A probabilistic model associated with the pressureless gas dynamics

DOI10.1016/j.bulsci.2013.05.001zbMath1286.35154arXiv0908.2084OpenAlexW2155113571MaRDI QIDQ390512

Anastasia Korshunova, Olga S. Rozanova, Sergio A. Albeverio

Publication date: 8 January 2014

Published in: Bulletin des Sciences Mathématiques (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/0908.2084

zbMATH Keywords

stochastic perturbationHugoniot conditions\(\delta \)-singularitynon-interacting particlesnon-viscous Burgers equationspurious pressuresticky particles

Mathematics Subject Classification ID

Stochastic ordinary differential equations (aspects of stochastic analysis) (60H10) Shocks and singularities for hyperbolic equations (35L67) Gas dynamics (general theory) (76N15) Applications of stochastic analysis (to PDEs, etc.) (60H30) Hyperbolic conservation laws (35L65) PDEs with randomness, stochastic partial differential equations (35R60) Initial value problems for first-order hyperbolic systems (35L45) Fokker-Planck equations (35Q84)

Related Items

Convergence of the two-species Vlasov-Poisson system to the pressureless Euler equations, Cauchy problem for degenerating linear differential equations and averaging of approximating regularizations, A probabilistic model associated with the pressureless gas dynamics, Optimized decomposition method for solving multi-dimensional Burgers' equation, On properties of solutions of the Cauchy problem for two-dimensional transport equations on a rotating plane, A representation of solutions to a scalar conservation law in several dimensions, Moving least squares particle hydrodynamics method for Burgers' equation, An analytical solution for two and three dimensional nonlinear Burgers' equation, The generalized Kudryashov method for nonlinear space-time fractional partial differential equations of Burgers type

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