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

doi:10.1007/s10473-020-0510-1

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

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. 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 WANG^2,3

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/Abstract

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

酒全森, 王凤超. LOCAL EXISTENCE AND UNIQUENESS OF STRONG SOLUTIONS TO THE TWO DIMENSIONAL NONHOMOGENEOUS INCOMPRESSIBLE PRIMITIVE EQUATIONS[J]. 数学物理学报(英文版), 2020, 40(5): 1316-1334.

Quansen JIU, Fengchao WANG. LOCAL EXISTENCE AND UNIQUENESS OF STRONG SOLUTIONS TO THE TWO DIMENSIONAL NONHOMOGENEOUS INCOMPRESSIBLE PRIMITIVE EQUATIONS[J]. Acta mathematica scientia,Series B, 2020, 40(5): 1316-1334.

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

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

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