On the Cauchy problem of 2D compressible fluid model with the horizontal thermal gradient effect

被引：0

作者：

Liu, Ruikuan ^{[1
]}

Wu, Chenlong ^{[1
]}

Yang, Jiayan ^{[2
]}

机构：

[1] Southwest Petr Univ, Sch Sci, Chengdu 610500, Sichuan, Peoples R China

[2] Southwest Med Univ, Sch Med Informat & Engn, Luzhou 646000, Sichuan, Peoples R China

来源：

JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS | 2025年 / 541卷 / 02期

关键词：

Compressible fluid model; Strong solutions; The Cauchy problem; The horizontal thermal gradient effect; NAVIER-STOKES EQUATIONS; BOUNDARY-VALUE-PROBLEMS; CLASSICAL-SOLUTIONS; STRUCTURAL BIFURCATION; GLOBAL-SOLUTIONS; BLOW-UP; EXISTENCE; MOTION; FLOWS;

D O I：

10.1016/j.jmaa.2024.128722

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

This article mainly investigates the existence of local strong solution to the Cauchy problem of the 2D compressible fluid model with the horizontal thermal gradient effect. By using delicate weighted energy estimates, the existence of a local strong solution is obtained with the initial density and the initial temperature decay not too slowly at infinity. (c) 2024 Elsevier Inc. All rights are reserved, including those for text and data mining, AI training, and similar technologies.

引用

页数：21

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