ON THE WELL-POSEDNESS OF THE STOCHASTIC 2D PRIMITIVE EQUATIONS

Chengfeng Sun; Lijuan Su; Hui Liu

doi:10.11948/20200132

2021 Volume 11 Issue 3

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Chengfeng Sun, Lijuan Su, Hui Liu. ON THE WELL-POSEDNESS OF THE STOCHASTIC 2D PRIMITIVE EQUATIONS[J]. Journal of Applied Analysis & Computation, 2021, 11(3): 1273-1295. doi: 10.11948/20200132

Citation:

Chengfeng Sun, Lijuan Su, Hui Liu. ON THE WELL-POSEDNESS OF THE STOCHASTIC 2D PRIMITIVE EQUATIONS[J]. Journal of Applied Analysis & Computation, 2021, 11(3): 1273-1295. doi: 10.11948/20200132

ON THE WELL-POSEDNESS OF THE STOCHASTIC 2D PRIMITIVE EQUATIONS

1.
School of Applied Mathematics, Nanjing University of Finance and Economics, Nanjing, 210023, China
2.
School of Mathematical Sciences, Qufu Normal University, Qufu, Shandong 273165, China

Corresponding author: Email: liuhuinanshi@qfnu.edu.cn(H. Liu)
Fund Project: The authors were supported by a China NSF Grant (11701269, 11901342) and China Postdoctoral Science Foundation (2019M652350) and Postdoctoral Innovation Project of Shandong Province (202003040) and the Natural Science Foundation of Shandong Province (ZR2018QA002)

Abstract

Abstract

Under non-Lipschitz conditions for the external force term and noise term, the two-dimensional stochastic primitive equations are studied in this paper. Based on Galerkin method, iterative method and the moment estimations, we prove the existence and uniqueness of the solutions in a fixed probability space.
- Primitive equations /
- existence and uniqueness /
- non-Lipschtiz conditions
MSC: 35Q99, 60H15, 76M35, 86A05, 86A10

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References

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