Acta mathematica scientia,Series B ›› 2020, Vol. 40 ›› Issue (5): 1316-1334.doi: 10.1007/s10473-020-0510-1

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LOCAL EXISTENCE AND UNIQUENESS OF STRONG SOLUTIONS TO THE TWO DIMENSIONAL NONHOMOGENEOUS INCOMPRESSIBLE PRIMITIVE EQUATIONS

Quansen JIU1, Fengchao WANG2,3   

  1. 1. School of Mathematical Sciences, Capital Normal University, Beijing 100048, China;
    2. Advanced Institute of Natural Sciences, Beijing Normal University at Zhuhai, Zhuhai 519087, China;
    3. School of Mathematical Sciences, Beijing Normal University and Key Laboratory of Mathematics and Complex Systems, Ministry of Education Beijing 100875, China
  • Received:2019-02-15 Revised:2020-05-09 Online:2020-10-25 Published:2020-11-04
  • Contact: Fengchao WANG E-mail:wfcwymm@163.com
  • Supported by:
    Q.S. Jiu was partially supported by the National Natural Science Foundation of China (11671273 and 11931010), key research project of the Academy for Multidisciplinary Studies of CNU and Beijing Natural Science Foundation (1192001).

Abstract: In this article, we study the initial boundary value problem of the two-dimensional nonhomogeneous incompressible primitive equations and obtain the local existence and uniqueness of strong solutions. The initial vacuum is allowed.

Key words: local existence and uniqueness, strong solutions, nonhomogeneous incompressible primitive equations

CLC Number: 

  • 35Q35
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