- Research Article
- Open Access
Local Smooth Solution and Non-Relativistic Limit of Radiation Hydrodynamics Equations
© Jianwei Yang et al. 2010
- Received: 5 May 2010
- Accepted: 16 July 2010
- Published: 1 August 2010
We investigate a multidimensional nonisentropic radiation hydrodynamics model. We study the local existence and the convergence of the nonisentropic radiation hydrodynamics equations via the non-relativistic limit. The local existence of smooth solutions to both systems is obtained. For well-prepared initial data, the convergence of the limit is rigorously justified by an analysis of asymptotic expansion, an energy method, and an iterative scheme. We also establish uniform a priori estimates with respect to .
- Differential Equation
- Partial Differential Equation
- Ordinary Differential Equation
- Functional Equation
- Smooth Solution
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