Volume 11, Issue 3
Global H2-regularity Results of the 3D Primitive Equations of the Ocean

Y. He & J. Wu

DOI:

Int. J. Numer. Anal. Mod., 11 (2014), pp. 452-477

Published online: 2014-11

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  • Abstract

In this article, we consider the 3D viscous primitive equations (PEs for brevity) of the ocean under two physically relevant boundary conditions for the H¹ and H² smooth initial data, respectively. The H² regularity result of the solution for the viscous PEs of the ocean has been unknown since the work by Cao and Titi [3], and Kobelkov [26]. In this article we provide the global H²-regularity results of the solution and its time derivatives for the 3D viscous primitive equations of the ocean by using the L^6 estimates developed in [3] and some new energy estimate techniques.

  • Keywords

Primitive equations ocean regularity

  • AMS Subject Headings

35B41 35Q35 37L 65M70 86A10

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COPYRIGHT: © Global Science Press

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@Article{IJNAM-11-452, author = {Y. He and J. Wu}, title = {Global H2-regularity Results of the 3D Primitive Equations of the Ocean}, journal = {International Journal of Numerical Analysis and Modeling}, year = {2014}, volume = {11}, number = {3}, pages = {452--477}, abstract = {In this article, we consider the 3D viscous primitive equations (PEs for brevity) of the ocean under two physically relevant boundary conditions for the H¹ and H² smooth initial data, respectively. The H² regularity result of the solution for the viscous PEs of the ocean has been unknown since the work by Cao and Titi [3], and Kobelkov [26]. In this article we provide the global H²-regularity results of the solution and its time derivatives for the 3D viscous primitive equations of the ocean by using the L^6 estimates developed in [3] and some new energy estimate techniques.}, issn = {2617-8710}, doi = {https://doi.org/}, url = {http://global-sci.org/intro/article_detail/ijnam/537.html} }
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