EXISTENCE OF TIME PERIODIC SOLUTIONS FOR THE 3-D VISCOUS PRIMITIVE EQUATIONS OF LARGE-SCALE DRY ATMOSPHERE

Wei Luo; Xianyun Du

doi:10.11948/2156-907X.20180143

2019 Volume 9 Issue 2

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Wei Luo, Xianyun Du. EXISTENCE OF TIME PERIODIC SOLUTIONS FOR THE 3-D VISCOUS PRIMITIVE EQUATIONS OF LARGE-SCALE DRY ATMOSPHERE[J]. Journal of Applied Analysis & Computation, 2019, 9(2): 691-717. doi: 10.11948/2156-907X.20180143

Citation:

Wei Luo, Xianyun Du. EXISTENCE OF TIME PERIODIC SOLUTIONS FOR THE 3-D VISCOUS PRIMITIVE EQUATIONS OF LARGE-SCALE DRY ATMOSPHERE[J]. Journal of Applied Analysis & Computation, 2019, 9(2): 691-717. doi: 10.11948/2156-907X.20180143

EXISTENCE OF TIME PERIODIC SOLUTIONS FOR THE 3-D VISCOUS PRIMITIVE EQUATIONS OF LARGE-SCALE DRY ATMOSPHERE

Wei Luo^1, ,,
Xianyun Du¹

1.
College of mathematics, Chengdu university of information technology, 610225 Chengdu, China

Corresponding author: Email address:luo1102@foxmail.com(W. Luo)
Fund Project: The authors were supported by the Applied Basic Research Programs of Sichuan Province (Grant No: 18YYJC0990)

Abstract

Abstract

In this paper, we consider the existence of time periodic solutions of the 3-D viscous primitive equations of large-scale dry atmosphere. We used the Galerkin method. Firstly, by Leray-Schauder fixed point theorem, we prove the existence of approximate solutions of the primitive equations, then we show the convergence of the approximate solutions, and we also get the uniqueness to the primitive equations.
- Primitive equations /
- time periodic solutions /
- navier-stokes equation
MSC: 35R45, 37L55

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References

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