Local existence and finite-time blow-up in multidimensional radiation hydrodynamics
نویسندگان
چکیده
We first prove the local existence of smooth solutions to the Cauchy problem for the equations of multidimensional radiation hydrodynamics which are a hyperbolicBoltzmann 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.
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تاریخ انتشار 2006