具有多重耦合的多维牛顿渗流方程组的临界曲线

Critical Curves for Multidimensional Nonlinear Diffusion Equations Coupled by Nonlinear Boundary Sources

讨论RN中单位球外区域上多重耦合的牛顿渗流方程组。主要讨论这个问题解的长时间行为,尤其是可以描述方程解的长时间行为的临界曲线。主要结论是,在一定条件下,所考虑问题的整体存在临界曲线与Fujita曲线是重合的。

This paper deals with one prototype of nonlinear diffusion equations coupled by the nonlinear boundary sources on the exterior domain of the unit ball in R^N. We are interested in the critical curve which can describe the large time behavior of the solution. It is shown that, with special conditions, the critical global existence curve coincides with the critical Fujita curve for this system.