GLOBAL CLASSICAL LARGE SOLUTIONS FOR THE RADIATION HYDRODYNAMICS MODEL IN UNBOUNDED DOMAINS

被引：0

作者：

Wei, Jing ^{[1
]}

Zhang, Minyi ^{[1
]}

Zhu, Changjiang ^{[1
]}

机构：

[1] South China Univ Technol, Sch Math, Guangzhou 510641, Peoples R China

来源：

SIAM JOURNAL ON MATHEMATICAL ANALYSIS | 2024年 / 56卷 / 04期

基金：

中国国家自然科学基金;

关键词：

Key words. radiation hydrodynamics model; initial and initial boundary value problems; global classical solutions; large initial data; NAVIER-STOKES EQUATIONS; SPHERICALLY SYMMETRIC-SOLUTIONS; COMPRESSIBLE VISCOUS-GAS; BOUNDARY-VALUE-PROBLEMS; POLYTROPIC IDEAL-GAS; LARGE-TIME BEHAVIOR; ASYMPTOTIC STABILITY; RAREFACTION WAVES; CONTACT WAVE; EXISTENCE;

D O I：

10.1137/23M1598581

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

This paper is concerned with the global existence of large solutions to the initial and efficient and temperature-dependent heat conductivity coefficient. In particular, the initial data and \gamma - 1 could be arbitrarily large. Compared with the classical compressible Navier--Stokes equations, the research on the radiation hydrodynamics model is more complicated due to the presence of the radiation effect. To overcome difficulties caused by the radiation, inspired by [J. Li and Z. L. Liang, Anal., 55 (2023), pp. 6229--6261], we construct a pointwise estimate between the radiative heat flux and the temperature; then we can establish the desired basic energy estimate by considering that the temperature has lower and upper bounds separately. And once that is obtained, the main result is proved by employing the elementary energy methods.

引用

页码：4811 / 4833

页数：23

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