Local existence of weak solutions to kinetic models of granular media

DOI10.1007/s00205-016-0975-1zbMath1338.35427OpenAlexW2183771235MaRDI QIDQ291811

Martial Agueh

Publication date: 10 June 2016

Published in: Archive for Rational Mechanics and Analysis (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s00205-016-0975-1

Mathematics Subject Classification ID

Continuum models (systems of particles, etc.) arising in equilibrium statistical mechanics (82B21) Weak solutions to PDEs (35D30) PDEs in connection with statistical mechanics (35Q82)

Related Items (6)

Generalized solutions of a kinetic granular media equation by a gradient flow approach ⋮ Hessian informed mirror descent ⋮ Remarks on a class of kinetic models of granular media: asymptotics and entropy bounds ⋮ Entropic Regularization of NonGradient Systems ⋮ A blob method for diffusion ⋮ Solutions of a class of degenerate kinetic equations using steepest descent in Wasserstein space

Cites Work

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• Global-in-time weak measure solutions and finite-time aggregation for nonlocal interaction equations
• Contractions in the 2-Wasserstein length space and thermalization of granular media
• A convexity principle for interacting gases
• 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
• Long-time asymptotics of kinetic models of granular flows
• Inelastic collisions of three particles on a line as a two-dimensional billiard
• Global solutions of Boltzmann's equation and the entropy inequality
• One-dimensional kinetic models of granular flows
• Lp theory for the multidimensional aggregation equation
• One-dimensional bounce of inelastically colliding marbles on a wall
• Modern Fourier Analysis
• A kinetic equation for granular media
• Régularité $L\sp p$ précisée des moyennes dans les équations de transport
• A kinetic equation for granular media
• The Variational Formulation of the Fokker--Planck Equation
• Local and Global Existence for an Aggregation Equation

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