Uniform Blow-Up Rate for a Compressible Reactive Gas Model
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摘要: 研究一类带有非线性非局部源项的可压缩反应气体模型方程的Dirichlet初始边界值问题.在一些假设条件下,证明了爆破率在有界域的所有紧子集中是一致的,并且证明了爆破率只与非线性非局部源的指数有关,而与扩散项的指数无关.Abstract: The Dirichlet initial-boundary value problem of a compressible reactive gas model equation with nonlocal nonlinear source term was studied. For certain conditions, it is proved 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, but relative to the exponent of the nonlocal nonlinear source.
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