Convergence Results on Heat Source for 2D Viscous Primitive Equations of Ocean Dynamics

LI Yuanfei

doi:10.21656/1000-0887.400176

Volume 41 Issue 3

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LI Yuanfei. Convergence Results on Heat Source for 2D Viscous Primitive Equations of Ocean Dynamics[J]. Applied Mathematics and Mechanics, 2020, 41(3): 339-352. doi: 10.21656/1000-0887.400176

Citation:

LI Yuanfei. Convergence Results on Heat Source for 2D Viscous Primitive Equations of Ocean Dynamics[J]. Applied Mathematics and Mechanics, 2020, 41(3): 339-352. doi: 10.21656/1000-0887.400176

Citation:

LI Yuanfei. Convergence Results on Heat Source for 2D Viscous Primitive Equations of Ocean Dynamics[J]. Applied Mathematics and Mechanics, 2020, 41(3): 339-352. doi: 10.21656/1000-0887.400176

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Convergence Results on Heat Source for 2D Viscous Primitive Equations of Ocean Dynamics

doi: 10.21656/1000-0887.400176

LI Yuanfei

Department of Apllied Mathematics, Huashang College, Guangdong University of Finance & Economics, Guangzhou 511300, P.R.China

Received Date: 2019-05-30
Rev Recd Date: 2019-07-22
Publish Date: 2020-03-01

Abstract

Abstract

The convergence of solutions to 2D viscous primitive equations of ocean dynamics in a cylindrical region was considered. A key parameter in this model is heat source, which is known to cause resonance between the inner layers of fluid and in turn trigger instability. Therefore, through derivation of the priori bounds of the equations, the convergence of solutions to the equations on the heat source itself was obtained.
- primitive equations of ocean dynamics,
- heat source,
- convergence,
- structural stability

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References(28)

References

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