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Author ID: winkler.michael Recent zbMATH articles by "Winkler, Michael"
Published as: Winkler, Michael; Winkler, M.
Homepage: https://www2.math.uni-paderborn.de/?id=16819
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Serials

22 Journal of Differential Equations
15 M\(^3\)AS. Mathematical Models & Methods in Applied Sciences
11 Nonlinearity
11 SIAM Journal on Mathematical Analysis
9 Nonlinear Analysis. Theory, Methods & Applications. Series A: Theory and Methods
8 Mathematical Methods in the Applied Sciences
8 ZAMP. Zeitschrift für angewandte Mathematik und Physik
8 Communications in Partial Differential Equations
7 Discrete and Continuous Dynamical Systems
6 European Journal of Applied Mathematics
6 Advances in Differential Equations
6 Nonlinear Analysis. Real World Applications
5 Journal of Mathematical Analysis and Applications
5 Indiana University Mathematics Journal
5 Mathematische Annalen
5 Proceedings of the Royal Society of Edinburgh. Section A. Mathematics
5 Journal of Dynamics and Differential Equations
5 NoDEA. Nonlinear Differential Equations and Applications
4 Calculus of Variations and Partial Differential Equations
4 Journal of Evolution Equations
4 Discrete and Continuous Dynamical Systems. Series B
4 Communications on Pure and Applied Analysis
3 Archive for Rational Mechanics and Analysis
3 Journal of Mathematical Biology
3 Mathematische Nachrichten
3 Annales de l’Institut Henri Poincaré. Analyse Non Linéaire
3 Journal de Mathématiques Pures et Appliquées. Neuvième Série
3 Journal of the European Mathematical Society (JEMS)
3 Communications in Mathematical Sciences
3 Annali della Scuola Normale Superiore di Pisa. Classe di Scienze. Serie V
2 Communications in Mathematical Physics
2 Israel Journal of Mathematics
2 Applied Mathematics and Optimization
2 Journal of Functional Analysis
2 Journal of the London Mathematical Society. Second Series
2 Proceedings of the London Mathematical Society. Third Series
2 Transactions of the American Mathematical Society
2 Acta Applicandae Mathematicae
2 Applied Mathematics Letters
2 Asymptotic Analysis
2 IMRN. International Mathematics Research Notices
2 SIAM Journal on Applied Mathematics
2 Journal of Nonlinear Science
2 Advanced Nonlinear Studies
2 Advances in Nonlinear Analysis
1 Jahresbericht der Deutschen Mathematiker-Vereinigung (DMV)
1 Journal d’Analyse Mathématique
1 Mathematical Biosciences
1 Advances in Mathematics
1 Annali di Matematica Pura ed Applicata. Serie Quarta
1 Mathematische Zeitschrift
1 Proceedings of the Edinburgh Mathematical Society. Series II
1 Rendiconti dell’Istituto di Matematica dell’Università di Trieste
1 Zeitschrift für Analysis und ihre Anwendungen
1 Acta Mathematica Universitatis Comenianae. New Series
1 INFORMS Journal on Computing
1 Journal of Mathematical Fluid Mechanics
1 Acta Mathematica Sinica. English Series
1 Communications in Contemporary Mathematics
1 Analysis and Applications (Singapore)
1 Oberwolfach Reports
1 Discrete and Continuous Dynamical Systems. Series S
1 International Journal of Dynamical Systems and Differential Equations
1 Mathematical Programming Computation
1 Science China. Mathematics
1 Bulletin of Mathematical Sciences
1 Evolution Equations and Control Theory
1 Open Mathematics
1 Journal of Elliptic and Parabolic Equations
1 Transactions of the American Mathematical Society. Series B
1 SN Partial Differential Equations and Applications
1 OJMO. Open Journal of Mathematical Optimization

Publications by Year

Citations contained in zbMATH Open

230 Publications have been cited 13,152 times in 2,209 Documents Cited by Year
Aggregation vs. global diffusive behavior in the higher-dimensional Keller-Segel model. Zbl 1190.92004
Winkler, Michael
771
2010
Toward a mathematical theory of Keller-Segel models of pattern formation in biological tissues. Zbl 1326.35397
Bellomo, N.; Bellouquid, A.; Tao, Y.; Winkler, M.
645
2015
Boundedness vs. blow-up in a chemotaxis system. Zbl 1085.35065
Horstmann, Dirk; Winkler, Michael
618
2005
Finite-time blow-up in the higher-dimensional parabolic-parabolic Keller-Segel system. Zbl 1326.35053
Winkler, Michael
606
2013
Boundedness in a quasilinear parabolic-parabolic Keller-Segel system with subcritical sensitivity. Zbl 1382.35127
Tao, Youshan; Winkler, Michael
499
2012
Boundedness in the higher-dimensional parabolic-parabolic chemotaxis system with logistic source. Zbl 1290.35139
Winkler, Michael
491
2010
Global large-data solutions in a chemotaxis-(Navier-)Stokes system modeling cellular swimming in fluid drops. Zbl 1236.35192
Winkler, Michael
403
2012
A chemotaxis system with logistic source. Zbl 1121.37068
Tello, J. Ignacio; Winkler, Michael
393
2007
Stabilization in a two-dimensional chemotaxis-Navier-Stokes system. Zbl 1293.35220
Winkler, Michael
285
2014
Global weak solutions in a three-dimensional chemotaxis-Navier-Stokes system. Zbl 1351.35239
Winkler, Michael
230
2016
Eventual smoothness and stabilization of large-data solutions in a three-dimensional chemotaxis system with consumption of chemoattractant. Zbl 1268.35016
Tao, Youshan; Winkler, Michael
228
2012
Blow-up in a higher-dimensional chemotaxis system despite logistic growth restriction. Zbl 1241.35028
Winkler, Michael
222
2011
Does a volume-filling effect always prevent chemotactic collapse? Zbl 1182.35220
Winkler, Michael
220
2010
Equilibration in a fully parabolic two-species chemotaxis system with competitive kinetics. Zbl 1345.35117
Bai, Xueli; Winkler, Michael
213
2016
Global asymptotic stability of constant equilibria in a fully parabolic chemotaxis system with strong logistic dampening. Zbl 1293.35048
Winkler, Michael
209
2014
Boundedness and large time behavior in a three-dimensional chemotaxis-Stokes system with nonlinear diffusion and general sensitivity. Zbl 1333.35104
Winkler, Michael
182
2015
Global weak solutions in a PDE-ODE system modeling multiscale cancer cell invasion. Zbl 1301.35189
Stinner, Christian; Surulescu, Christina; Winkler, Michael
180
2014
Boundedness and finite-time collapse in a chemotaxis system with volume-filling effect. Zbl 1183.92012
Winkler, Michael; Djie, Kianhwa C.
