Global existence and large-time behavior of solutions to one-dimensional compressible Navier-Stokes system with outer pressure in the half-space

被引：0

作者：

Han, Xiaomin ^{[1
]}

Wu, Yunshun ^{[2
]}

Zhang, Rong ^{[1
,3
]}

机构：

[1] Nanchang Univ, Sch Math & Comp Sci, Nanchang 330000, Peoples R China

[2] Guizhou Normal Univ, Sch Math Sci, Guiyang 550025, Peoples R China

[3] Nanchang Univ, Inst Math & Interdisciplinary Sci, Nanchang 330031, Peoples R China

来源：

JOURNAL OF MATHEMATICAL PHYSICS | 2025年 / 66卷 / 01期

基金：

中国国家自然科学基金;

关键词：

POLYTROPIC IDEAL-GAS; CAUCHY-PROBLEM; ASYMPTOTIC-BEHAVIOR; EQUATIONS; MOTION;

D O I：

10.1063/5.0244202

中图分类号：

O4 [物理学];

学科分类号：

0702 ;

摘要：

The outer pressure problem of the compressible Navier-Stokes system in the Lagrangian coordinate system describing the one-dimensional motion of a viscous heat-conducting prefect polytropic gas in half-space is studied. Both the specific volume and the temperature are proved to be bounded from below and above independently of both space and time, and as a direct consequence, the global existence and large-time behavior of strong solutions for the outer pressure problem in the half-space is also obtained.

引用

页数：18

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