Estimates of the transition density of a gas system

DOI10.1016/j.matpur.2004.02.008zbMath1071.60068OpenAlexW1973372949MaRDI QIDQ1775749

Siham Filali, Azzouz Dermoune

Publication date: 4 May 2005

Published in: Journal de Mathématiques Pures et Appliquées. Neuvième Série (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.matpur.2004.02.008

zbMATH Keywords

propagation of chaosAronson estimates

Mathematics Subject Classification ID

Stochastic analysis applied to problems in fluid mechanics (76M35) First-order nonlinear hyperbolic equations (35L60) Diffusion processes (60J60) Boundary element methods applied to problems in fluid mechanics (76M15) Transition functions, generators and resolvents (60J35)

Cites Work

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• Probabilistic interpretation of sticky particle model
• Conditional propagation of chaos and a class of quasilinear PDE's
• Pressureless gas equations with viscosity and nonlinear diffusion
• A law of large numbers for moderately interacting diffusion processes
• Fundamental solutions of parabolic systems. I
• Bounds for the fundamental solution of a parabolic equation
• Global solution of the pressureless gas equation with viscosity

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