177
2010
How far do chemotaxis-driven forces influence regularity in the Navier-Stokes system? Zbl 1356.35071
Winkler, Michael
177
2017
Finite-time blow-up in a quasilinear system of chemotaxis. Zbl 1136.92006
Cieślak, Tomasz; Winkler, Michael
172
2008
Locally bounded global solutions in a three-dimensional chemotaxis-Stokes system with nonlinear diffusion. Zbl 1283.35154
Tao, Youshan; Winkler, Michael
170
2013
Chemotaxis with logistic source: very weak global solutions and their boundedness properties. Zbl 1147.92005
Winkler, Michael
165
2008
A chemotaxis-haptotaxis model: the roles of nonlinear diffusion and logistic source. Zbl 1259.35210
Tao, Youshan; Winkler, Michael
156
2011
How far can chemotactic cross-diffusion enforce exceeding carrying capacities? Zbl 1311.35040
Winkler, Michael
154
2014
Boundedness and decay enforced by quadratic degradation in a three-dimensional chemotaxis-fluid system. Zbl 1328.35084
Tao, Youshan; Winkler, Michael
152
2015
Global existence and boundedness in a Keller-Segel-Stokes model with arbitrary porous medium diffusion. Zbl 1276.35105
Tao, Youshan; Winkler, Michael
148
2012
Global solutions in a fully parabolic chemotaxis system with singular sensitivity. Zbl 1291.92018
Winkler, Michael
142
2011
Finite-time blow-up in low-dimensional Keller-Segel systems with logistic-type superlinear degradation. Zbl 1395.35048
Winkler, Michael
137
2018
Large time behavior in a multidimensional chemotaxis-haptotaxis model with slow signal diffusion. Zbl 1328.35103
Tao, Youshan; Winkler, Michael
132
2015
Stabilization in a two-species chemotaxis system with a logistic source. Zbl 1260.92014
Tello, J. I.; Winkler, M.
125
2012
Absence of collapse in a parabolic chemotaxis system with signal-dependent sensitivity. Zbl 1205.35037
Winkler, Michael
125
2010
A three-dimensional Keller-Segel-Navier-Stokes system with logistic source: global weak solutions and asymptotic stabilization. Zbl 1408.35132
Winkler, Michael
123
2019
Large-data global generalized solutions in a chemotaxis system with tensor-valued sensitivities. Zbl 1330.35202
Winkler, Michael
122
2015
Competitive exclusion in a two-species chemotaxis model. Zbl 1319.92050
Stinner, C.; Tello, J. I.; Winkler, M.
118
2014
Energy-type estimates and global solvability in a two-dimensional chemotaxis-haptotaxis model with remodeling of non-diffusible attractant. Zbl 1295.35144
Tao, Youshan; Winkler, Michael
116
2014
Stabilization in a chemotaxis model for tumor invasion. Zbl 1322.35059
Yokota, Tomomi; Winkler, Michael; Ito, Akio; Fujie, Kentarou
115
2016
Blow-up prevention by quadratic degradation in a two-dimensional Keller-Segel-Navier-Stokes system. Zbl 1356.35054
Tao, Youshan; Winkler, Michael
109
2016
Critical mass for infinite-time aggregation in a chemotaxis model with indirect signal production. Zbl 1406.35068
Tao, Youshan; Winkler, Michael
94
2017
A generalized solution concept for the Keller-Segel system with logarithmic sensitivity: global solvability for large nonradial data. Zbl 1373.35166
Lankeit, Johannes; Winkler, Michael
90
2017
Global weak solutions in a chemotaxis system with large singular sensitivity. Zbl 1268.35072
Stinner, Christian; Winkler, Michael
88
2011
Convergence of a cancer invasion model to a logistic chemotaxis model. Zbl 1263.35204
Hillen, Thomas; Painter, Kevin J.; Winkler, Michael
88
2013
Effects of signal-dependent motilities in a Keller-Segel-type reaction-diffusion system. Zbl 1516.35092
Tao, Youshan; Winkler, Michael
87
2017
Global classical solutions in a two-dimensional chemotaxis-Navier-Stokes system with subcritical sensitivity. Zbl 1395.92024
Wang, Yulan; Winkler, Michael; Xiang, Zhaoyin
86
2018
The two-dimensional Keller-Segel system with singular sensitivity and signal absorption: global large-data solutions and their relaxation properties. Zbl 1383.35099
Winkler, Michael
85
2016
A critical blow-up exponent in a chemotaxis system with nonlinear signal production. Zbl 1391.35240
Winkler, Michael
82
2018
A fourth-order parabolic equation modeling epitaxial thin film growth. Zbl 1029.35110
King, Belinda B.; Stein, Oliver; Winkler, Michael
78
2003
Boundedness vs. blow-up in a two-species chemotaxis system with two chemicals. Zbl 1329.35075
Winkler, Michael; Tao, Youshan
78
2015
Global small-data solutions of a two-dimensional chemotaxis system with rotational flux terms. Zbl 1322.35054
Li, Tong; Suen, Anthony; Winkler, Michael; Xue, Chuan
74
2015
Global existence and stabilization in a degenerate chemotaxis-Stokes system with mildly strong diffusion enhancement. Zbl 1395.35038
Winkler, Michael
68
2018
A critical exponent in a degenerate parabolic equation. Zbl 1007.35043
Winkler, Michael
67
2002
Dominance of chemotaxis in a chemotaxis-haptotaxis model. Zbl 1293.35047
Tao, Youshan; Winkler, Michael
65
2014
A degenerate chemotaxis system with flux limitation: maximally extended solutions and absence of gradient blow-up. Zbl 1430.35166
Bellomo, Nicola; Winkler, Michael
65
2017
Blow-up prevention by logistic sources in a parabolic-elliptic Keller-Segel system with singular sensitivity. Zbl 1297.35051
Fujie, Kentarou; Winkler, Michael; Yokota, Tomomi
63
2014
