Article
| Title: | Global existence of smooth solutions for the compressible viscous fluid flow with radiation in $\mathbb {R}^3$ (English) |
| Author: | O, Hyejong |
| Author: | Hong, Hakho |
| Author: | Kim, Jongsung |
| Language: | English |
| Journal: | Applications of Mathematics |
| ISSN: | 0862-7940 (print) |
| ISSN: | 1572-9109 (online) |
| Volume: | 68 |
| Issue: | 5 |
| Year: | 2023 |
| Pages: | 535-558 |
| Summary lang: | English |
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| Category: | math |
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| Summary: | 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. (English) |
| Keyword: | radiation hydrodynamics |
| Keyword: | Navier-Stokes system with radiation |
| Keyword: | existence |
| Keyword: | convergence rate |
| MSC: | 35A01 |
| MSC: | 35B40 |
| MSC: | 76N10 |
| DOI: | 10.21136/AM.2023.0059-22 |
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| Date available: | 2023-10-05T15:07:42Z |
| Last updated: | 2023-10-09 |
| Stable URL: | http://hdl.handle.net/10338.dmlcz/151831 |
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