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Finite volume methods for a Keller–Segel system: discrete energy, error estimates and numerical blow-up analysis

Numerische Mathematik, 2017-01, Vol.135 (1), p.265-311

2017

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A new approach for the regularity of weak solutions of the 3D Boussinesq system

Nonlinearity, 2024-06, Vol.37 (6), p.65019

2024

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Flatness implies smoothness for solutions of the porous medium equation

Calculus of variations and partial differential equations, 2018-02, Vol.57 (1), Article 18

2018

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Strong spherical rigidity of ancient solutions of expansive curvature flows

The Bulletin of the London Mathematical Society, 2020-02, Vol.52 (1), p.94-99

2020

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Attractiveness of Constant States in Logistic-Type Keller–Segel Systems Involving Subquadratic Growth Restrictions

Advanced nonlinear studies, 2020-11, Vol.20 (4), p.795-817

Winkler, Michael

2020

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Boundedness and decay enforced by quadratic degradation in a three-dimensional chemotaxis–fluid system

Zeitschrift für angewandte Mathematik und Physik, 2015-10, Vol.66 (5), p.2555-2573

2015

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Boundedness and large time behavior in a three-dimensional chemotaxis-Stokes system with nonlinear diffusion and general sensitivity

Calculus of variations and partial differential equations, 2015-12, Vol.54 (4), p.3789-3828

Winkler, Michael

2015

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A flow approach to the prescribed Gaussian curvature problem in ℍ +1

Advances in calculus of variations, 2024-07, Vol.17 (3), p.521-543

2024

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Boundedness in the higher-dimensional chemotaxis–haptotaxis model with nonlinear diffusion

Journal of Differential Equations, 2016-01, Vol.260 (2), p.1975-1989

Wang, Yifu

2016

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Second order mean field games with degenerate diffusion and local coupling

Nonlinear differential equations and applications, 2015-10, Vol.22 (5), p.1287-1317

2015

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Global boundedness of solutions to a two-species chemotaxis system

Zeitschrift für angewandte Mathematik und Physik, 2015-02, Vol.66 (1), p.83-93

2015

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Global classical small-data solutions for a three-dimensional chemotaxis Navier–Stokes system involving matrix-valued sensitivities

Calculus of variations and partial differential equations, 2016-08, Vol.55 (4), p.1-39, Article 107

2016

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Convergence analysis and error estimates for a second order accurate finite element method for the Cahn–Hilliard–Navier–Stokes system

Numerische Mathematik, 2017-11, Vol.137 (3), p.495-534

2017

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Prevention of infinite-time blowup by slightly super-linear degradation in a Keller–Segel system with density-suppressed motility

Nonlinearity, 2024-09, Vol.37 (9), p.95007

2024

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A convergent and precise finite element scheme for Landau–Lifschitz–Gilbert equation

Numerische Mathematik, 2014-11, Vol.128 (3), p.407-430

2014

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The evolution problem associated with the fractional first eigenvalue

Nonlinearity, 2024-07, Vol.37 (7), p.75019

2024

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Gradient estimates for a class of parabolic systems

Duke mathematical journal, 2007-02, Vol.136 (2), p.285-320

2007

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Local energy estimates and global solvability in a three-dimensional chemotaxis-fluid system with prescribed signal on the boundary

Communications in partial differential equations, 2021-06, Vol.46 (6), p.1058-1091

2021

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The evolution problem associated with eigenvalues of the Hessian

Journal of the London Mathematical Society, 2020-12, Vol.102 (3), p.1293-1317

2020

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Global Calderón–Zygmund theory for nonlinear parabolic systems

Calculus of variations and partial differential equations, 2014-11, Vol.51 (3-4), p.555-596

Bogelein, Verena

2014

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A STOCHASTIC CONTROL APPROACH TO NO-ARBITRAGE BOUNDS GIVEN MARGINALS, WITH AN APPLICATION TO LOOKBACK OPTIONS

The Annals of applied probability, 2014-02, Vol.24 (1), p.312-336

2014

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Refined regularity analysis for a Keller-Segel-consumption system involving signal-dependent motilities

Applicable analysis, 2024-01, Vol.103 (1), p.45-64

2024

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Boundedness and long-time behavior in a parabolic-elliptic system arising from biological transport networks

Advances in nonlinear analysis, 2024-10, Vol.13 (1)

Li, Bin

2024

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Laplacian cut-offs, porous and fast diffusion on manifolds and other applications

Calculus of variations and partial differential equations, 2018-02, Vol.57 (1), p.1-33, Article 4

2018

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Dihedral rings of patterns emerging from a Turing bifurcation

Nonlinearity, 2024-03, Vol.37 (3), p.35015

2024

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Finite volume methods for a Keller–Segel system: discrete energy, error estimates and numerical blow-up analysis

A new approach for the regularity of weak solutions of the 3D Boussinesq system

Flatness implies smoothness for solutions of the porous medium equation

Strong spherical rigidity of ancient solutions of expansive curvature flows

Attractiveness of Constant States in Logistic-Type Keller–Segel Systems Involving Subquadratic Growth Restrictions

Boundedness and decay enforced by quadratic degradation in a three-dimensional chemotaxis–fluid system

Boundedness and large time behavior in a three-dimensional chemotaxis-Stokes system with nonlinear diffusion and general sensitivity

A flow approach to the prescribed Gaussian curvature problem in ℍ +1

Boundedness in the higher-dimensional chemotaxis–haptotaxis model with nonlinear diffusion

Second order mean field games with degenerate diffusion and local coupling

Global boundedness of solutions to a two-species chemotaxis system

Global classical small-data solutions for a three-dimensional chemotaxis Navier–Stokes system involving matrix-valued sensitivities

Convergence analysis and error estimates for a second order accurate finite element method for the Cahn–Hilliard–Navier–Stokes system

Prevention of infinite-time blowup by slightly super-linear degradation in a Keller–Segel system with density-suppressed motility

A convergent and precise finite element scheme for Landau–Lifschitz–Gilbert equation

The evolution problem associated with the fractional first eigenvalue

Gradient estimates for a class of parabolic systems

Local energy estimates and global solvability in a three-dimensional chemotaxis-fluid system with prescribed signal on the boundary

The evolution problem associated with eigenvalues of the Hessian

Global Calderón–Zygmund theory for nonlinear parabolic systems

A STOCHASTIC CONTROL APPROACH TO NO-ARBITRAGE BOUNDS GIVEN MARGINALS, WITH AN APPLICATION TO LOOKBACK OPTIONS

Refined regularity analysis for a Keller-Segel-consumption system involving signal-dependent motilities

Boundedness and long-time behavior in a parabolic-elliptic system arising from biological transport networks

Laplacian cut-offs, porous and fast diffusion on manifolds and other applications

Dihedral rings of patterns emerging from a Turing bifurcation

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