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Winkler, Michael

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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
External Links: MGP · ResearchGate · dblp · GND
Documents Indexed: 195 Publications since 2001
all top 5

Serials

19 Journal of Differential Equations
11 M\(^3\)AS. Mathematical Models & Methods in Applied Sciences
10 SIAM Journal on Mathematical Analysis
9 Nonlinearity
8 Nonlinear Analysis. Theory, Methods & Applications. Series A: Theory and Methods
7 Mathematical Methods in the Applied Sciences
7 ZAMP. Zeitschrift für angewandte Mathematik und Physik
7 Communications in Partial Differential Equations
6 Discrete and Continuous Dynamical Systems
5 Journal of Mathematical Analysis and Applications
5 Mathematische Annalen
5 NoDEA. Nonlinear Differential Equations and Applications
5 Advances in Differential Equations
4 Indiana University Mathematics Journal
4 Journal of Dynamics and Differential Equations
4 Nonlinear Analysis. Real World Applications
3 Archive for Rational Mechanics and Analysis
3 Journal of Mathematical Biology
3 Annales de l’Institut Henri Poincaré. Analyse Non Linéaire
3 European Journal of Applied Mathematics
3 Proceedings of the Royal Society of Edinburgh. Section A. Mathematics
3 Journal of Evolution Equations
3 Discrete and Continuous Dynamical Systems. Series B
3 Communications on Pure and Applied Analysis
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 Mathematische Nachrichten
2 Transactions of the American Mathematical Society
2 Acta Applicandae Mathematicae
2 Applied Mathematics Letters
2 Journal de Mathématiques Pures et Appliquées. Neuvième Série
2 Journal of Nonlinear Science
2 Calculus of Variations and Partial Differential Equations
2 Journal of the European Mathematical Society (JEMS)
2 Annali della Scuola Normale Superiore di Pisa. Classe di Scienze. Serie V
2 Advances in Nonlinear Analysis
1 Communications in Mathematical Physics
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 Proceedings of the London Mathematical Society. Third Series
1 Rendiconti dell’Istituto di Matematica dell’Università di Trieste
1 Zeitschrift für Analysis und ihre Anwendungen
1 Asymptotic Analysis
1 IMRN. International Mathematics Research Notices
1 Acta Mathematica Universitatis Comenianae. New Series
1 SIAM Journal on Applied Mathematics
1 INFORMS Journal on Computing
1 Journal of Mathematical Fluid Mechanics
1 Advanced Nonlinear Studies
1 Communications in Mathematical Sciences
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 Transactions of the American Mathematical Society. Series B

Publications by Year

Citations contained in zbMATH Open

173 Publications have been cited 7,450 times in 1,329 Documents Cited by Year
Aggregation vs. global diffusive behavior in the higher-dimensional Keller-Segel model. Zbl 1190.92004
Winkler, Michael
441
2010
Boundedness vs. blow-up in a chemotaxis system. Zbl 1085.35065
Horstmann, Dirk; Winkler, Michael
416
2005
Finite-time blow-up in the higher-dimensional parabolic-parabolic Keller-Segel system. Zbl 1326.35053
Winkler, Michael
389
2013
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.
373
2015
Boundedness in a quasilinear parabolic-parabolic Keller-Segel system with subcritical sensitivity. Zbl 1382.35127
Tao, Youshan; Winkler, Michael
311
2012
Boundedness in the higher-dimensional parabolic-parabolic chemotaxis system with logistic source. Zbl 1290.35139
Winkler, Michael
307
2010
A chemotaxis system with logistic source. Zbl 1121.37068
Tello, J. Ignacio; Winkler, Michael
254
2007
Global large-data solutions in a chemotaxis-(Navier-)Stokes system modeling cellular swimming in fluid drops. Zbl 1236.35192
Winkler, Michael
231
2012
Stabilization in a two-dimensional chemotaxis-Navier-Stokes system. Zbl 1293.35220
Winkler, Michael
163
2014
Does a volume-filling effect always prevent chemotactic collapse? Zbl 1182.35220
Winkler, Michael
146
2010
Blow-up in a higher-dimensional chemotaxis system despite logistic growth restriction. Zbl 1241.35028
Winkler, Michael
145
2011
Global asymptotic stability of constant equilibria in a fully parabolic chemotaxis system with strong logistic dampening. Zbl 1293.35048
Winkler, Michael
137
2014
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
134
2012
Global weak solutions in a three-dimensional chemotaxis-Navier-Stokes system. Zbl 1351.35239
Winkler, Michael
123
2016
Boundedness and finite-time collapse in a chemotaxis system with volume-filling effect. Zbl 1183.92012
Winkler, Michael; Djie, Kianhwa C.
