Journal of Mathematical Fluid Mechanics

, Volume 9, Issue 4, pp 543–564

Local Existence and Finite-time Blow-up in Multidimensional Radiation Hydrodynamics

Article

DOI: 10.1007/s00021-005-0213-3

Cite this article as:
Zhong, X. & Jiang, S. J. math. fluid mech. (2007) 9: 543. doi:10.1007/s00021-005-0213-3

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.

Mathematics Subject Classification (2000).

Primary 76-02 Secondary 76N15, 76N10, 35L45, 35L65, 76X05, 35Q35 

Keywords.

Radiation hydrodynamics multidimensions local existence finite-time blow-up finite propagation speed 

Copyright information

© Birkhaueser 2006

Authors and Affiliations

  1. 1.Department of Basic CoursesBeijing Information Technology InstituteBeijingChina
  2. 2.Institute of Applied Physics and Computational MathematicsBeijingChina

Personalised recommendations