Probabilistic interpretation of the vanishing viscosity method for systems of conservation and balance laws

DOI10.1134/S0001434621030032zbMath1468.35010OpenAlexW3178578382WikidataQ114847434 ScholiaQ114847434MaRDI QIDQ2037672

Yana I. Belopolskaya

Publication date: 8 July 2021

Published in: Mathematical Notes (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1134/s0001434621030032

zbMATH Keywords

stochastic equationssmall parameterparabolic and hyperbolic conservation and balance laws

Mathematics Subject Classification ID

Singular perturbations in context of PDEs (35B25) Hyperbolic conservation laws (35L65) Second-order parabolic systems (35K40)

Related Items (2)

Probabilistic interpretation of the Cauchy problem for systems of nonlinear parabolic equations ⋮ Variational formulation of the problem of finding generalized solutions for quasilinear hyperbolic systems of conservation laws

Cites Work

• Unnamed Item
• The structure of dissipative viscous system of conservation laws
• Probabilistic models of the dynamics of the growth of cells under contact inhibition
• Vanishing viscosity solutions of nonlinear hyperbolic systems
• Quasilinear parabolic equations and measures in function space
• Hyperbolic systems of conservation laws II
• Functional Integration and Partial Differential Equations. (AM-109)
• Probabilistic interpretations of quasilinear parabolic systems
• Stochastic differential equations. An introduction with applications.

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