Global Well-Posedness and Large-Time Behavior for the Equilibrium Diffusion Model in Radiation Hydrodynamics
In this paper, we investigate the global well-posedness of the equilibrium diffusion model in radiation hydrodynamics. The model consists of the compressible Navier-Stokes equations coupled with radiation effect terms described by the fourth power of temperature. The global existence of classical so...
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| Format: | Article |
| Language: | English |
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Wiley
2023-01-01
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| Series: | Journal of Function Spaces |
| Online Access: | http://dx.doi.org/10.1155/2023/2891000 |
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| _version_ | 1832547986973917184 |
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| author | Peng Jiang Jinkai Ni Lu Zhu |
| author_facet | Peng Jiang Jinkai Ni Lu Zhu |
| author_sort | Peng Jiang |
| collection | DOAJ |
| description | In this paper, we investigate the global well-posedness of the equilibrium diffusion model in radiation hydrodynamics. The model consists of the compressible Navier-Stokes equations coupled with radiation effect terms described by the fourth power of temperature. The global existence of classical solutions to the Cauchy problem in the whole space is established when initial data is a small smooth perturbation of a constant equilibrium state: moreover, an algebraic rate of convergence of solutions toward equilibrium is obtained under additional conditions on initial data. The proof is based on the refined energy method and Fourier’s analysis. |
| format | Article |
| id | doaj-art-573dff8df71d495bb7d7dc42f1720aad |
| institution | Kabale University |
| issn | 2314-8888 |
| language | English |
| publishDate | 2023-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | Journal of Function Spaces |
| spelling | doaj-art-573dff8df71d495bb7d7dc42f1720aad2025-02-03T06:42:40ZengWileyJournal of Function Spaces2314-88882023-01-01202310.1155/2023/2891000Global Well-Posedness and Large-Time Behavior for the Equilibrium Diffusion Model in Radiation HydrodynamicsPeng Jiang0Jinkai Ni1Lu Zhu2Department of MathematicsDepartment of MathematicsDepartment of MathematicsIn this paper, we investigate the global well-posedness of the equilibrium diffusion model in radiation hydrodynamics. The model consists of the compressible Navier-Stokes equations coupled with radiation effect terms described by the fourth power of temperature. The global existence of classical solutions to the Cauchy problem in the whole space is established when initial data is a small smooth perturbation of a constant equilibrium state: moreover, an algebraic rate of convergence of solutions toward equilibrium is obtained under additional conditions on initial data. The proof is based on the refined energy method and Fourier’s analysis.http://dx.doi.org/10.1155/2023/2891000 |
| spellingShingle | Peng Jiang Jinkai Ni Lu Zhu Global Well-Posedness and Large-Time Behavior for the Equilibrium Diffusion Model in Radiation Hydrodynamics Journal of Function Spaces |
| title | Global Well-Posedness and Large-Time Behavior for the Equilibrium Diffusion Model in Radiation Hydrodynamics |
| title_full | Global Well-Posedness and Large-Time Behavior for the Equilibrium Diffusion Model in Radiation Hydrodynamics |
| title_fullStr | Global Well-Posedness and Large-Time Behavior for the Equilibrium Diffusion Model in Radiation Hydrodynamics |
| title_full_unstemmed | Global Well-Posedness and Large-Time Behavior for the Equilibrium Diffusion Model in Radiation Hydrodynamics |
| title_short | Global Well-Posedness and Large-Time Behavior for the Equilibrium Diffusion Model in Radiation Hydrodynamics |
| title_sort | global well posedness and large time behavior for the equilibrium diffusion model in radiation hydrodynamics |
| url | http://dx.doi.org/10.1155/2023/2891000 |
| work_keys_str_mv | AT pengjiang globalwellposednessandlargetimebehaviorfortheequilibriumdiffusionmodelinradiationhydrodynamics AT jinkaini globalwellposednessandlargetimebehaviorfortheequilibriumdiffusionmodelinradiationhydrodynamics AT luzhu globalwellposednessandlargetimebehaviorfortheequilibriumdiffusionmodelinradiationhydrodynamics |