On solvability and ill-posedness of the compressible Euler system subject to stochastic forces

DOI10.2140/apde.2020.13.371zbMath1435.35289arXiv1705.08097OpenAlexW2620284697MaRDI QIDQ2307512

Martina Hofmanová, Eduard Feireisl, Dominic Breit

Publication date: 24 March 2020

Published in: Analysis \& PDE (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1705.08097

zbMATH Keywords

weak solutionstochastic forcingill-posednesscompressible Euler systemconvex integrationstochastic compressible Euler system

Mathematics Subject Classification ID

Ill-posed problems for PDEs (35R25) Stochastic partial differential equations (aspects of stochastic analysis) (60H15) PDEs with randomness, stochastic partial differential equations (35R60) Weak solutions to PDEs (35D30) Euler equations (35Q31) Compressible Navier-Stokes equations (76N06)

Related Items (19)

Convergence of a spectral method for the stochastic incompressible Euler equations ⋮ Non-uniqueness in law for the Boussinesq system forced by random noise ⋮ Non-uniqueness of weak solutions to 3D magnetohydrodynamic equations ⋮ NonUniqueness in Law for Two-Dimensional Navier--Stokes Equations with Diffusion Weaker than a Full Laplacian ⋮ Measure-valued solutions to the stochastic compressible Euler equations and incompressible limits ⋮ A short remark on inviscid limit of the stochastic Navier-Stokes equations ⋮ A class of supercritical/critical singular stochastic PDEs: existence, non-uniqueness, non-Gaussianity, non-unique ergodicity ⋮ Sharp Nonuniqueness of Solutions to Stochastic Navier–Stokes Equations ⋮ A convergent finite volume scheme for the stochastic barotropic compressible Euler equations ⋮ Global-in-time probabilistically strong and Markov solutions to stochastic 3D Navier-Stokes equations: existence and nonuniqueness ⋮ Three-dimensional magnetohydrodynamics system forced by space-time white noise ⋮ On the 3D Navier-Stokes equations with a linear multiplicative noise and prescribed energy ⋮ Nonuniqueness in law of stochastic 3D Navier-Stokes equations ⋮ The Combined Incompressible Quasineutral Limit of the Stochastic Navier--Stokes--Poisson System ⋮ Ill posedness for the full Euler system driven by multiplicative white noise ⋮ Scaling limit of stochastic 2D Euler equations with transport noises to the deterministic Navier-Stokes equations ⋮ Dissipative solutions to the stochastic Euler equations ⋮ Uniqueness and energy balance for isentropic Euler equation with stochastic forcing ⋮ Nonuniqueness in law for stochastic hypodissipative Navier-Stokes equations

Cites Work

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• The ℎ-principle and the equations of fluid dynamics
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