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Global H2-Regularity Results of the 3D Primitive Equations of the Ocean

Global $H^2$-Regularity Results of the 3D Primitive Equations of the Ocean

Year:    2014

International Journal of Numerical Analysis and Modeling, Vol. 11 (2014), Iss. 3 : pp. 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 L6 estimates developed in [3] and some new energy estimate techniques.

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Journal Article Details

Publisher Name:    Global Science Press

Language:    English

DOI:    https://doi.org/2014-IJNAM-537

International Journal of Numerical Analysis and Modeling, Vol. 11 (2014), Iss. 3 : pp. 452–477

Published online:    2014-01

AMS Subject Headings:    Global Science Press

Copyright:    COPYRIGHT: © Global Science Press

Pages:    26

Keywords:    Primitive equations ocean regularity.