119
2010
Finite-time blow-up in a quasilinear system of chemotaxis. Zbl 1136.92006
Cieślak, Tomasz; Winkler, Michael
115
2008
Boundedness and large time behavior in a three-dimensional chemotaxis-Stokes system with nonlinear diffusion and general sensitivity. Zbl 1333.35104
Winkler, Michael
115
2015
Locally bounded global solutions in a three-dimensional chemotaxis-Stokes system with nonlinear diffusion. Zbl 1283.35154
Tao, Youshan; Winkler, Michael
114
2013
Chemotaxis with logistic source: very weak global solutions and their boundedness properties. Zbl 1147.92005
Winkler, Michael
112
2008
How far can chemotactic cross-diffusion enforce exceeding carrying capacities? Zbl 1311.35040
Winkler, Michael
108
2014
Global weak solutions in a PDE-ODE system modeling multiscale cancer cell invasion. Zbl 1301.35189
Stinner, Christian; Surulescu, Christina; Winkler, Michael
104
2014
A chemotaxis-haptotaxis model: the roles of nonlinear diffusion and logistic source. Zbl 1259.35210
Tao, Youshan; Winkler, Michael
103
2011
Equilibration in a fully parabolic two-species chemotaxis system with competitive kinetics. Zbl 1345.35117
Bai, Xueli; Winkler, Michael
103
2016
Global existence and boundedness in a Keller-Segel-Stokes model with arbitrary porous medium diffusion. Zbl 1276.35105
Tao, Youshan; Winkler, Michael
101
2012
Absence of collapse in a parabolic chemotaxis system with signal-dependent sensitivity. Zbl 1205.35037
Winkler, Michael
100
2010
Boundedness and decay enforced by quadratic degradation in a three-dimensional chemotaxis-fluid system. Zbl 1328.35084
Tao, Youshan; Winkler, Michael
100
2015
Global solutions in a fully parabolic chemotaxis system with singular sensitivity. Zbl 1291.92018
Winkler, Michael
89
2011
How far do chemotaxis-driven forces influence regularity in the Navier-Stokes system? Zbl 1356.35071
Winkler, Michael
88
2017
Large time behavior in a multidimensional chemotaxis-haptotaxis model with slow signal diffusion. Zbl 1328.35103
Tao, Youshan; Winkler, Michael
80
2015
Stabilization in a two-species chemotaxis system with a logistic source. Zbl 1260.92014
Tello, J. I.; Winkler, M.
75
2012
Competitive exclusion in a two-species chemotaxis model. Zbl 1319.92050
Stinner, C.; Tello, J. I.; Winkler, M.
70
2014
Blow-up prevention by quadratic degradation in a two-dimensional Keller-Segel-Navier-Stokes system. Zbl 1356.35054
Tao, Youshan; Winkler, Michael
65
2016
Large-data global generalized solutions in a chemotaxis system with tensor-valued sensitivities. Zbl 1330.35202
Winkler, Michael
63
2015
Stabilization in a chemotaxis model for tumor invasion. Zbl 1322.35059
Yokota, Tomomi; Winkler, Michael; Ito, Akio; Fujie, Kentarou
62
2016
Global weak solutions in a chemotaxis system with large singular sensitivity. Zbl 1268.35072
Stinner, Christian; Winkler, Michael
61
2011
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
61
2014
Finite-time blow-up in low-dimensional Keller-Segel systems with logistic-type superlinear degradation. Zbl 1395.35048
Winkler, Michael
60
2018
Convergence of a cancer invasion model to a logistic chemotaxis model. Zbl 1263.35204
Hillen, Thomas; Painter, Kevin J.; Winkler, Michael
58
2013
A critical exponent in a degenerate parabolic equation. Zbl 1007.35043
Winkler, Michael
57
2002
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
53
2015
Critical mass for infinite-time aggregation in a chemotaxis model with indirect signal production. Zbl 1406.35068
Tao, Youshan; Winkler, Michael
49
2017
A three-dimensional Keller-Segel-Navier-Stokes system with logistic source: global weak solutions and asymptotic stabilization. Zbl 1408.35132
Winkler, Michael
49
2019
Global classical solutions in a two-dimensional chemotaxis-Navier-Stokes system with subcritical sensitivity. Zbl 1395.92024
Wang, Yulan; Winkler, Michael; Xiang, Zhaoyin
49
2018
A fourth-order parabolic equation modeling epitaxial thin film growth. Zbl 1029.35110
King, Belinda B.; Stein, Oliver; Winkler, Michael
47
2003
Dominance of chemotaxis in a chemotaxis-haptotaxis model. Zbl 1293.35047
Tao, Youshan; Winkler, Michael
47
2014
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
45
2016
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
43
2017
Boundedness and stabilization in a multi-dimensional chemotaxis-haptotaxis model. Zbl 1312.35171
Tao, Youshan; Winkler, Michael
40
2014
Emergence of large population densities despite logistic growth restrictions in fully parabolic chemotaxis systems. Zbl 1377.35158
Winkler, Michael
39
2017
Boundedness vs. blow-up in a two-species chemotaxis system with two chemicals. Zbl 1329.35075
Winkler, Michael; Tao, Youshan
38
2015
A degenerate chemotaxis system with flux limitation: maximally extended solutions and absence of gradient blow-up. Zbl 1430.35166
Bellomo, Nicola; Winkler, Michael
36
2017
A critical blow-up exponent in a chemotaxis system with nonlinear signal production. Zbl 1391.35240
Winkler, Michael
36
2018
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
35
2014
Boundedness of solutions to parabolic-elliptic Keller-Segel systems with signal-dependent sensitivity. Zbl 1329.35011