Boundedness and stabilization in a multi-dimensional chemotaxis-haptotaxis model. Zbl 1312.35171
Tao, Youshan; Winkler, Michael
62
2014
Boundedness of solutions to parabolic-elliptic Keller-Segel systems with signal-dependent sensitivity. Zbl 1329.35011
Fujie, Kentarou; Winkler, Michael; Yokota, Tomomi
61
2015
Emergence of large population densities despite logistic growth restrictions in fully parabolic chemotaxis systems. Zbl 1377.35158
Winkler, Michael
61
2017
Finite-time blow-up in a degenerate chemotaxis system with flux limitation. Zbl 1367.35044
Bellomo, Nicola; Winkler, Michael
61
2017
Asymptotic homogenization in a three-dimensional nutrient taxis system involving food-supported proliferation. Zbl 1370.35059
Winkler, Michael
57
2017
Small-mass solutions in the two-dimensional Keller-Segel system coupled to the Navier-Stokes equations. Zbl 1441.35079
Winkler, Michael
57
2020
Occurrence vs. absence of taxis-driven instabilities in a May-Nowak model for virus infection. Zbl 1428.35615
Bellomo, Nicola; Painter, Kevin J.; Tao, Youshan; Winkler, Michael
54
2019
Does fluid interaction affect regularity in the three-dimensional Keller-Segel system with saturated sensitivity? Zbl 1409.35047
Winkler, Michael
52
2018
Persistence of mass in a chemotaxis system with logistic source. Zbl 1321.35084
Tao, Youshan; Winkler, Michael
51
2015
Renormalized radial large-data solutions to the higher-dimensional Keller-Segel system with singular sensitivity and signal absorption. Zbl 1378.35165
Winkler, Michael
51
2018
Global mass-preserving solutions in a two-dimensional chemotaxis-Stokes system with rotational flux components. Zbl 1404.35464
Winkler, Michael
50
2018
The role of superlinear damping in the construction of solutions to drift-diffusion problems with initial data in \(L^{1}\). Zbl 1419.35099
Winkler, Michael
50
2020
Global classical solvability and stabilization in a two-dimensional chemotaxis-Navier-Stokes system modeling coral fertilization. Zbl 1392.35042
Espejo, Elio; Winkler, Michael
48
2018
Can rotational fluxes impede the tendency toward spatial homogeneity in nutrient taxis(-Stokes) systems? Zbl 1483.35294
Winkler, Michael
46
2021
Global classical solvability and generic infinite-time blow-up in quasilinear Keller-Segel systems with bounded sensitivities. Zbl 1415.35052
Winkler, Michael
43
2019
Chemotaxis and cross-diffusion models in complex environments: models and analytic problems toward a multiscale vision. Zbl 1497.35039
Bellomo, N.; Outada, N.; Soler, J.; Tao, Y.; Winkler, M.
42
2022
Facing low regularity in chemotaxis systems. Zbl 1436.92004
Lankeit, Johannes; Winkler, Michael
42
2020
The small-convection limit in a two-dimensional chemotaxis-Navier-Stokes system. Zbl 1397.35322
Wang, Yulan; Winkler, Michael; Xiang, Zhaoyin
40
2018
Stabilization in the logarithmic Keller-Segel system. Zbl 1391.35066
Winkler, Michael; Yokota, Tomomi
37
2018
Large time behavior in a forager-exploiter model with different taxis strategies for two groups in search of food. Zbl 1425.35200
Tao, Youshan; Winkler, Michael
37
2019
Attractiveness of constant states in logistic-type Keller-Segel systems involving subquadratic growth restrictions. Zbl 1465.35065
Winkler, Michael
37
2020
Global classical solutions to a doubly haptotactic cross-diffusion system modeling oncolytic virotherapy. Zbl 1430.35132
Tao, Youshan; Winkler, Michael
37
2020
Global generalized solutions to a multi-dimensional doubly tactic resource consumption model accounting for social interactions. Zbl 1428.35612
Winkler, Michael
36
2019
Global regularity versus infinite-time singularity formation in a chemotaxis model with volume-filling effect and degenerate diffusion. Zbl 1277.35223
Wang, Zhi-An; Winkler, Michael; Wrzosek, Dariusz
33
2012
Global existence and uniform boundedness of smooth solutions to a cross-diffusion system with equal diffusion rates. Zbl 1332.35172
Lou, Yuan; Winkler, Michael
32
2015
Global existence and slow grow-up in a quasilinear Keller-Segel system with exponentially decaying diffusivity. Zbl 1382.35048
Winkler, Michael
32
2017
Blow-up profiles for the parabolic-elliptic Keller-Segel system in dimensions \({n\geq 3}\). Zbl 1411.35140
Souplet, Philippe; Winkler, Michael
31
2019
A critical virus production rate for blow-up suppression in a haptotaxis model for oncolytic virotherapy. Zbl 1442.35480
Tao, Youshan; Winkler, Michael
31
2020
Singular structure formation in a degenerate haptotaxis model involving myopic diffusion. Zbl 1391.35065
Winkler, Michael
29
2018
Global solvability and stabilization in a two-dimensional cross-diffusion system modeling urban crime propagation. Zbl 1428.35611
Winkler, Michael
28
2019
Global bounded solutions in a two-dimensional quasilinear Keller-Segel system with exponentially decaying diffusivity and subcritical sensitivity. Zbl 1364.35124
Cieślak, Tomasz; Winkler, Michael
27
2017
Global solvability in a three-dimensional Keller-Segel-Stokes system involving arbitrary superlinear logistic degradation. Zbl 1466.92020
Wang, Yulan; Winkler, Michael; Xiang, Zhaoyin
27
2021
Local energy estimates and global solvability in a three-dimensional chemotaxis-fluid system with prescribed signal on the boundary. Zbl 1470.92044
