数学物理学报(英文版) ›› 2020, Vol. 40 ›› Issue (5): 1316-1334.doi: 10.1007/s10473-020-0510-1

• 论文 • 上一篇    下一篇

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

酒全森1, 王凤超2,3   

  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
  • 收稿日期:2019-02-15 修回日期:2020-05-09 出版日期:2020-10-25 发布日期:2020-11-04
  • 通讯作者: Fengchao WANG E-mail:wfcwymm@163.com
  • 作者简介:Quansen JIU,E-mail:jiuqs@cnu.edu.cn
  • 基金资助:
    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).

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).

摘要: 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.

关键词: local existence and uniqueness, strong solutions, nonhomogeneous incompressible primitive equations

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

中图分类号: 

  • 35Q35