Fujie, Kentarou; Winkler, Michael; Yokota, Tomomi
35
2015
Effects of signal-dependent motilities in a Keller-Segel-type reaction-diffusion system. Zbl 06761738
Tao, Youshan; Winkler, Michael
32
2017
Finite-time blow-up in a degenerate chemotaxis system with flux limitation. Zbl 1367.35044
Bellomo, Nicola; Winkler, Michael
31
2017
Global existence and stabilization in a degenerate chemotaxis-Stokes system with mildly strong diffusion enhancement. Zbl 1395.35038
Winkler, Michael
31
2018
Persistence of mass in a chemotaxis system with logistic source. Zbl 1321.35084
Tao, Youshan; Winkler, Michael
30
2015
Does fluid interaction affect regularity in the three-dimensional Keller-Segel system with saturated sensitivity? Zbl 1409.35047
Winkler, Michael
28
2018
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
27
2012
Global classical solvability and stabilization in a two-dimensional chemotaxis-Navier-Stokes system modeling coral fertilization. Zbl 1392.35042
Espejo, Elio; Winkler, Michael
27
2018
Asymptotic homogenization in a three-dimensional nutrient taxis system involving food-supported proliferation. Zbl 1370.35059
Winkler, Michael
23
2017
The small-convection limit in a two-dimensional chemotaxis-Navier-Stokes system. Zbl 1397.35322
Wang, Yulan; Winkler, Michael; Xiang, Zhaoyin
23
2018
Renormalized radial large-data solutions to the higher-dimensional Keller-Segel system with singular sensitivity and signal absorption. Zbl 1378.35165
Winkler, Michael
22
2018
Convergence rate for a parabolic equation with supercritical nonlinearity. Zbl 1087.35049
Fila, Marek; Winkler, Michael; Yanagida, Eiji
20
2005
Global mass-preserving solutions in a two-dimensional chemotaxis-Stokes system with rotational flux components. Zbl 1404.35464
Winkler, Michael
20
2018
Global existence and slow grow-up in a quasilinear Keller-Segel system with exponentially decaying diffusivity. Zbl 1382.35048
Winkler, Michael
20
2017
Grow up rate of solutions for a supercritical semilinear diffusion equation. Zbl 1072.35042
Fila, Marek; Winkler, Michael; Yanagida, Eiji
18
2004
Optimal lower bound of the grow-up rate for a supercritical parabolic equation. Zbl 1102.35017
Fila, Marek; King, John R.; Winkler, Michael; Yanagida, Eiji
18
2006
Singularity formation in chemotaxis systems with volume-filling effect. Zbl 1255.35213
Wang, Zhi-An; Winkler, Michael; Wrzosek, Dariusz
18
2011
Global classical solvability and generic infinite-time blow-up in quasilinear Keller-Segel systems with bounded sensitivities. Zbl 1415.35052
Winkler, Michael
18
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
18
2019
Initial blow-up rates and universal bounds for nonlinear heat equations. Zbl 1044.35027
Quittner, Pavol; Souplet, Philippe; Winkler, Michael
17
2004
Approaching the ideal free distribution in two-species competition models with fitness-dependent dispersal. Zbl 1295.35098
Lou, Yuan; Tao, Youshan; Winkler, Michael
17
2014
Global existence and uniform boundedness of smooth solutions to a cross-diffusion system with equal diffusion rates. Zbl 1332.35172
Lou, Yuan; Winkler, Michael
17
2015
Global solutions in higher dimensions to a fourth-order parabolic equation modeling epitaxial thin-film growth. Zbl 1258.35192
Winkler, Michael
17
2011
Stabilization in a higher-dimensional quasilinear Keller-Segel system with exponentially decaying diffusivity and subcritical sensitivity. Zbl 1367.35033
Cieślak, Tomasz; Winkler, Michael
16
2017
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
16
2017
Global generalized solutions to a multi-dimensional doubly tactic resource consumption model accounting for social interactions. Zbl 1428.35612
Winkler, Michael
16
2019
Singular structure formation in a degenerate haptotaxis model involving myopic diffusion. Zbl 1391.35065
Winkler, Michael
15
2018
Rate of convergence to Barenblatt profiles for the fast diffusion equation. Zbl 1315.76032
Fila, Marek; Vázquez, Juan Luis; Winkler, Michael; Yanagida, Eiji
15
2012
Stabilization in the logarithmic Keller-Segel system. Zbl 1391.35066
Winkler, Michael; Yokota, Tomomi
15
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
14
2020
A chemotaxis-haptotaxis system with haptoattractant remodeling: boundedness enforced by mild saturation of signal production. Zbl 1412.35181
Tao, Youshan; Winkler, Michael
14
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
13
2019
Large time behavior of solutions to degenerate parabolic equations with absorption. Zbl 0980.35077
Winkler, Michael
12
2001
Nonuniqueness in the quenching problem. Zbl 1132.35049
Winkler, Michael
12
2007
Blow-up profiles for the parabolic-elliptic Keller-Segel system in dimensions \({n\geq 3}\). Zbl 1411.35140
Souplet, Philippe; Winkler, Michael
12
2019
Global classical solutions to a doubly haptotactic cross-diffusion system modeling oncolytic virotherapy. Zbl 1430.35132
Tao, Youshan; Winkler, Michael
11
2020
A critical virus production rate for blow-up suppression in a haptotaxis model for oncolytic virotherapy. Zbl 1442.35480
Tao, Youshan; Winkler, Michael
11
2020
Amorphous molecular beam epitaxy: global solutions and absorbing sets. Zbl 1120.35045
Stein, O.; Winkler, M.