Wang, Yulan; Winkler, Michael; Xiang, Zhaoyin
27
2021
Stabilization in a higher-dimensional quasilinear Keller-Segel system with exponentially decaying diffusivity and subcritical sensitivity. Zbl 1367.35033
Cieślak, Tomasz; Winkler, Michael
26
2017
How unstable is spatial homogeneity in Keller-Segel systems? A new critical mass phenomenon in two- and higher-dimensional parabolic-elliptic cases. Zbl 1416.35049
Winkler, Michael
24
2019
Conditional estimates in three-dimensional chemotaxis-Stokes systems and application to a Keller-Segel-fluid model accounting for gradient-dependent flux limitation. Zbl 1460.35358
Winkler, Michael
24
2021
The fast signal diffusion limit in Keller-Segel(-fluid) systems. Zbl 1426.92009
Wang, Yulan; Winkler, Michael; Xiang, Zhaoyin
23
2019
Approaching the ideal free distribution in two-species competition models with fitness-dependent dispersal. Zbl 1295.35098
Lou, Yuan; Tao, Youshan; Winkler, Michael
22
2014
Global solutions in higher dimensions to a fourth-order parabolic equation modeling epitaxial thin-film growth. Zbl 1258.35192
Winkler, Michael
22
2011
Convergence rate for a parabolic equation with supercritical nonlinearity. Zbl 1087.35049
Fila, Marek; Winkler, Michael; Yanagida, Eiji
21
2005
Large time behavior in a predator-prey system with indirect pursuit-evasion interaction. Zbl 1453.92250
Li, Genglin; Tao, Youshan; Winkler, Michael
21
2020
A chemotaxis-haptotaxis system with haptoattractant remodeling: boundedness enforced by mild saturation of signal production. Zbl 1412.35181
Tao, Youshan; Winkler, Michael
21
2019
Suppressing blow-up by gradient-dependent flux limitation in a planar Keller-Segel-Navier-Stokes system. Zbl 1466.35060
Winkler, Michael
21
2021
Critical mass for infinite-time blow-up in a haptotaxis system with nonlinear zero-order interaction. Zbl 1458.35076
Tao, Youshan; Winkler, Michael
21
2021
Singularity formation in chemotaxis systems with volume-filling effect. Zbl 1255.35213
Wang, Zhi-An; Winkler, Michael; Wrzosek, Dariusz
20
2011
Grow up rate of solutions for a supercritical semilinear diffusion equation. Zbl 1072.35042
Fila, Marek; Winkler, Michael; Yanagida, Eiji
20
2004
A fully cross-diffusive two-component evolution system: existence and qualitative analysis via entropy-consistent thin-film-type approximation. Zbl 1471.35278
Tao, Youshan; Winkler, Michael
20
2021
Approaching critical decay in a strongly degenerate parabolic equation. Zbl 07818483
Winkler, Michael
1
2024
\(L^1\) solutions to parabolic Keller-Segel systems involving arbitrary superlinear degradation. Zbl 1517.35096
Winkler, Michael
19
2023
Does Leray’s structure theorem withstand buoyancy-driven chemotaxis-fluid interaction? Zbl 1520.35027
Winkler, Michael
13
2023
Relaxation in a Keller-Segel-consumption system involving signal-dependent motilities. Zbl 1518.35109
Li, Genglin; Winkler, Michael
11
2023
Weak solutions to triangular cross diffusion systems modeling chemotaxis with local sensing. Zbl 1501.35057
Desvillettes, Laurent; Laurençot, Philippe; Trescases, Ariane; Winkler, Michael
10
2023
Global solutions to a Keller-Segel-consumption system involving singularly signal-dependent motilities in domains of arbitrary dimension. Zbl 1505.35340
Tao, Youshan; Winkler, Michael
8
2023
Application of the Moser-Trudinger inequality in the construction of global solutions to a strongly degenerate migration model. Zbl 07735866
Winkler, Michael
7
2023
Global generalized solvability in a strongly degenerate taxis-type parabolic system modeling migration-consumption interaction. Zbl 1504.35181
Winkler, Michael
6
2023
Finite-time blow-up in a repulsive chemotaxis-consumption system. Zbl 1518.35155
Wang, Yulan; Winkler, Michael
4
2023
Analysis of a chemotaxis-SIS epidemic model with unbounded infection force. Zbl 1525.35038
Tao, Youshan; Winkler, Michael
3
2023
A critical exponent for blow-up in a two-dimensional chemotaxis-consumption system. Zbl 1521.35053
Ahn, Jaewook; Winkler, Michael
2
2023
Adaptive cut selection in mixed-integer linear programming. Zbl 1522.90045
Turner, Mark; Koch, Thorsten; Serrano, Felipe; Winkler, Michael
2
2023
Stabilization despite pervasive strong cross-degeneracies in a nonlinear diffusion model for migration-consumption interaction. Zbl 1525.35040
Winkler, Michael
2
2023
Classical solutions to Cauchy problems for parabolic-elliptic systems of Keller-Segel type. Zbl 1523.35268
Winkler, Michael
2
2023
Small-signal solutions to a nonlocal cross-diffusion model for interaction of scroungers with rapidly diffusing foragers. Zbl 1518.35439
Tao, Youshan; Winkler, Michael
1
2023
Exponential grow-up rates in a quasilinear Keller-Segel system. Zbl 1509.35325
Winkler, Michael
1
2023
A result on parabolic gradient regularity in Orlicz spaces and application to absorption-induced blow-up prevention in a Keller-Segel-type cross-diffusion system. Zbl 07794925
Winkler, Michael
1
2023
Chemotaxis and cross-diffusion models in complex environments: models and analytic problems toward a multiscale vision. Zbl 1497.35039
Bellomo, N.; Outada, N.; Soler, J.; Tao, Y.; Winkler, M.
