Cross-Diffusion Systems with Excluded-Volume Effects and Asymptotic Gradient Flow Structures

A nonlocal swarm model for predators–prey interactions

(2016) Marco Di Francesco et al.   MATHEMATICAL MODELS & METHODS IN APPLIED SCIENCES

Lane Formation by Side-Stepping

(2016) Martin Burger et al.   SIAM JOURNAL ON MATHEMATICAL ANALYSIS

Transport distances and geodesic convexity for systems of degenerate diffusion equations

(2015) Jonathan Zinsl et al.   CALCULUS OF VARIATIONS AND PARTIAL DIFFERENTIAL EQUATIONS

Gradient flows for non-smooth interaction potentials

(2014) J.A. Carrillo et al.   NONLINEAR ANALYSIS-THEORY METHODS & APPLICATIONS

Gradient structures and geodesic convexity for reaction-diffusion systems

(2013) M. Liero et al.   PHILOSOPHICAL TRANSACTIONS OF THE ROYAL SOCIETY A-MATHEMATICAL PHYSICAL AND ENGINEERING SCIENCES

Diffusion of multiple species with excluded-volume effects

(2012) Maria Bruna et al.   JOURNAL OF CHEMICAL PHYSICS

Nonlinear Poisson–Nernst–Planck equations for ion flux through confined geometries

(2012) M Burger et al.   NONLINEARITY

Excluded-volume effects in the diffusion of hard spheres

(2012) Maria Bruna et al.   PHYSICAL REVIEW E

From a Large-Deviations Principle to the Wasserstein Gradient Flow: A New Micro-Macro Passage

(2011) Stefan Adams et al.   COMMUNICATIONS IN MATHEMATICAL PHYSICS

Nonlinear Cross-Diffusion with Size Exclusion

(2010) Martin Burger et al.   SIAM JOURNAL ON MATHEMATICAL ANALYSIS

Continuous Models for Cell Migration in Tissues and Applications to Cell Sorting via Differential Chemotaxis

(2009) Kevin J. Painter   BULLETIN OF MATHEMATICAL BIOLOGY

Conservative cross diffusions and pattern formation through relaxation

(2009) Mostafa Bendahmane et al.   JOURNAL DE MATHEMATIQUES PURES ET APPLIQUEES