Finite speed of propagation in porous media by mass transportation methods
From MaRDI portal
Publication:1876856
DOI10.1016/j.crma.2004.03.025zbMath1049.35110OpenAlexW2052581289MaRDI QIDQ1876856
Maria Pia Gualdani, José Antonio Carrillo, Giuseppe Toscani
Publication date: 20 August 2004
Published in: Comptes Rendus. Mathématique. Académie des Sciences, Paris (Search for Journal in Brave)
Full work available at URL: http://citeseerx.ist.psu.edu/viewdoc/summary?doi=10.1.1.5.8191
Reaction-diffusion equations (35K57) Flows in porous media; filtration; seepage (76S05) Degenerate parabolic equations (35K65) Oscillation, zeros of solutions, mean value theorems, etc. in context of PDEs (35B05) Initial value problems for second-order parabolic equations (35K15)
Related Items
Contractivity of Wasserstein metrics and asymptotic profiles for scalar conservation laws, Splitting scheme for a macroscopic crowd motion model with congestion for a two-typed population, An analytical framework for consensus-based global optimization method, Non-uniform continuity of the semiflow map associated to the porous medium equation, Propagation of chaos for rank-based interacting diffusions and long time behaviour of a scalar quasilinear parabolic equation, Nonlocal interactions by repulsive-attractive potentials: radial ins/stability, Kinetic approach to long time behavior of linearized fast diffusion equations, ADER finite volume schemes for nonlinear reaction-diffusion equations, A Lipschitz metric for the Hunter–Saxton equation, A MACROSCOPIC CROWD MOTION MODEL OF GRADIENT FLOW TYPE, \({\mathcal{W}}_\infty \)-transport with discrete target as a combinatorial matching problem, Approximate analytical solutions of generalized linear and nonlinear reaction-diffusion equations in an infinite domain, Multiple large-time behavior of nonlocal interaction equations with quadratic diffusion, Strict contractivity of the 2-Wasserstein distance for the porous medium equation by mass-centering, From the highly compressible Navier-Stokes equations to the porous medium equation -- rate of convergence, Contractions in the 2-Wasserstein length space and thermalization of granular media
Cites Work
- Unnamed Item
- Unnamed Item
- Asymptotic behaviour for the porous medium equation posed in the whole space.
- Asymptotic Behaviour and Propagation Properties of the One-Dimensional Flow of Gas in a Porous Medium
- Some problems of the qualitative theory of non-linear degenerate second-order parabolic equations
- Asymptotic L^1-decay of solutions of the porous medium equation to self-similarity
