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Sequential stability of weak martingale solutions to stochastic compressible Navier-Stokes equations with viscosity vanishing on vacuum

Year: 2024
Type: article
Abstract: In this paper, we investigate the compressible Navier-Stokes equations with degenerate, density-dependent, viscosity coefficient driven by multiplicative stochastic noise. We consider three-dimensional periodic domain and prove that the family of weak martingale solutions is sequentially compact.
DOI: 10.1016/j.jde.2024.10.016
Language: English
Open Access status: hybrid
Estimated APC paid: $3,050
Funders: Simons Foundation, National Natural Science Foundation of China, Austrian Science Fund, Polska Akademia Nauk, Ministerstwo Edukacji i Nauki, Engineering and Physical Sciences Research Council, Australian Research Council, Instytut Matematyczny, Polskiej Akademii Nauk
Awards: G1100101037, Analysis of PDEs with cross-diffusion and stochastic driving, G149860126, G1711340096, G2346625195, Multicomponent systems with incomplete diffusion, G3320837874, Novel Approaches for Problems with Uncertainties, G3592360517, Derivation and analysis of cross-diffusion systems, G6677828654, G7424373438, Dissipation and dispersion in differential equations, Nonlocal Hydrodynamic Models of Interacting Agents
OpenAlex ID: W4403732748
FWCI: 1.536
Cites: 48
Cited by: 2
Related to: 10