Geodesic
Global existence of smooth solutions for the compressible viscous fluid flow with radiation in $\mathbb {R}^3$
Applications of Mathematics, Tome 68 (2023) no. 5, pp. 535-558

Voir la notice de l'article provenant de la source Czech Digital Mathematics Library

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.
DOI : 10.21136/AM.2023.0059-22
Classification : 35A01, 35B40, 76N10
Keywords: radiation hydrodynamics; Navier-Stokes system with radiation; existence; convergence rate 
@article{10_21136_AM_2023_0059_22,
     author = {O, Hyejong and Hong, Hakho and Kim, Jongsung},
     title = {Global existence of smooth solutions for the compressible viscous fluid flow with radiation in $\mathbb {R}^3$},
     journal = {Applications of Mathematics},
     pages = {535--558},
     publisher = {mathdoc},
     volume = {68},
     number = {5},
     year = {2023},
     doi = {10.21136/AM.2023.0059-22},
     language = {en},
     url = {http://geodesic.mathdoc.fr/articles/10.21136/AM.2023.0059-22/}
}
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
SP  - 535
EP  - 558
VL  - 68
IS  - 5
PB  - mathdoc
UR  - http://geodesic.mathdoc.fr/articles/10.21136/AM.2023.0059-22/
DO  - 10.21136/AM.2023.0059-22
LA  - en
ID  - 10_21136_AM_2023_0059_22
ER  - 
%0 Journal Article
%A O, Hyejong
%A Hong, Hakho
%A Kim, Jongsung
%T Global existence of smooth solutions for the compressible viscous fluid flow with radiation in $\mathbb {R}^3$
%J Applications of Mathematics
%D 2023
%P 535-558
%V 68
%N 5
%I mathdoc
%U http://geodesic.mathdoc.fr/articles/10.21136/AM.2023.0059-22/
%R 10.21136/AM.2023.0059-22
%G en
%F 10_21136_AM_2023_0059_22
O, Hyejong; Hong, Hakho; Kim, Jongsung. Global existence of smooth solutions for the compressible viscous fluid flow with radiation in $\mathbb {R}^3$. Applications of Mathematics, Tome 68 (2023) no. 5, pp. 535-558. doi: 10.21136/AM.2023.0059-22

Cité par Sources :