Global solution of the pressureless gas equation with viscosity

DOI10.1016/S0167-2789(02)00354-8zbMath0999.76111OpenAlexW2093092868WikidataQ127571220 ScholiaQ127571220MaRDI QIDQ5958044

Azzouz Dermoune, Boualem Djehiche

Publication date: 13 March 2002

Published in: Physica D (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/s0167-2789(02)00354-8

zbMATH Keywords

global weak solutiondiscrete approximationsnonlinear stochastic differential equationdeterministic driftfinite artificial viscosityinviscid systemnormalized simple symmetric random walksticky particle dynamicszero-pressure gas dynamics

Mathematics Subject Classification ID

Stochastic analysis applied to problems in fluid mechanics (76M35) Stochastic partial differential equations (aspects of stochastic analysis) (60H15) Existence, uniqueness, and regularity theory for compressible fluids and gas dynamics (76N10)

Related Items (7)

Convergence of the two-species Vlasov-Poisson system to the pressureless Euler equations ⋮ A probabilistic model associated with the pressureless gas dynamics ⋮ Diffusion with interactions between two types of particles and pressureless gas equations. ⋮ Some exact blowup solutions to the pressureless Euler equations in \(\mathbb R^{N}\) ⋮ Estimates of the transition density of a gas system ⋮ A boundary value problem for the spherically symmetric motion of a pressureless gas with a temperature‐dependent viscosity ⋮ Propagation of chaos for pressureless gas equations with viscosity.

Cites Work

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• 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
• d-Dimensional Pressureless Gas Equations

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