Propagation of chaos for pressureless gas equations with viscosity.

DOI10.1016/S1631-073X(02)02602-XzbMath1101.76382MaRDI QIDQ1565901

Azzouz Dermoune

Publication date: 27 May 2003

Published in: Comptes Rendus. Mathématique. Académie des Sciences, Paris (Search for Journal in Brave)

Mathematics Subject Classification ID

Singular perturbations in context of PDEs (35B25) Stochastic analysis applied to problems in fluid mechanics (76M35) Gas dynamics (general theory) (76N15) Interacting random processes; statistical mechanics type models; percolation theory (60K35) Hyperbolic conservation laws (35L65) Diffusion processes (60J60)

Related Items (1)

Diffusion with interactions between two types of particles and pressureless gas equations.

Cites Work

• Unnamed Item
• A propagation of chaos result for Burgers' equation
• Semi-martingale inequalities via the Garsia-Rodemich-Rumsey lemma, and applications to local times
• Pressureless gas equations with viscosity and nonlinear diffusion
• A law of large numbers for moderately interacting diffusion processes
• [https://portal.mardi4nfdi.de/wiki/Publication:3347061 �quations de type de Boltzmann, spatialement homog�nes]
• Global solution of the pressureless gas equation with viscosity

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