42
2022
Reaction-driven relaxation in three-dimensional Keller-Segel-Navier-Stokes interaction. Zbl 1486.35102
Winkler, Michael
18
2022
Unlimited growth in logarithmic Keller-Segel systems. Zbl 1480.35383
Winkler, Michael
15
2022
Existence theory and qualitative analysis for a fully cross-diffusive predator-prey system. Zbl 1496.35228
Tao, Youshan; Winkler, Michael
14
2022
A critical blow-up exponent for flux limiation in a Keller-Segel system. Zbl 1501.35094
Winkler, Michael
13
2022
Global mass-preserving solutions to a chemotaxis-fluid model involving Dirichlet boundary conditions for the signal. Zbl 1484.92013
Wang, Yulan; Winkler, Michael; Xiang, Zhaoyin
10
2022
Chemotaxis-Stokes interaction with very weak diffusion enhancement: blow-up exclusion via detection of absorption-induced entropy structures involving multiplicative couplings. Zbl 1511.35053
Winkler, Michael
10
2022
A family of mass-critical Keller-Segel systems. Zbl 1522.35524
Winkler, Michael
8
2022
Asymptotic stability of spatial homogeneity in a haptotaxis model for oncolytic virotherapy. Zbl 1484.35363
Tao, Youshan; Winkler, Michael
8
2022
On the global existence and qualitative behaviour of one-dimensional solutions to a model for urban crime. Zbl 1503.35234
Rodriguez, Nancy; Winkler, Michael
7
2022
Global weak solutions and absorbing sets in a chemotaxis-Navier-Stokes system with prescribed signal concentration on the boundary. Zbl 1487.35372
Black, Tobias; Winkler, Michael
7
2022
A unifying approach toward boundedness in Keller-Segel type cross-diffusion systems via conditional \(L^{\infty}\) estimates for taxis gradients. Zbl 1525.35050
Winkler, Michael
6
2022
Radial solutions to a chemotaxis-consumption model involving prescribed signal concentrations on the boundary. Zbl 1481.35023
Lankeit, Johannes; Winkler, Michael
5
2022
Approaching logarithmic singularities in quasilinear chemotaxis-consumption systems with signal-dependent sensitivities. Zbl 1503.35051
Winkler, Michael
5
2022
Nonnegative solutions to a doubly degenerate nutrient taxis system. Zbl 1483.35127
Li, Genglin; Winkler, Michael
5
2022
A double critical mass phenomenon in a no-flux-Dirichlet Keller-Segel system. Zbl 1494.35047
Fuhrmann, Jan; Lankeit, Johannes; Winkler, Michael
4
2022
Global weak solutions to a chemotaxis-Navier-Stokes system in \(\mathbb{R}^3 \). Zbl 1498.92032
Kang, Kyungkeun; Lee, Jihoon; Winkler, Michael
4
2022
Small-signal solutions of a two-dimensional doubly degenerate taxis system modeling bacterial motion in nutrient-poor environments. Zbl 1479.35224
Winkler, Michael
3
2022
A smallness condition ensuring boundedness in a two-dimensional chemotaxis-Navier-Stokes system involving Dirichlet boundary conditions for the signal. Zbl 1491.92033
Wang, Yu Lan; Winkler, Michael; Xiang, Zhao Yin
3
2022
Taxis-driven persistent localization in a degenerate Keller-Segel system. Zbl 1505.35045
Stevens, Angela; Winkler, Michael
1
2022
Global existence in reaction-diffusion systems with mass control under relaxed assumptions merely referring to cross-absorptive effects. Zbl 1485.35266
Lankeit, Johannes; Winkler, Michael
1
2022
Can rotational fluxes impede the tendency toward spatial homogeneity in nutrient taxis(-Stokes) systems? Zbl 1483.35294
Winkler, Michael
46
2021
Global solvability in a three-dimensional Keller-Segel-Stokes system involving arbitrary superlinear logistic degradation. Zbl 1466.92020
Wang, Yulan; Winkler, Michael; Xiang, Zhaoyin
27
2021
Local energy estimates and global solvability in a three-dimensional chemotaxis-fluid system with prescribed signal on the boundary. Zbl 1470.92044
Wang, Yulan; Winkler, Michael; Xiang, Zhaoyin
27
2021
Conditional estimates in three-dimensional chemotaxis-Stokes systems and application to a Keller-Segel-fluid model accounting for gradient-dependent flux limitation. Zbl 1460.35358
Winkler, Michael
24
2021
Suppressing blow-up by gradient-dependent flux limitation in a planar Keller-Segel-Navier-Stokes system. Zbl 1466.35060
Winkler, Michael
21
2021
Critical mass for infinite-time blow-up in a haptotaxis system with nonlinear zero-order interaction. Zbl 1458.35076
