具奇异系数的耦合反应-对流-扩散方程组的临界Fujita曲线

利用能量比较和构造自相似上解的方法研究具奇异系数的耦合反应-对流-扩散方程组的齐次Neumann外问题,确定了刻画解是否整体存在的临界Fujita曲线,并建立了Fujita型爆破定理.该临界Fujita曲线依赖于方程组的空间维数、对流项和反应项.

Critical Fujita Curves for a Coupled Reaction Convection DiffusionSystem with Singular Coefficients

Using the comparison of energy and constructing selfsimilar supersolutions, the author studied the homogeneous Neumann exterior problemof 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.