GLOBAL EXISTENCE OF SMOOTH SOLUTIONS FOR THE COMPRESSIBLE VISCOUS FLUID FLOW WITH RADIATION IN R3

被引：0

作者：

Hyejong, O. ^{[1
]}

Hong, Hakho ^{[2
]}

Kim, Jongsung ^{[3
]}

机构：

[1] Kim Chol Ju Univ Educ, Grad Sch, Pyongyang 355, North Korea

[2] State Acad Sci, Inst Math, Pyongyang 355, North Korea

[3] Univ Mech Engn Pyongyang, Sch Math, Pyongyang 355, North Korea

来源：

APPLICATIONS OF MATHEMATICS | 2023年 / 68卷 / 05期

关键词：

radiation hydrodynamics; Navier-Stokes system with radiation; existence; convergence rate; STRONG CONTACT DISCONTINUITY; HYDRODYNAMIC EQUATIONS; ASYMPTOTIC STABILITY; RAREFACTION WAVES; SHOCK PROFILES; DECAY-RATES; TIME BEHAVIOR; MODEL; GAS; LIMIT;

D O I：

10.21136/AM.2023.0059-22

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

This paper is concerned with the 3-D Cauchy problem for the compressible viscous fluid flow taking into account the radiation effect. For more general gases including ideal polytropic gas, we prove that there exists a unique smooth solutions in [0, 8), provided that the initial perturbations are small. Moreover, the time decay rates of the global solutions are obtained for higher-order spatial derivatives of density, velocity, temperature, and the radiative heat flux.

引用

页码：535 / 558

页数：24

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