Tao, Youshan; Winkler, Michael
21
2021
A fully cross-diffusive two-component evolution system: existence and qualitative analysis via entropy-consistent thin-film-type approximation. Zbl 1471.35278
Tao, Youshan; Winkler, Michael
20
2021
Global smooth solutions in a two-dimensional cross-diffusion system modeling propagation of urban crime. Zbl 1479.35120
Tao, Youshan; Winkler, Michael
18
2021
Global weak solutions in a three-dimensional Keller-Segel-Navier-Stokes system with gradient-dependent flux limitation. Zbl 1468.35220
Winkler, Michael
17
2021
Boundedness in a three-dimensional Keller-Segel-Stokes system with subcritical sensitivity. Zbl 1453.35115
Winkler, Michael
14
2021
Taxis-driven formation of singular hotspots in a May-Nowak-type model for virus infection. Zbl 1461.35201
Tao, Youshan; Winkler, Michael
13
2021
A critical virus production rate for efficiency of oncolytic virotherapy. Zbl 1526.92012
Tao, Youshan; Winkler, Michael
12
2021
Does spatial homogeneity ultimately prevail in nutrient taxis systems? A paradigm for structure support by rapid diffusion decay in an autonomous parabolic flow. Zbl 1455.35026
Winkler, Michael
8
2021
Immediate regularization of measure-type population densities in a two-dimensional chemotaxis system with signal consumption. Zbl 1464.35051
Wang, Yulan; Winkler, Michael; Xiang, Zhaoyin
8
2021
Small-density solutions in Keller-Segel systems involving rapidly decaying diffusivities. Zbl 1471.35064
Ding, Mengyao; Winkler, Michael
8
2021
Does indirectness of signal production reduce the explosion-supporting potential in chemotaxis-haptotaxis systems? Global classical solvability in a class of models for cancer invasion (and more). Zbl 1503.35243
Surulescu, Christina; Winkler, Michael
3
2021
The dampening role of large repulsive convection in a chemotaxis system modeling tumor angiogenesis. Zbl 1465.35378
Tao, Youshan; Winkler, Michael
1
2021
Small-mass solutions in the two-dimensional Keller-Segel system coupled to the Navier-Stokes equations. Zbl 1441.35079
Winkler, Michael
57
2020
The role of superlinear damping in the construction of solutions to drift-diffusion problems with initial data in \(L^{1}\). Zbl 1419.35099
Winkler, Michael
50
2020
Facing low regularity in chemotaxis systems. Zbl 1436.92004
Lankeit, Johannes; Winkler, Michael
42
2020
Attractiveness of constant states in logistic-type Keller-Segel systems involving subquadratic growth restrictions. Zbl 1465.35065
Winkler, Michael
37
2020
Global classical solutions to a doubly haptotactic cross-diffusion system modeling oncolytic virotherapy. Zbl 1430.35132
Tao, Youshan; Winkler, Michael
37
2020
A critical virus production rate for blow-up suppression in a haptotaxis model for oncolytic virotherapy. Zbl 1442.35480
Tao, Youshan; Winkler, Michael
31
2020
Large time behavior in a predator-prey system with indirect pursuit-evasion interaction. Zbl 1453.92250
Li, Genglin; Tao, Youshan; Winkler, Michael
21
2020
Blow-up profiles and life beyond blow-up in the fully parabolic Keller-Segel system. Zbl 1459.92019
Winkler, Michael
18
2020
Can simultaneous density-determined enhancement of diffusion and cross-diffusion foster boundedness in Keller-Segel type systems involving signal-dependent motilities? Zbl 1454.35224
Winkler, Michael
17
2020
Relaxation by nonlinear diffusion enhancement in a two-dimensional cross-diffusion model for urban crime propagation. Zbl 1451.35226
Rodríguez, Nancy; Winkler, Michael
15
2020
Mathematical analysis of two competing cancer cell migration mechanisms driven by interstitial fluid flow. Zbl 1442.35469
Evje, Steinar; Winkler, Michael
8
2020
Single-point blow-up in the Cauchy problem for the higher-dimensional Keller-Segel system. Zbl 1452.35227
Winkler, Michael
7
2020
Boundedness in a two-dimensional Keller-Segel-Navier-Stokes system involving a rapidly diffusing repulsive signal. Zbl 1432.92021
Winkler, Michael
6
2020
Chemotaxis systems in complex frameworks: pattern formation, qualitative analysis and blowup prevention. Zbl 1451.92062
Bellomo, N.; Tao, Y.; Winkler, M.
