2021.
LibreCat
 
[27]
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, vol. 72, 72, 2021.
LibreCat
 
[26]
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, vol. 2021, 2021, pp. 8106–52.
LibreCat
 
[25]
2021 | Journal Article | LibreCat-ID: 35617
Winkler, Michael. “Boundedness in a Three-Dimensional Keller-Segel-Stokes System with Subcritical Sensitivity.” Applied Mathematics Letters, vol. 112, 2021, p. 106785.
LibreCat
 
[24]
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, vol. 374, 2021, pp. 219–68.
LibreCat
 
[23]
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, vol. 281, 109069, 2021.
LibreCat
 
[22]
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, vol. 208, 112324, 2021.
LibreCat
 
[21]
2021 | Journal Article | LibreCat-ID: 35612
Wang, Yulan, et al. “Immediate Regularization of Measure-Type Population Densities in a Two-Dimensional Chemotaxis System with Signal Consumption.” Science China Mathematics, vol. 64, 2021, pp. 725–46.
LibreCat
 
[20]
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, vol. 28, 47, 2021.
LibreCat
 
[19]
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, vol. 19, 2021, pp. 829–49.
LibreCat
 
[18]
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, vol. 53, 2021, pp. 1411–33.
LibreCat
 
[17]
2021 | Journal Article | LibreCat-ID: 35610
Wang, Yulan, et al. “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, 2021, pp. 1058–91.
LibreCat
 
[16]
2021 | Journal Article | LibreCat-ID: 35611
Wang, Yulan, et al. “Global Solvability in a Threee-Dimensional Keller-Segel.Stokes System Involving Arbitrary Superlinear Logistic Degradation.” Advances in Nonlinear Analysis, vol. 10, 2021, pp. 707–31.
LibreCat
 
[15]
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, vol. 41, no. A, 2021, pp. 439–54.
LibreCat
 
[14]
2020 | Journal Article | LibreCat-ID: 37373
Winkler, Michael. “Single-Point Blow-up in the Cauchy Problem for the Higher-Dimensional Keller-Segel System.” Nonlinearity, vol. 33, 2020, pp. 5007–48.
LibreCat
 
[13]
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, vol. 71, 10, 2020.
LibreCat
 
[12]
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, vol. 33, 2020, pp. 6590–623.
LibreCat
 
[11]
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, vol. 9, 2020, pp. 526–66.
LibreCat
 
[10]
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, vol. 20, 2020, pp. 795–817.
LibreCat
 
[9]
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, vol. 52, 2020, pp. 2041–80.
LibreCat
 
[8]
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, vol. 169, 2020, pp. 577–91.
LibreCat
 
[7]
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, vol. 141, 2020, pp. 585–624.
LibreCat
 
[6]
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, vol. 30, 2020, pp. 2105–37.
LibreCat
 
[5]
2020 | Journal Article | LibreCat-ID: 37342
Li, Genglin, et al. “Larg Time Behavior in a Predator-Prey System with Indirect Pursuit-Evasion Interaction.” Discrete and Continuous Dynamical Systems --B, vol. 25, 2020, pp. 4383–98.
LibreCat
 
[4]
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, vol. 268, 2020, pp. 4973–97.
LibreCat
 
[3]
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, vol. 198, 111870, 2020.
LibreCat
 
[2]
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, vol. 40, 2020, pp. 4039–58.
LibreCat
 
[1]
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, vol. 30, 2020, pp. 1809–47.
LibreCat
 
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46 Publications

Mark all

[46]
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, vol. 61, 108, 2022.
LibreCat
 
[45]
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, vol. 22, 2022, pp. 88–117.
LibreCat
 
[44]
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, vol. 63, 103407, 2022.
LibreCat
 
[43]
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, vol. 295, 2022, pp. 1840–62.
LibreCat
 
[42]
2022 | Journal Article | LibreCat-ID: 35600
Winkler, Michael. “Oscillatory Decay in a Degenerate Parabolic Equation.” Partial Differential Equations and Applications, vol. 3, 47, 2022.
LibreCat
 
[41]
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, vol. 7, 2022, pp. 1437–65.
LibreCat
 
[40]
2022 | Journal Article | LibreCat-ID: 35590
Winkler, Michael. “Unlimited Growth in Logarithmic Keller-Segel Systems.” Journal of Differential Equations, vol. 309, 2022, pp. 74–97.
LibreCat
 
[39]
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, vol. 35, 2022, pp. 719–49.
LibreCat
 
[38]
2022 | Journal Article | LibreCat-ID: 35568
Winkler, Michael. “Reaction-Driven Relaxation in Threee-Dimensional Keller-Segel-Navier-Stokes Interaction.” Communications in Mathematical Physics, vol. 389, 2022, pp. 439–89.
LibreCat
 
[37]
2022 | Journal Article | LibreCat-ID: 35574
Winkler, Michael. “A Family of Mass-Critical Keller-Segel Systems.” Proceedings of the London Mathematical Society, vol. 124, 2022, pp. 133–81.
LibreCat
 
