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November/December 2020 Primitive Equations with half horizontal viscosity
Martin Saal
Adv. Differential Equations 25(11/12): 651-685 (November/December 2020). DOI: 10.57262/ade/1605150118

Abstract

We consider the $3D$ primitive equations and show, that one does need less than horizontal viscosity to obtain a well-posedness result in Sobolev spaces. Furthermore, we will also investigate the primitive equations with horizontal viscosity and show that these equations are well-posed without imposing any boundary condition for the horizontal velocity components on the vertical boundary.

Citation

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Martin Saal. "Primitive Equations with half horizontal viscosity." Adv. Differential Equations 25 (11/12) 651 - 685, November/December 2020. https://doi.org/10.57262/ade/1605150118

Information

Published: November/December 2020
First available in Project Euclid: 12 November 2020

MathSciNet: MR4173172
Digital Object Identifier: 10.57262/ade/1605150118

Subjects:
Primary: 35Q35
Secondary: 35M10 , 35Q86 , 76D03 , 86A05 , 86A10

Rights: Copyright © 2020 Khayyam Publishing, Inc.

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Vol.25 • No. 11/12 • November/December 2020
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