- Research Article
- Open Access
Local Smooth Solution and Non-Relativistic Limit of Radiation Hydrodynamics Equations
Boundary Value Problems volume 2010, Article number: 716451 (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 .
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Yang, J., Wang, S. & Li, Y. Local Smooth Solution and Non-Relativistic Limit of Radiation Hydrodynamics Equations. Bound Value Probl 2010, 716451 (2010). https://doi.org/10.1155/2010/716451
- Differential Equation
- Partial Differential Equation
- Ordinary Differential Equation
- Functional Equation
- Smooth Solution