[36]
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, vol. 32, no. 01, World Scientific Pub Co Pte Ltd, 2022, pp. 137–73, doi:10.1142/s021820252250004x.
LibreCat | DOI
 
[35]
2022 | Journal Article | LibreCat-ID: 35483
Kang, Kyungkeun, et al. “Global Weak Solutions to a Chemotaxis-Navier-Stokes System in $R^3$.” Discrete and Continuous Dynamical Systems, vol. 42, 2022, pp. 5201–22.
LibreCat
 
[34]
2022 | Journal Article | LibreCat-ID: 35481
Fuhrmann, Jan, et al. “A Double Critical Mass Phenomenon in a No-Flux-Dirichlet Keller-Segel System.” Journal de Mathématiques Pures et Appliquées, vol. 162, 2022, pp. 124–51.
LibreCat
 
[33]
2022 | Journal Article | LibreCat-ID: 35565
Wang, Yulan, et al. “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, 2022, pp. 985–1001.
LibreCat
 
[32]
2022 | Journal Article | LibreCat-ID: 35560
Wang, Yulan, et al. “Global Mass-Preserving Solutions to a Chemotaxis-Fluid Model Involving Dirichlet Boundary Conditions for the Signal.” Analysis and Applications, vol. 20, 2022, pp. 141–70.
LibreCat
 
[31]
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, vol. 152, 2022, pp. 81–101.
LibreCat
 
[30]
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, vol. 54, 2022, pp. 4806–64.
LibreCat
 
[29]
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, vol. 21, 2022, pp. 687–784.
LibreCat
 
[28]
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, vol. 59, 103257, 2021.
LibreCat
 
[27]
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, vol. 72, 72, 2021.
LibreCat
 
[26]
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, vol. 2021, 2021, pp. 8106–52.
LibreCat
 
[25]
2021 | Journal Article | LibreCat-ID: 35617
Winkler, Michael. “Boundedness in a Three-Dimensional Keller-Segel-Stokes System with Subcritical Sensitivity.” Applied Mathematics Letters, vol. 112, 2021, p. 106785.
LibreCat
 
[24]
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, vol. 374, 2021, pp. 219–68.
LibreCat
 
[23]
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, vol. 281, 109069, 2021.
LibreCat
 
[22]
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, vol. 208, 112324, 2021.
LibreCat
 
[21]
2021 | Journal Article | LibreCat-ID: 35612
Wang, Yulan, et al. “Immediate Regularization of Measure-Type Population Densities in a Two-Dimensional Chemotaxis System with Signal Consumption.” Science China Mathematics, vol. 64, 2021, pp. 725–46.
LibreCat
 
[20]
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, vol. 28, 47, 2021.
LibreCat
 
[19]
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, vol. 19, 2021, pp. 829–49.
LibreCat
 
[18]
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, vol. 53, 2021, pp. 1411–33.
LibreCat
 
[17]
2021 | Journal Article | LibreCat-ID: 35610
Wang, Yulan, et al. “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, 2021, pp. 1058–91.
LibreCat
 
[16]
2021 | Journal Article | LibreCat-ID: 35611
Wang, Yulan, et al. “Global Solvability in a Threee-Dimensional Keller-Segel.Stokes System Involving Arbitrary Superlinear Logistic Degradation.” Advances in Nonlinear Analysis, vol. 10, 2021, pp. 707–31.
LibreCat
 
[15]
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, vol. 41, no. A, 2021, pp. 439–54.
LibreCat
 
[14]
2020 | Journal Article | LibreCat-ID: 37373
Winkler, Michael. “Single-Point Blow-up in the Cauchy Problem for the Higher-Dimensional Keller-Segel System.” Nonlinearity, vol. 33, 2020, pp. 5007–48.
LibreCat
 
[13]
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, vol. 71, 10, 2020.
LibreCat
 
[12]
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, vol. 33, 2020, pp. 6590–623.
LibreCat
 
[11]
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, vol. 9, 2020, pp. 526–66.
LibreCat
 
[10]
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, vol. 20, 2020, pp. 795–817.
LibreCat
 
[9]
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, vol. 52, 2020, pp. 2041–80.
LibreCat
 
[8]
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, vol. 169, 2020, pp. 577–91.
LibreCat
 
[7]
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, vol. 141, 2020, pp. 585–624.
LibreCat
 
[6]
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, vol. 30, 2020, pp. 2105–37.
LibreCat
 
[5]
2020 | Journal Article | LibreCat-ID: 37342
Li, Genglin, et al. “Larg Time Behavior in a Predator-Prey System with Indirect Pursuit-Evasion Interaction.” Discrete and Continuous Dynamical Systems --B, vol. 25, 2020, pp. 4383–98.
LibreCat
 
[4]
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, vol. 268, 2020, pp. 4973–97.
LibreCat
 
[3]
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, vol. 198, 111870, 2020.
LibreCat
 
[2]
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, vol. 40, 2020, pp. 4039–58.
LibreCat
 
[1]
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, vol. 30, 2020, pp. 1809–47.
LibreCat
 
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Citation Style: MLA

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