10
2005
Well-posedness and qualitative properties of a dynamical model for the ideal free distribution. Zbl 1317.35116
Cosner, Chris; Winkler, Michael
10
2014
Chemotactic cross-diffusion in complex frameworks. Zbl 06646361
Winkler, M.
10
2016
Global weak solutions to a strongly degenerate haptotaxis model. Zbl 1390.35164
Winkler, Michael; Surulescu, Christina
10
2017
The fast signal diffusion limit in Keller-Segel(-fluid) systems. Zbl 1426.92009
Wang, Yulan; Winkler, Michael; Xiang, Zhaoyin
10
2019
Convergence to a singular steady state of a parabolic equation with gradient blow-up. Zbl 1125.35367
Fila, Marek; Taskinen, Jari; Winkler, Michael
9
2007
Slow convergence to zero for a parabolic equation with a supercritical nonlinearity. Zbl 1263.35138
Fila, Marek; Winkler, Michael; Yanagida, Eiji
9
2008
Reduction of critical mass in a chemotaxis system by external application of chemoattractant. Zbl 1295.35136
Tello, José Ignacio; Winkler, Michael
9
2013
Anisotropic diffusion in oriented environments can lead to singularity formation. Zbl 1273.35165
Hillen, Thomas; Painter, Kevin J.; Winkler, Michael
9
2013
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
9
2019
Boundedness in a three-dimensional Keller-Segel-Stokes system with subcritical sensitivity. Zbl 1453.35115
Winkler, Michael
4
2021
Critical mass for infinite-time blow-up in a haptotaxis system with nonlinear zero-order interaction. Zbl 1458.35076
Tao, Youshan; Winkler, Michael
2
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
2
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
1
2021
Global weak solutions in a three-dimensional Keller-Segel-Navier-Stokes system with gradient-dependent flux limitation. Zbl 1468.35220
Winkler, Michael
1
2021
Suppressing blow-up by gradient-dependent flux limitation in a planar Keller-Segel-Navier-Stokes system. Zbl 1466.35060
Winkler, Michael
1
2021
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
14
2020
Global classical solutions to a doubly haptotactic cross-diffusion system modeling oncolytic virotherapy. Zbl 1430.35132
Tao, Youshan; Winkler, Michael
11
2020
A critical virus production rate for blow-up suppression in a haptotaxis model for oncolytic virotherapy. Zbl 1442.35480
Tao, Youshan; Winkler, Michael
11
2020
Facing low regularity in chemotaxis systems. Zbl 1436.92004
Lankeit, Johannes; Winkler, Michael
8
2020
Small-mass solutions in the two-dimensional Keller-Segel system coupled to the Navier-Stokes equations. Zbl 1441.35079
Winkler, Michael
8
2020
Mathematical analysis of two competing cancer cell migration mechanisms driven by interstitial fluid flow. Zbl 1442.35469
Evje, Steinar; Winkler, Michael
3
2020
Attractiveness of constant states in logistic-type Keller-Segel systems involving subquadratic growth restrictions. Zbl 1465.35065
Winkler, Michael
3
2020
Boundedness in a two-dimensional Keller-Segel-Navier-Stokes system involving a rapidly diffusing repulsive signal. Zbl 1432.92021
Winkler, Michael
2
2020
Large time behavior in a predator-prey system with indirect pursuit-evasion interaction. Zbl 1453.92250
Li, Genglin; Tao, Youshan; Winkler, Michael
2
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
2
2020
Refined regularity and stabilization properties in a degenerate haptotaxis system. Zbl 1437.35434
Winkler, Michael; Stinner, Christian
1
2020
Blow-up profiles and life beyond blow-up in the fully parabolic Keller-Segel system. Zbl 1459.92019
Winkler, Michael
1
2020
A three-dimensional Keller-Segel-Navier-Stokes system with logistic source: global weak solutions and asymptotic stabilization. Zbl 1408.35132
Winkler, Michael
49
2019
Global classical solvability and generic infinite-time blow-up in quasilinear Keller-Segel systems with bounded sensitivities. Zbl 1415.35052
