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

DOI10.1016/j.crma.2003.10.018zbMath1040.60053OpenAlexW1968749741MaRDI QIDQ1420173

Siham Filali, Azzouz Dermoune

Publication date: 28 January 2004

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

Full work available at URL: https://doi.org/10.1016/j.crma.2003.10.018

zbMATH Keywords

stochastic differential equationBrownian motionpresureless gas system

Mathematics Subject Classification ID

Stochastic ordinary differential equations (aspects of stochastic analysis) (60H10) Strong limit theorems (60F15) Stochastic analysis applied to problems in fluid mechanics (76M35) Interacting random processes; statistical mechanics type models; percolation theory (60K35)

Cites Work

• Unnamed Item
• Propagation and conditional propagation of chaos for pressureless gas equations
• Propagation of chaos for pressureless gas equations with viscosity.
• An existence theorem in the large for zero-pressure gas dynamics
• Conditional propagation of chaos and a class of quasilinear PDE's
• Generalized variational principles, global weak solutions and behavior with random initial data for systems of conservation laws arising in adhesion particle dynamics
• Pressureless gas equations with viscosity and nonlinear diffusion
• Sticky Particles and Scalar Conservation Laws
• Global solution of the pressureless gas equation with viscosity

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