GLOBAL STRONG SOLUTION AND EXPONENTIAL DECAY OF 3D NONHOMOGENEOUS ASYMMETRIC FLUID EQUATIONS WITH VACUUM

doi:10.1007/s10473-021-0503-8

数学物理学报(英文版) ›› 2021, Vol. 41 ›› Issue (5): 1428-1444.doi: 10.1007/s10473-021-0503-8

GLOBAL STRONG SOLUTION AND EXPONENTIAL DECAY OF 3D NONHOMOGENEOUS ASYMMETRIC FLUID EQUATIONS WITH VACUUM

吴国春¹, 钟新²

1. Fujian Province University Key Laboratory of Computational Science, School of Mathematical Sciences, Huaqiao University, Quanzhou 362021, China;
2. School of Mathematics and Statistics, Southwest University, Chongqing 400715, China

收稿日期:2020-05-07 修回日期:2021-04-27 出版日期:2021-10-25 发布日期:2021-10-21
通讯作者: Xin ZHONG E-mail:xzhong1014@amss.ac.cn
作者简介:Guochun WU,E-mail:guochunwu@126.com
基金资助:
Guochun Wu was partially supported by National Natural Science Foundation of China (11701193, 11671086), Natural Science Foundation of Fujian Province (2018J05005, 2017J01562), Program for Innovative Research Team in Science and Technology in Fujian Province University Quanzhou High-Level Talents Support Plan (2017ZT012). Xin Zhong was partially supported by National Natural Science Foundation of China (11901474), the Chongqing Talent Plan for Young Topnotch Talents (CQYC202005074), and the Innovation Support Program for Chongqing Overseas Returnees (cx2020082).

GLOBAL STRONG SOLUTION AND EXPONENTIAL DECAY OF 3D NONHOMOGENEOUS ASYMMETRIC FLUID EQUATIONS WITH VACUUM

Guochun WU¹, Xin ZHONG²

1. Fujian Province University Key Laboratory of Computational Science, School of Mathematical Sciences, Huaqiao University, Quanzhou 362021, China;
2. School of Mathematics and Statistics, Southwest University, Chongqing 400715, China

Received:2020-05-07 Revised:2021-04-27 Online:2021-10-25 Published:2021-10-21
Contact: Xin ZHONG E-mail:xzhong1014@amss.ac.cn
Supported by:
Guochun Wu was partially supported by National Natural Science Foundation of China (11701193, 11671086), Natural Science Foundation of Fujian Province (2018J05005, 2017J01562), Program for Innovative Research Team in Science and Technology in Fujian Province University Quanzhou High-Level Talents Support Plan (2017ZT012). Xin Zhong was partially supported by National Natural Science Foundation of China (11901474), the Chongqing Talent Plan for Young Topnotch Talents (CQYC202005074), and the Innovation Support Program for Chongqing Overseas Returnees (cx2020082).

摘要/Abstract

摘要： We prove the global existence and exponential decay of strong solutions to the three-dimensional nonhomogeneous asymmetric fluid equations with nonnegative density provided that the initial total energy is suitably small. Note that although the system degenerates near vacuum, there is no need to require compatibility conditions for the initial data via time-weighted techniques.

关键词: nonhomogeneous asymmetric fluid equations, global strong solution, exponential decay, vacuum

Abstract: We prove the global existence and exponential decay of strong solutions to the three-dimensional nonhomogeneous asymmetric fluid equations with nonnegative density provided that the initial total energy is suitably small. Note that although the system degenerates near vacuum, there is no need to require compatibility conditions for the initial data via time-weighted techniques.

Key words: nonhomogeneous asymmetric fluid equations, global strong solution, exponential decay, vacuum

中图分类号:

35Q35

吴国春, 钟新. GLOBAL STRONG SOLUTION AND EXPONENTIAL DECAY OF 3D NONHOMOGENEOUS ASYMMETRIC FLUID EQUATIONS WITH VACUUM[J]. 数学物理学报(英文版), 2021, 41(5): 1428-1444.

Guochun WU, Xin ZHONG. GLOBAL STRONG SOLUTION AND EXPONENTIAL DECAY OF 3D NONHOMOGENEOUS ASYMMETRIC FLUID EQUATIONS WITH VACUUM[J]. Acta mathematica scientia,Series B, 2021, 41(5): 1428-1444.

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GLOBAL STRONG SOLUTION AND EXPONENTIAL DECAY OF 3D NONHOMOGENEOUS ASYMMETRIC FLUID EQUATIONS WITH VACUUM

GLOBAL STRONG SOLUTION AND EXPONENTIAL DECAY OF 3D NONHOMOGENEOUS ASYMMETRIC FLUID EQUATIONS WITH VACUUM

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