5
2020
Refined regularity and stabilization properties in a degenerate haptotaxis system. Zbl 1437.35434
Winkler, Michael; Stinner, Christian
4
2020
Can fluid interaction influence the critical mass for taxis-driven blow-up in bounded planar domains? Zbl 1464.35046
Winkler, Michael
3
2020
A three-dimensional Keller-Segel-Navier-Stokes system with logistic source: global weak solutions and asymptotic stabilization. Zbl 1408.35132
Winkler, Michael
123
2019
Occurrence vs. absence of taxis-driven instabilities in a May-Nowak model for virus infection. Zbl 1428.35615
Bellomo, Nicola; Painter, Kevin J.; Tao, Youshan; Winkler, Michael
54
2019
Global classical solvability and generic infinite-time blow-up in quasilinear Keller-Segel systems with bounded sensitivities. Zbl 1415.35052
Winkler, Michael
43
2019
Large time behavior in a forager-exploiter model with different taxis strategies for two groups in search of food. Zbl 1425.35200
Tao, Youshan; Winkler, Michael
37
2019
Global generalized solutions to a multi-dimensional doubly tactic resource consumption model accounting for social interactions. Zbl 1428.35612
Winkler, Michael
36
2019
Blow-up profiles for the parabolic-elliptic Keller-Segel system in dimensions \({n\geq 3}\). Zbl 1411.35140
Souplet, Philippe; Winkler, Michael
31
2019
Global solvability and stabilization in a two-dimensional cross-diffusion system modeling urban crime propagation. Zbl 1428.35611
Winkler, Michael
28
2019
How unstable is spatial homogeneity in Keller-Segel systems? A new critical mass phenomenon in two- and higher-dimensional parabolic-elliptic cases. Zbl 1416.35049
Winkler, Michael
24
2019
The fast signal diffusion limit in Keller-Segel(-fluid) systems. Zbl 1426.92009
Wang, Yulan; Winkler, Michael; Xiang, Zhaoyin
23
2019
A chemotaxis-haptotaxis system with haptoattractant remodeling: boundedness enforced by mild saturation of signal production. Zbl 1412.35181
Tao, Youshan; Winkler, Michael
21
2019
Boundedness in a chemotaxis-May-Nowak model for virus dynamics with mildly saturated chemotactic sensitivity. Zbl 1423.35172
Winkler, Michael
19
2019
Global smooth solvability of a parabolic-elliptic nutrient taxis system in domains of arbitrary dimension. Zbl 1411.35146
Tao, Youshan; Winkler, Michael
19
2019
How strong singularities can be regularized by logistic degradation in the Keller-Segel system? Zbl 1437.35004
Winkler, Michael
15
2019
Does repulsion-type directional preference in chemotactic migration continue to regularize Keller-Segel systems when coupled to the Navier-Stokes equations? Zbl 1429.92042
Winkler, Michael
11
2019
Boundedness and stabilization in a population model with cross-diffusion for one species. Zbl 1439.35275
Tao, Youshan; Winkler, Michael
9
2019
A Gagliardo-Nirenberg-type inequality and its applications to decay estimates for solutions of a degenerate parabolic equation. Zbl 1428.26026
Fila, Marek; Winkler, Michael
6
2019
Structure-driven fix-and-propagate heuristics for mixed integer programming. Zbl 1432.90091
Gamrath, Gerald; Berthold, Timo; Heinz, Stefan; Winkler, Michael
5
2019
Instantaneous regularization of distributions from \((C^0)^\star \times L^2\) in the one-dimensional parabolic Keller-Segel system. Zbl 1428.35632
Winkler, Michael
5
2019
Migration-driven benefit in a two-species nutrient taxis system. Zbl 1425.92033
Krzyżanowski, Piotr; Winkler, Michael; Wrzosek, Dariusz
3
2019
Counterintuitive dependence of temporal asymptotics on initial decay in a nonlocal degenerate parabolic equation arising in game theory. Zbl 1433.35181
Lankeit, Johannes; Winkler, Michael
1
2019
Finite-time blow-up in low-dimensional Keller-Segel systems with logistic-type superlinear degradation. Zbl 1395.35048
Winkler, Michael
137
2018
Global classical solutions in a two-dimensional chemotaxis-Navier-Stokes system with subcritical sensitivity. Zbl 1395.92024
Wang, Yulan; Winkler, Michael; Xiang, Zhaoyin
86
2018
A critical blow-up exponent in a chemotaxis system with nonlinear signal production. Zbl 1391.35240
Winkler, Michael
82
2018
Global existence and stabilization in a degenerate chemotaxis-Stokes system with mildly strong diffusion enhancement. Zbl 1395.35038
Winkler, Michael
68
2018
Does fluid interaction affect regularity in the three-dimensional Keller-Segel system with saturated sensitivity? Zbl 1409.35047
Winkler, Michael
52
2018
Renormalized radial large-data solutions to the higher-dimensional Keller-Segel system with singular sensitivity and signal absorption. Zbl 1378.35165
Winkler, Michael
51
2018
Global mass-preserving solutions in a two-dimensional chemotaxis-Stokes system with rotational flux components. Zbl 1404.35464
Winkler, Michael
50
2018
Global classical solvability and stabilization in a two-dimensional chemotaxis-Navier-Stokes system modeling coral fertilization. Zbl 1392.35042
Espejo, Elio; Winkler, Michael
48
2018
The small-convection limit in a two-dimensional chemotaxis-Navier-Stokes system. Zbl 1397.35322
Wang, Yulan; Winkler, Michael; Xiang, Zhaoyin
40
2018
...and 130 more Documents
all top 5

Cited by 1,788 Authors

