Solutions of a class of degenerate kinetic equations using steepest descent in Wasserstein space

DOI10.1155/2020/7489532zbMath1450.35208OpenAlexW3035721922MaRDI QIDQ780508

Aboubacar Marcos, Ambroise Soglo

Publication date: 15 July 2020

Published in: Journal of Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1155/2020/7489532

zbMATH Keywords

kinetic equations

Mathematics Subject Classification ID

Integro-partial differential equations (45K05) Vlasov equations (35Q83) Integro-partial differential equations (35R09) Boltzmann equations (35Q20) Quasilinear parabolic equations (35K59) Probabilistic methods, particle methods, etc. for initial value and initial-boundary value problems involving PDEs (65M75)

Related Items (2)

Entropic Regularization of NonGradient Systems ⋮ Operator-splitting schemes for degenerate, non-local, conservative-dissipative systems

Cites Work

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• Generalized solutions of a kinetic granular media equation by a gradient flow approach
• The boundary value condition of an evolutionary \(p(x)\)-Laplacian equation
• Local existence of weak solutions to kinetic models of granular media
• Solution of a model Boltzmann equation via steepest descent in the 2-Wasserstein metric
• Iterative operator-splitting methods for nonlinear differential equations and applications
• The Variational Formulation of the Fokker--Planck Equation

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