On the Stability of Weak Solution for Compressible Primitive Equations

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• 作者：Tong Tang ; Hongjun Gao
• 关键词：Compressible Primitive equations ; Weak solution ; Stability ; 35Q35
• 刊名：Acta Applicandae Mathematicae
• 出版年：2015
• 出版时间：December 2015
• 年：2015
• 卷：140
• 期：1
• 页码：133-145
• 全文大小：907 KB
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• 作者单位：Tong Tang (1)
  Hongjun Gao (2) (3)
  
  1. Department of Mathematics, College of Sciences, Hohai University, Nanjing, 210098, P.R. China
  2. Jiangsu Key Laboratory for NSLSCS and School of Mathematical Sciences, Nanjing Normal University, Nanjing, 210023, China
  3. Institute of Mathematics, Jilin University, Changchun, 130012, China
  
• 刊物主题：Mathematics, general; Computer Science, general; Theoretical, Mathematical and Computational Physics; Statistical Physics, Dynamical Systems and Complexity; Mechanics;
• 出版者：Springer Netherlands
• ISSN：1572-9036

文摘

In this paper, we study a compressible Primitive Equations (CPEs) of the ocean in the two dimensional space, with horizontal periodic and vertical mixed boundary conditions. Thanks to an effective change of variables, we obtain a new CPEs model, which is similar as viscous shallow water equation. Using a new entropy estimate, we prove the stability of weak solutions for this new two dimensional CPEs model. Keywords Compressible Primitive equations Weak solution Stability