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Applied Mathematics and Mechanics (English Edition) ›› 2012, Vol. 33 ›› Issue (1): 129-138.doi: https://doi.org/10.1007/s10483-012-1538-8

• Articles • 上一篇    

Uniform blow-up rate for compressible reactive gas model

徐润章 姜晓丽 刘杰   

  1. College of Science, Harbin Engineering University, Harbin 150001, P. R. China
  • 收稿日期:2011-05-30 修回日期:2011-11-30 出版日期:2011-12-29 发布日期:2012-01-01

Uniform blow-up rate for compressible reactive gas model

 XU Run-Zhang, JIANG Xiao-Li, LIU Jie   

  1. College of Science, Harbin Engineering University, Harbin 150001, P. R. China
  • Received:2011-05-30 Revised:2011-11-30 Online:2011-12-29 Published:2012-01-01

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摘要： The Dirichlet initial-boundary value problem of a compressible reactive gas model equation with a nonlocal nonlinear source term is investigated. Under certain conditions, it can be proven that the blow-up rate is uniform in all compact subsets of the domain, and the blow-up rate is irrelative to the exponent of the diffusion term, however, relative to the exponent of the nonlocal nonlinear source.

Abstract: The Dirichlet initial-boundary value problem of a compressible reactive gas model equation with a nonlocal nonlinear source term is investigated. Under certain conditions, it can be proven that the blow-up rate is uniform in all compact subsets of the domain, and the blow-up rate is irrelative to the exponent of the diffusion term, however, relative to the exponent of the nonlocal nonlinear source.

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