One dimensional stochastic equation of a barotropic viscous gas

zbMath0949.60075MaRDI QIDQ1977712

Elisabetta Tornatore, Hisao Fujita Yashima

Publication date: 3 December 2000

Published in: Ricerche di Matematica (Search for Journal in Brave)

zbMATH Keywords

Lagrangean coordinatesone-dimensional motionviscous barotropic gasstochastic equation system

Mathematics Subject Classification ID

Nonlinear parabolic equations (35K55) Stochastic partial differential equations (aspects of stochastic analysis) (60H15) Existence, uniqueness, and regularity theory for compressible fluids and gas dynamics (76N10)

Related Items (9)

Existence of martingale solutions and the incompressible limit for stochastic compressible flows on the whole space ⋮ Random Perturbations of Viscous, Compressible Fluids: Global Existence of Weak Solutions ⋮ Stochastic Navier-Stokes-Fourier equations ⋮ Local strong solutions to the stochastic compressible Navier–Stokes system ⋮ Invariant measures for the stochastic one-dimensional compressible Navier-Stokes equations ⋮ Stochastic equations of the viscous barotropic gas ⋮ On solvability and ill-posedness of the compressible Euler system subject to stochastic forces ⋮ Stationary solutions to the compressible Navier-Stokes system driven by stochastic forces ⋮ Existence of the weak solutions for the compressible magnetohydrodynamic flows driven by stochastic forcing

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