Winkler, Michael
18
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
18
2019
Global generalized solutions to a multi-dimensional doubly tactic resource consumption model accounting for social interactions. Zbl 1428.35612
Winkler, Michael
16
2019
A chemotaxis-haptotaxis system with haptoattractant remodeling: boundedness enforced by mild saturation of signal production. Zbl 1412.35181
Tao, Youshan; Winkler, Michael
14
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
13
2019
Blow-up profiles for the parabolic-elliptic Keller-Segel system in dimensions \({n\geq 3}\). Zbl 1411.35140
Souplet, Philippe; Winkler, Michael
12
2019
The fast signal diffusion limit in Keller-Segel(-fluid) systems. Zbl 1426.92009
Wang, Yulan; Winkler, Michael; Xiang, Zhaoyin
10
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
9
2019
Global solvability and stabilization in a two-dimensional cross-diffusion system modeling urban crime propagation. Zbl 1428.35611
Winkler, Michael
8
2019
Global smooth solvability of a parabolic-elliptic nutrient taxis system in domains of arbitrary dimension. Zbl 1411.35146
Tao, Youshan; Winkler, Michael
7
2019
How strong singularities can be regularized by logistic degradation in the Keller-Segel system? Zbl 1437.35004
Winkler, Michael
5
2019
Boundedness in a chemotaxis-May-Nowak model for virus dynamics with mildly saturated chemotactic sensitivity. Zbl 1423.35172
Winkler, Michael
4
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
3
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
3
2019
Boundedness and stabilization in a population model with cross-diffusion for one species. Zbl 1439.35275
Tao, Youshan; Winkler, Michael
3
2019
Migration-driven benefit in a two-species nutrient taxis system. Zbl 1425.92033
Krzyżanowski, Piotr; Winkler, Michael; Wrzosek, Dariusz
2
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
60
2018
Global classical solutions in a two-dimensional chemotaxis-Navier-Stokes system with subcritical sensitivity. Zbl 1395.92024
Wang, Yulan; Winkler, Michael; Xiang, Zhaoyin
49
2018
A critical blow-up exponent in a chemotaxis system with nonlinear signal production. Zbl 1391.35240
Winkler, Michael
36
2018
Global existence and stabilization in a degenerate chemotaxis-Stokes system with mildly strong diffusion enhancement. Zbl 1395.35038
Winkler, Michael
31
2018
Does fluid interaction affect regularity in the three-dimensional Keller-Segel system with saturated sensitivity? Zbl 1409.35047
Winkler, Michael
28
2018
Global classical solvability and stabilization in a two-dimensional chemotaxis-Navier-Stokes system modeling coral fertilization. Zbl 1392.35042
Espejo, Elio; Winkler, Michael
27
2018
The small-convection limit in a two-dimensional chemotaxis-Navier-Stokes system. Zbl 1397.35322
Wang, Yulan; Winkler, Michael; Xiang, Zhaoyin
23
2018
Renormalized radial large-data solutions to the higher-dimensional Keller-Segel system with singular sensitivity and signal absorption. Zbl 1378.35165
Winkler, Michael
22
2018
Global mass-preserving solutions in a two-dimensional chemotaxis-Stokes system with rotational flux components. Zbl 1404.35464
Winkler, Michael
20
2018
Singular structure formation in a degenerate haptotaxis model involving myopic diffusion. Zbl 1391.35065
Winkler, Michael
15
2018
Stabilization in the logarithmic Keller-Segel system. Zbl 1391.35066
Winkler, Michael; Yokota, Tomomi
15
2018
Global solvability and explicit bounds for non-local adhesion models. Zbl 1406.35430
Hillen, T.; Painter, K. J.; Winkler, M.
5
2018
Sharp decay estimates in a bioconvection model with quadratic degradation in bounded domains. Zbl 1403.35128
Cao, Xinru; Winkler, Michael
4
2018
Cross-diffusion models: analytic and multiscale problems. Zbl 1408.35078
Bellomo, N.; Tao, Y.; Winkler, M.
