Sequential stability of weak martingale solutions to stochastic compressible Navier-Stokes equations with viscosity vanishing on vacuum
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.
Authors
- Gaurav Dhariwal (ORCID: https://orcid.org/0000-0001-5042-0036)
- Zdzisław Brzeźniak (ORCID: https://orcid.org/0000-0001-8731-6523)
- Ewelina Zatorska (ORCID: https://orcid.org/0000-0003-0468-4975)
Publication Details
- Journal
- Journal of Differential Equations
- Published
- 2024-10-24
- DOI
- https://doi.org/10.1016/j.jde.2024.10.016
- Primary Topic
- Navier-Stokes equation solutions
- Type
- article
- Field-Weighted Citation Impact
- 0.00
Funders
- National Natural Science Foundation of China
- Austrian Science Fund
- Ministerstwo Edukacji i Nauki
- Engineering and Physical Sciences Research Council
- Instytut Matematyczny, Polskiej Akademii Nauk