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| Main Authors: | , , |
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| Format: | Preprint |
| Published: |
2025
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| Subjects: | |
| Online Access: | https://arxiv.org/abs/2503.05841 |
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| _version_ | 1866912266700455936 |
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| author | Choe, Kwang-Il Choe, Dae-Won Pak, Myong Chol |
| author_facet | Choe, Kwang-Il Choe, Dae-Won Pak, Myong Chol |
| contents | The low Mach number limit for the compressible viscous diffusion approximation model arising in radiation hydrodynamics is rigorously justified. For the 3-D Cauchy problem, the solutions in an equilibrium diffusion regime are shown to converge to the solutions of an incompressible Navier-Stokes equations locally and globally in time as Mach number goes to zero, when the effect of the small temperature variation upon the limit is taken into account. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2503_05841 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | Low Mach number limit for the diffusion approximation model in radiation hydrodynamics at equilibrium-diffusion regime Choe, Kwang-Il Choe, Dae-Won Pak, Myong Chol Analysis of PDEs Fluid Dynamics The low Mach number limit for the compressible viscous diffusion approximation model arising in radiation hydrodynamics is rigorously justified. For the 3-D Cauchy problem, the solutions in an equilibrium diffusion regime are shown to converge to the solutions of an incompressible Navier-Stokes equations locally and globally in time as Mach number goes to zero, when the effect of the small temperature variation upon the limit is taken into account. |
| title | Low Mach number limit for the diffusion approximation model in radiation hydrodynamics at equilibrium-diffusion regime |
| topic | Analysis of PDEs Fluid Dynamics |
| url | https://arxiv.org/abs/2503.05841 |