Local Existence and Finite-time Blow-up in Multidimensional Radiation Hydrodynamics
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- Zhong, X. & Jiang, S. J. math. fluid mech. (2007) 9: 543. doi:10.1007/s00021-005-0213-3
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We first prove the local existence of smooth solutions to the Cauchy problem for the equations of multidimensional radiation hydrodynamics which are a hyperbolic-Boltzmann coupled system. Then, we show that a smooth solution will blow up in finite time if the initial data are large. Moreover, the property of finite propagation speed is obtained simultaneously.