Preprint 2006-012

Local Existence and Finite-Time Blow-Up in Multidimensional Radiation Hydrodynamics

Xinhua Zhong and Song Jiang

Abstract: 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.

Paper:: Available as PDF (232 Kbytes).
Author(s):: Xinhua Zhong, zhong_xinhua (at) iapcm ac cn; Song Jiang, jiang (at) iapcm ac cn
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Submitted by:: jiang (at) iapcm ac cn; 2006-03-09.

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Last modified: 2006-03-26 17:39 UTC