Nonlinear diffusion equations with variable coefficients as gradient flows in Wasserstein spaces
DOI10.1051/cocv:2008044zbMath1178.35201OpenAlexW2131837567WikidataQ125877690 ScholiaQ125877690MaRDI QIDQ5192132
Publication date: 4 August 2009
Published in: ESAIM: Control, Optimisation and Calculus of Variations (Search for Journal in Brave)
Full work available at URL: https://eudml.org/doc/244645
asymptotic behaviorparabolic equationsnonlinear diffusion equationsWasserstein distancegradient flowsvariable coefficient parabolic equations
Asymptotic behavior of solutions to PDEs (35B40) Nonlinear parabolic equations (35K55) Initial value problems for second-order parabolic equations (35K15)
Related Items (25)
Cites Work
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Contractions in the 2-Wasserstein length space and thermalization of granular media
- Characterization of absolutely continuous curves in Wasserstein spaces
- LIP manifolds: from metric to Finslerian structure
- A convexity principle for interacting gases
- Constrained steepest descent in the 2-Wasserstein metric
- Variational principle for general diffusion problems
- Convex functionals of probability measures and nonlinear diffusions on manifolds
- Kinetic equilibration rates for granular media and related equations: entropy dissipation and mass transportation estimates
- Solution of a model Boltzmann equation via steepest descent in the 2-Wasserstein metric
- A computational fluid mechanics solution to the Monge-Kantorovich mass transfer problem
- Transport via mass transportation
- Existence of solutions to degenerate parabolic equations via the Monge-Kantorovich theory
- ON CONVEX SOBOLEV INEQUALITIES AND THE RATE OF CONVERGENCE TO EQUILIBRIUM FOR FOKKER-PLANCK TYPE EQUATIONS
- THE GEOMETRY OF DISSIPATIVE EVOLUTION EQUATIONS: THE POROUS MEDIUM EQUATION
- Transport inequalities, gradient estimates, entropy and Ricci curvature
- Evolution equations with lack of convexity
- The Variational Formulation of the Fokker--Planck Equation
- Entropy dissipation methods for degenerate parabolic problems and generalized Sobolev inequalities
This page was built for publication: Nonlinear diffusion equations with variable coefficients as gradient flows in Wasserstein spaces