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.
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.
基金
supported by the National Natural Science Foundation of China (No. 11101102)
the Specialized Research Fund for the Doctoral Program of Higher Education of China (No. 20102304120022)
the Natural Science Foundation of Heilongjiang Province of China (No. A201014)
the Foundational Science Foundation of Harbin Engineering University
the Fundamental Research Funds for the Central Universities (No. HEUCF20111101)
