## Abstract We investigate a multi‐dimensional isentropic hydrodynamic (Euler–Poisson) model for semiconductors, where the energy equation is replaced by the pressure–density relation __p__(__n__) . We establish the global existence of smooth solutions for the Cauchy–Neumann problem with small pert
The initial value problem for a multi-dimensional radiation hydrodynamics model with viscosity
✍ Scribed by Wenjun Wang; Feng Xie
- Publisher
- John Wiley and Sons
- Year
- 2010
- Tongue
- English
- Weight
- 245 KB
- Volume
- 34
- Category
- Article
- ISSN
- 0170-4214
- DOI
- 10.1002/mma.1398
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✦ Synopsis
In this paper, we study the existence and time-asymptotic behavior of solutions to the Cauchy problem for the equations of radiation hydrodynamics with viscosity in R 3 . The global existence of the solutions is obtained by using the energy method. With more elaborate energy estimates, we also give some decay rates of the solutions.
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