2
2018
How far do chemotaxis-driven forces influence regularity in the Navier-Stokes system? Zbl 1356.35071
Winkler, Michael
88
2017
Critical mass for infinite-time aggregation in a chemotaxis model with indirect signal production. Zbl 1406.35068
Tao, Youshan; Winkler, Michael
49
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
43
2017
Emergence of large population densities despite logistic growth restrictions in fully parabolic chemotaxis systems. Zbl 1377.35158
Winkler, Michael
39
2017
A degenerate chemotaxis system with flux limitation: maximally extended solutions and absence of gradient blow-up. Zbl 1430.35166
Bellomo, Nicola; Winkler, Michael
36
2017
Effects of signal-dependent motilities in a Keller-Segel-type reaction-diffusion system. Zbl 06761738
Tao, Youshan; Winkler, Michael
32
2017
Finite-time blow-up in a degenerate chemotaxis system with flux limitation. Zbl 1367.35044
Bellomo, Nicola; Winkler, Michael
31
2017
Asymptotic homogenization in a three-dimensional nutrient taxis system involving food-supported proliferation. Zbl 1370.35059
Winkler, Michael
23
2017
Global existence and slow grow-up in a quasilinear Keller-Segel system with exponentially decaying diffusivity. Zbl 1382.35048
Winkler, Michael
20
2017
Stabilization in a higher-dimensional quasilinear Keller-Segel system with exponentially decaying diffusivity and subcritical sensitivity. Zbl 1367.35033
Cieślak, Tomasz; Winkler, Michael
16
2017
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
16
2017
Global weak solutions to a strongly degenerate haptotaxis model. Zbl 1390.35164
Winkler, Michael; Surulescu, Christina
10
2017
Nonexistence of nonconstant steady-state solutions in a triangular cross-diffusion model. Zbl 1372.35038
Lou, Yuan; Tao, Youshan; Winkler, Michael
5
2017
Slow growth of solutions of superfast diffusion equations with unbounded initial data. Zbl 1386.35178
Fila, Marek; Winkler, Michael
5
2017
On a degenerate nonlocal parabolic problem describing infinite dimensional replicator dynamics. Zbl 1365.35195
Kavallaris, Nikos I.; Lankeit, Johannes; Winkler, Michael
4
2017
Global weak solutions in a three-dimensional chemotaxis-Navier-Stokes system. Zbl 1351.35239
Winkler, Michael
123
2016
Equilibration in a fully parabolic two-species chemotaxis system with competitive kinetics. Zbl 1345.35117
Bai, Xueli; Winkler, Michael
103
2016
Blow-up prevention by quadratic degradation in a two-dimensional Keller-Segel-Navier-Stokes system. Zbl 1356.35054
Tao, Youshan; Winkler, Michael
65
2016
Stabilization in a chemotaxis model for tumor invasion. Zbl 1322.35059
Yokota, Tomomi; Winkler, Michael; Ito, Akio; Fujie, Kentarou
62
2016
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
45
2016
Chemotactic cross-diffusion in complex frameworks. Zbl 06646361
Winkler, M.
10
2016
Optimal rates of convergence to the singular Barenblatt profile for the fast diffusion equation. Zbl 1349.35168
Fila, Marek; Winkler, Michael
7
2016
Rate of convergence to separable solutions of the fast diffusion equation. Zbl 1348.35120
Fila, Marek; Winkler, Michael
5
2016
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.
373
2015
Boundedness and large time behavior in a three-dimensional chemotaxis-Stokes system with nonlinear diffusion and general sensitivity. Zbl 1333.35104
Winkler, Michael
115
2015
Boundedness and decay enforced by quadratic degradation in a three-dimensional chemotaxis-fluid system. Zbl 1328.35084
Tao, Youshan; Winkler, Michael
100
2015
Large time behavior in a multidimensional chemotaxis-haptotaxis model with slow signal diffusion. Zbl 1328.35103
Tao, Youshan; Winkler, Michael
80
2015
Large-data global generalized solutions in a chemotaxis system with tensor-valued sensitivities. Zbl 1330.35202
Winkler, Michael
63
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
53
2015
Boundedness vs. blow-up in a two-species chemotaxis system with two chemicals. Zbl 1329.35075
Winkler, Michael; Tao, Youshan
38
2015
Boundedness of solutions to parabolic-elliptic Keller-Segel systems with signal-dependent sensitivity. Zbl 1329.35011
Fujie, Kentarou; Winkler, Michael; Yokota, Tomomi
35
2015
Persistence of mass in a chemotaxis system with logistic source. Zbl 1321.35084
Tao, Youshan; Winkler, Michael
30
2015
Global existence and uniform boundedness of smooth solutions to a cross-diffusion system with equal diffusion rates. Zbl 1332.35172
Lou, Yuan; Winkler, Michael
17
2015
Global existence for a nonlocal and nonlinear Fokker-Planck equation. Zbl 1325.35227
Dreyer, Wolfgang; Huth, Robert; Mielke, Alexander; Rehberg, Joachim; Winkler, Michael
5
2015
Sharp rate of convergence to Barenblatt profiles for a critical fast diffusion equation. Zbl 1321.35102
Fila, Marek; Winkler, Michael
2
2015
A degenerate fourth-order parabolic equation modeling Bose-Einstein condensation. I: Local existence of solutions. Zbl 1317.35258
Jüngel, Ansgar; Winkler, Michael
2
2015
A degenerate fourth-order parabolic equation modeling Bose-Einstein condensation. II: Finite-time blow-up. Zbl 1331.35163
Jüngel, Ansgar; Winkler, Michael
1
2015
Stabilization in a two-dimensional chemotaxis-Navier-Stokes system. Zbl 1293.35220
Winkler, Michael
163
2014
Global asymptotic stability of constant equilibria in a fully parabolic chemotaxis system with strong logistic dampening. Zbl 1293.35048
Winkler, Michael
137
2014
How far can chemotactic cross-diffusion enforce exceeding carrying capacities? Zbl 1311.35040
Winkler, Michael
108
2014
Global weak solutions in a PDE-ODE system modeling multiscale cancer cell invasion. Zbl 1301.35189
Stinner, Christian; Surulescu, Christina; Winkler, Michael
104
2014
Competitive exclusion in a two-species chemotaxis model. Zbl 1319.92050
Stinner, C.; Tello, J. I.; Winkler, M.
