Advection-diffusion equations with density constraints
From MaRDI portal
Publication:301918
DOI10.2140/apde.2016.9.615zbMath1342.35157arXiv1503.02311OpenAlexW2289579513MaRDI QIDQ301918
Alpár Richárd Mészáros, Filippo Santambrogio
Publication date: 4 July 2016
Published in: Analysis \& PDE (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/1503.02311
Variational inequalities (49J40) Methods involving semicontinuity and convergence; relaxation (49J45) Nonlinear initial, boundary and initial-boundary value problems for nonlinear parabolic equations (35K61)
Related Items
A density-constrained model for chemotaxis, On nonlinear cross-diffusion systems: an optimal transport approach, Shape derivative for obstacles in crowd motion, On cross-diffusion systems for two populations subject to a common congestion effect, Optimal control of the Fokker-Planck equation under state constraints in the Wasserstein space, L1-Theory for Hele-Shaw flow with linear drift, Crowd motion and evolution PDEs under density constraints, \{Euclidean, metric, and Wasserstein\} gradient flows: an overview, A splitting method for nonlinear diffusions with nonlocal, nonpotential drifts, Uniqueness issues for evolution equations with density constraints, Hele-Shaw limit for a system of two reaction-(Cross-)diffusion equations for living tissues, Degenerate nonlinear parabolic equations with discontinuous diffusion coefficients