Solvability of primitive equations for the ocean with vertical mixing

Proceedings of the Japan Academy, Series A. Mathematical Sciences

article

Hirotada Honda¹ 

[1] NTT Network Technology Laboratories

关键词: Primitive equations;    Sobolev-Slobodetski space;    strong solution.;   

DOI  :  10.3792/pjaa.88.132

学科分类：数学（综合）

来源: Japan Academy

【 摘 要 】

Small time existence of a strong solution to the free surface problem of primitive equations for the ocean with the variable turbulent viscosity terms is shown in this paper. The turbulent viscosity coefficients, which include the Richardson number depending on the unknown variables, are formulated explicitly. We consider the problem in the 3-dimensional stripe-like region, and construct the strong local-in-time solution in Sobolev-Slobodetskiĭ spaces. The details of the proofs will be provided in another full paper.

【 授权许可】

Unknown