181 Winkler, Michael
79 Mu, Chunlai
58 Tao, Youshan
53 Zheng, Jiashan
52 Zheng, Pan
42 Wang, Liangchen
40 Yokota, Tomomi
37 Liu, Bin
37 Wang, Zhian
36 Lankeit, Johannes
34 Zheng, Sining
33 Ren, Guoqiang
32 Wang, Yifu
29 Xiang, Zhaoyin
26 Jin, Haiyang
24 Shen, Wenxian
23 Kang, Kyungkeun
23 Lin, Ke
23 Viglialoro, Giuseppe
23 Xiang, Tian
22 Wang, Qi
21 Fujie, Kentaro
21 Wang, Wei
20 Fila, Marek
20 Liu, Ji
20 Mizukami, Masaaki
19 Liu, Zuhan
18 Negreanu, Mihaela
17 Hu, Xuegang
17 Liu, Changchun
17 Stinner, Christian
17 Wang, Yulan
16 Black, Tobias
16 Elaiw, Ahmed M.
16 Fuest, Mario
16 Jiang, Jie
16 Qiu, Shuyan
16 Surulescu, Christina
16 Yin, Jingxue
16 Zhou, Ling
15 Bellomo, Nicola
15 Cao, Xinru
15 Dai, Feng
15 Guo, Shangjiang
15 Jin, Chunhua
15 Tello, José Ignacio
15 Tu, Xinyu
15 Zhang, Qingshan
14 Guillén González, Francisco M.
14 Ke, Yuanyuan
14 Li, Zhongping
14 Yanagida, Eiji
14 Zhang, Qian
13 Painter, Kevin J.
13 Wang, Jianping
13 Wang, Yilong
13 Zhao, Jie
12 Hillen, Thomas
12 Ishida, Sachiko
12 Laurençot, Philippe
12 Lee, Jihoon
12 Li, Xie
12 Li, Yuxiang
11 Cieślak, Tomasz
11 Li, Dan
11 Pan, Xu
11 Rueda-Gómez, Diego Armando
11 Salako, Rachidi Bolaji
11 Shangerganesh, Lingeshwaran
11 Villamizar-Roa, Elder Jesús
11 Yoon, Changwook
10 Ahn, Jaewook
10 Chiyo, Yutaro
10 Fu, Shengmao
10 Li, Jing
10 Lyu, Wenbin
10 Morales-Rodrigo, Cristian
10 Souplet, Philippe
10 Zhou, Jun
9 Baghaei, Khadijeh
9 Ding, Mengyao
9 Li, Bin
9 Li, Yan
9 Liu, Zhengrong
9 Shi, Junping
9 Vargas, Antonio Manuel
9 Wang, Mingxin
9 Xie, Li
9 Zhao, Xiangdong
8 Alshamrani, Noura H.
8 Carrillo de la Plata, José Antonio
8 Frassu, Silvia
8 Lei, Yuzhu
8 Ma, Manjun
8 Marras, Monica
8 Rodríguez-Bellido, Maria Angeles
8 Suárez, Antonio
8 Tanaka, Yuya
8 Tao, Xueyan
8 Vernier-Piro, Stella
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Cited in 235 Serials

226 Journal of Differential Equations
176 Journal of Mathematical Analysis and Applications
127 Discrete and Continuous Dynamical Systems. Series B
117 Nonlinear Analysis. Real World Applications
113 ZAMP. Zeitschrift für angewandte Mathematik und Physik
96 M\(^3\)AS. Mathematical Models & Methods in Applied Sciences
69 Discrete and Continuous Dynamical Systems
68 Nonlinear Analysis. Theory, Methods & Applications. Series A: Theory and Methods
62 Mathematical Methods in the Applied Sciences
58 Applied Mathematics Letters
41 Nonlinearity
37 Computers & Mathematics with Applications
35 Acta Applicandae Mathematicae
35 SIAM Journal on Mathematical Analysis
30 Boundary Value Problems
29 Communications on Pure and Applied Analysis
28 Applicable Analysis
28 Journal of Mathematical Physics
28 Calculus of Variations and Partial Differential Equations
26 Discrete and Continuous Dynamical Systems. Series S
20 Proceedings of the Royal Society of Edinburgh. Section A. Mathematics
20 Journal of Evolution Equations
19 Journal of Mathematical Biology
19 Journal of Dynamics and Differential Equations
17 NoDEA. Nonlinear Differential Equations and Applications
15 Journal of Functional Analysis
15 Mathematical Biosciences and Engineering
14 Communications in Partial Differential Equations
13 Electronic Research Archive
12 European Journal of Applied Mathematics
11 Annales de l’Institut Henri Poincaré. Analyse Non Linéaire
11 SIAM Journal on Applied Mathematics
11 Communications in Nonlinear Science and Numerical Simulation
11 Comptes Rendus. Mathématique. Académie des Sciences, Paris
10 Applied Mathematics and Computation
10 Mathematische Nachrichten
10 Journal of Nonlinear Science
10 Journal of Mathematical Fluid Mechanics
10 Journal of Theoretical Biology
10 Advances in Nonlinear Analysis
9 Applied Mathematics and Optimization
9 Mathematische Annalen
9 Journal de Mathématiques Pures et Appliquées. Neuvième Série
9 Electronic Journal of Differential Equations (EJDE)
9 Acta Mathematica Scientia. Series B. (English Edition)
9 International Journal of Biomathematics
8 Bulletin of Mathematical Biology
8 Advances in Difference Equations
7 Physica D
7 ZAMM. Zeitschrift für Angewandte Mathematik und Mechanik
7 Bulletin of the Malaysian Mathematical Sciences Society. Second Series
6 Archive for Rational Mechanics and Analysis
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6 Annali di Matematica Pura ed Applicata. Serie Quarta
6 Proceedings of the American Mathematical Society
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5 Results in Mathematics
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5 Acta Mathematica Sinica. English Series
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5 Journal of Elliptic and Parabolic Equations
5 SN Partial Differential Equations and Applications
4 Communications in Mathematical Physics
4 Computer Methods in Applied Mechanics and Engineering
4 Physica A
4 Chaos, Solitons and Fractals
4 Indiana University Mathematics Journal
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4 Japan Journal of Industrial and Applied Mathematics
4 International Journal of Bifurcation and Chaos in Applied Sciences and Engineering
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4 Journal of Dynamical and Control Systems
4 SIAM Journal on Applied Dynamical Systems
4 Analysis and Applications (Singapore)
4 Open Mathematics
4 Mathematics in Engineering
3 Journal d’Analyse Mathématique
3 Archiv der Mathematik
3 Bulletin of the London Mathematical Society
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3 SIAM Journal on Numerical Analysis
3 Acta Mathematicae Applicatae Sinica. English Series
3 Asymptotic Analysis
3 Applied Mathematics. Series B (English Edition)
3 Engineering Analysis with Boundary Elements
3 Abstract and Applied Analysis
3 Journal of the European Mathematical Society (JEMS)
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3 Journal of Applied Mathematics
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