70
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
61
2014
Dominance of chemotaxis in a chemotaxis-haptotaxis model. Zbl 1293.35047
Tao, Youshan; Winkler, Michael
47
2014
Boundedness and stabilization in a multi-dimensional chemotaxis-haptotaxis model. Zbl 1312.35171
Tao, Youshan; Winkler, Michael
40
2014
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
35
2014
Approaching the ideal free distribution in two-species competition models with fitness-dependent dispersal. Zbl 1295.35098
Lou, Yuan; Tao, Youshan; Winkler, Michael
17
2014
Well-posedness and qualitative properties of a dynamical model for the ideal free distribution. Zbl 1317.35116
Cosner, Chris; Winkler, Michael
10
2014
Rate of convergence to Barenblatt profiles for the fast diffusion equation with a critical exponent. Zbl 1295.35085
Fila, M.; King, J. R.; Winkler, M.
6
2014
Finite-time blow-up in the higher-dimensional parabolic-parabolic Keller-Segel system. Zbl 1326.35053
Winkler, Michael
389
2013
...and 73 more Documents
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Cited by 1,090 Authors

132 Winkler, Michael
64 Mu, Chunlai
45 Tao, Youshan
32 Zheng, Sining
30 Zheng, Pan
28 Wang, Liangchen
28 Zheng, Jiashan
26 Wang, Yifu
25 Lankeit, Johannes
24 Wang, Zhian
24 Yokota, Tomomi
22 Lin, Ke
20 Jin, Hai-Yang
19 Xiang, Zhaoyin
18 Fila, Marek
18 Wang, Wei
17 Shen, Wenxian
17 Viglialoro, Giuseppe
17 Xiang, Tian
16 Fujie, Kentarou
16 Stinner, Christian
15 Hu, Xuegang
15 Mizukami, Masaaki
15 Negreanu, Mihaela
15 Ren, Guoqiang
14 Kang, Kyungkeun
14 Wang, Yulan
13 Black, Tobias
13 Cao, Xinru
13 Liu, Ji
13 Tello, José Ignacio
13 Wang, Yilong
13 Yanagida, Eiji
12 Bellomo, Nicola
12 Li, Xie
12 Surulescu, Christina
12 Yin, Jingxue
12 Zhang, Qingshan
11 Li, Yuxiang
11 Painter, Kevin J.
11 Salako, Rachidi Bolaji
10 Cieślak, Tomasz
10 Guo, Shangjiang
10 Hillen, Thomas
10 Jin, Chunhua
10 Zhang, Qian
9 Fu, Shengmao
9 Ishida, Sachiko
9 Li, Dan
9 Liu, Chein-Shan
9 Morales-Rodrigo, Cristian
8 Jiang, Jie
8 Lee, Jihoon
8 Qiu, Shuyan
8 Shangerganesh, Lingeshwaran
8 Souplet, Philippe
8 Tu, Xinyu
7 Hui, Kin Ming
7 Laurençot, Philippe
7 Liu, Zhengrong
7 Liu, Zuhan
7 Shi, Junping
7 Villamizar-Roa, Elder Jesús
7 Yu, Hao
7 Zhao, Jie
7 Zhigun, Anna
7 Zhou, Shuangshuang
6 Ahn, Jaewook
6 Baghaei, Khadijeh
6 Ding, Mengyao
6 Elaiw, Ahmed M.
6 Fuest, Mario
6 Issa, Tahir Bachar
6 Jüngel, Ansgar
6 Ke, Yuanyuan
6 Li, Jing
6 Ma, Manjun
6 Pan, Xu
6 Suárez, Antonio
6 Vargas, Antonio Manuel
6 Wang, Liangwei
6 Yoon, Changwook
6 Zhang, Zhengce
6 Zhao, Kun
6 Zhao, Xiaopeng
6 Zhou, Ling
6 Zhou, Mingjun
5 Blömker, Dirk
5 Carrillo de la Plata, José Antonio
5 Chae, Myeongju
5 Chaplain, Mark A. J.
5 Chouhad, Nadia
5 Diaz Diaz, Jesus Ildefonso
5 Li, Yuhuan
5 Lv, Wenbin
5 Marras, Monica
5 Mizoguchi, Noriko
5 Osaki, Koichi
5 Pang, Peter Y. H.
5 Peng, Yingping
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Cited in 167 Serials

155 Journal of Differential Equations
136 Journal of Mathematical Analysis and Applications
72 Nonlinear Analysis. Real World Applications
65 ZAMP. Zeitschrift für angewandte Mathematik und Physik
64 M\(^3\)AS. Mathematical Models & Methods in Applied Sciences
62 Discrete and Continuous Dynamical Systems. Series B
54 Discrete and Continuous Dynamical Systems
53 Nonlinear Analysis. Theory, Methods & Applications. Series A: Theory and Methods
39 Applied Mathematics Letters
33 Computers & Mathematics with Applications
30 Mathematical Methods in the Applied Sciences
