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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.
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页码：535 / 558
页数：24
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