关键词: 反应对流扩散方程组, 奇异性, 临界Fujita曲线

Abstract:

Using the comparison of energy and constructing selfsimilar supersolutions, the author studied the homogeneous Neumann exterior problem of a coupled reactionconvectiondiffusion system with singular coefficients.The critical Fujita curve, which described whether solutions exist globally or not, was determined and the blowing up theorem of Fujita type was established. This critical Fujita curve depends on the spacial dimension, convection and reaction terms of the system.

Key words: reactionconvectiondiffusion system, singularity, critical Fujita curve