25 SIAM Journal on Mathematical Analysis
22 Acta Applicandae Mathematicae
20 Nonlinearity
18 Applicable Analysis
18 Discrete and Continuous Dynamical Systems. Series S
17 Journal of Mathematical Physics
15 Calculus of Variations and Partial Differential Equations
15 Communications on Pure and Applied Analysis
14 Journal of Mathematical Biology
13 Boundary Value Problems
12 Journal of Dynamics and Differential Equations
12 NoDEA. Nonlinear Differential Equations and Applications
12 Journal of Evolution Equations
11 Communications in Partial Differential Equations
11 Proceedings of the Royal Society of Edinburgh. Section A. Mathematics
10 Annales de l’Institut Henri Poincaré. Analyse Non Linéaire
9 Journal of Functional Analysis
9 Mathematische Annalen
9 SIAM Journal on Applied Mathematics
9 Comptes Rendus. Mathématique. Académie des Sciences, Paris
8 Journal of Theoretical Biology
7 Applied Mathematics and Computation
7 Mathematical Biosciences and Engineering
6 Proceedings of the American Mathematical Society
6 Journal de Mathématiques Pures et Appliquées. Neuvième Série
6 Discrete Dynamics in Nature and Society
6 Journal of Mathematical Fluid Mechanics
6 Kinetic and Related Models
6 Advances in Nonlinear Analysis
5 Annali di Matematica Pura ed Applicata. Serie Quarta
5 Physica D
5 European Journal of Applied Mathematics
5 Advances in Difference Equations
4 Archive for Rational Mechanics and Analysis
4 Transactions of the American Mathematical Society
4 Journal of Scientific Computing
4 International Journal of Bifurcation and Chaos in Applied Sciences and Engineering
4 Journal of Nonlinear Science
4 Electronic Journal of Differential Equations (EJDE)
4 Advanced Nonlinear Studies
4 International Journal of Biomathematics
4 Science China. Mathematics
3 Journal d’Analyse Mathématique
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3 Mathematische Nachrichten
3 Results in Mathematics
3 Applied Mathematics. Series B (English Edition)
3 Abstract and Applied Analysis
3 Journal of Dynamical and Control Systems
2 Communications in Mathematical Physics
2 Israel Journal of Mathematics
2 Jahresbericht der Deutschen Mathematiker-Vereinigung (DMV)
2 Journal of Computational Physics
2 Rocky Mountain Journal of Mathematics
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2 Duke Mathematical Journal
2 Funkcialaj Ekvacioj. Serio Internacia
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2 Journal of Computational and Applied Mathematics
2 Monatshefte für Mathematik
2 Numerische Mathematik
2 Osaka Journal of Mathematics
2 Quarterly of Applied Mathematics
2 Acta Mathematicae Applicatae Sinica. English Series
2 Japan Journal of Industrial and Applied Mathematics
2 Applied Mathematical Modelling
2 Proceedings of the Indian Academy of Sciences. Mathematical Sciences
2 Topological Methods in Nonlinear Analysis
2 Engineering Analysis with Boundary Elements
2 Journal of Inequalities and Applications
2 Communications in Nonlinear Science and Numerical Simulation
2 Nonlinear Analysis. Modelling and Control
2 Journal of Applied Mathematics
2 Bulletin of the Malaysian Mathematical Sciences Society. Second Series
2 Multiscale Modeling & Simulation
2 Analysis and Applications (Singapore)
2 Oberwolfach Reports
2 Journal of Biological Dynamics
1 Lithuanian Mathematical Journal
1 Physica A
1 Advances in Mathematics
1 The Annals of Probability
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