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Local well‐posedness and blow‐up criterion for a compressible Navier‐Stokes‐Fourier‐P1 approximate model arising in radiation hydrodynamics |
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| Authors: | Jishan Fan Fucai Li Gen Nakamura |
| Institution: | 1. Department of Applied Mathematics, Nanjing Forestry University, Nanjing, People's Republic of China;2. Department of Mathematics, Nanjing University, Nanjing, People's Republic of China;3. Department of Mathematics, Hokkaido University, Sapporo, Japan |
| Abstract: | We establish a local well‐posedness and a blow‐up criterion of strong solutions for the compressible Navier‐Stokes‐Fourier‐P1 approximate model arising in radiation hydrodynamics. For the local well‐posedness result, we do not need the assumption on the positivity of the initial density and it may vanish in an open subset of the domain. |
| Keywords: | blow‐up criterion radiation hydrodynamics vacuum well‐posedness |