| Issue |
ESAIM: PS
Volume 26, 2022
|
|
|---|---|---|
| Page(s) | 243 - 264 | |
| DOI | https://doi.org/10.1051/ps/2022006 | |
| Published online | 20 May 2022 | |
Martingale Solutions of the Stochastic 2D Primitive Equations with Anisotropic Viscosity*
1 School of Applied Mathematics, Nanjing University of Finance and Economics, Nanjing 210023, PR China
2 School of Mathematics, Southeast University, Nanjing 211189, PR China
3 School of Mathematical Sciences, Qufu Normal University, Qufu 273165, PR China
** Corresponding author: hjgao@seu.edu.cn
Received:
3
July
2021
Accepted:
19
April
2022
The stochastic 2D primitive equations with anisotropic viscosity are studied in this paper. The existence of the martingale solutions and pathwise uniqueness of the solutions are obtained. The proof is based on anisotropic estimates, the compactness method, tightness criteria and the Jakubowski version of the Skorokhod theorem for nonmetric spaces.
Mathematics Subject Classification: 35Q35 / 60H15 / 60H30
Key words: Stochastic primitive equations / anisotropic viscosity / Martingale solutions
© The authors. Published by EDP Sciences, SMAI 2022
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