Global existence of smooth solutions for the compressible viscous fluid flow with radiation in ℝ 3

Hyejong O; Hakho Hong; Jongsung Kim

Applications of Mathematics (2023)

  • Volume: 68, Issue: 5, page 535-558
  • ISSN: 0862-7940

Abstract

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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 , ∞ ) , 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.

How to cite

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O, Hyejong, Hong, Hakho, and Kim, Jongsung. "Global existence of smooth solutions for the compressible viscous fluid flow with radiation in $\mathbb {R}^3$." Applications of Mathematics 68.5 (2023): 535-558. <http://eudml.org/doc/299552>.

@article{O2023,
abstract = {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 $[0,\infty )$, 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.},
author = {O, Hyejong, Hong, Hakho, Kim, Jongsung},
journal = {Applications of Mathematics},
keywords = {radiation hydrodynamics; Navier-Stokes system with radiation; existence; convergence rate},
language = {eng},
number = {5},
pages = {535-558},
publisher = {Institute of Mathematics, Academy of Sciences of the Czech Republic},
title = {Global existence of smooth solutions for the compressible viscous fluid flow with radiation in $\mathbb \{R\}^3$},
url = {http://eudml.org/doc/299552},
volume = {68},
year = {2023},
}

TY - JOUR
AU - O, Hyejong
AU - Hong, Hakho
AU - Kim, Jongsung
TI - Global existence of smooth solutions for the compressible viscous fluid flow with radiation in $\mathbb {R}^3$
JO - Applications of Mathematics
PY - 2023
PB - Institute of Mathematics, Academy of Sciences of the Czech Republic
VL - 68
IS - 5
SP - 535
EP - 558
AB - 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 $[0,\infty )$, 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.
LA - eng
KW - radiation hydrodynamics; Navier-Stokes system with radiation; existence; convergence rate
UR - http://eudml.org/doc/299552
ER -

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