一类交叉耦合非线性反应扩散方程组的爆破分析

Blow-up Analysis for Reaction-diffusion Model with Cross Coupling of Nonlinearities

主要研究了具有混合型的多重非线性项的抛物方程组的初边值问题.方程组中的非线性项是幂函数和指数混合型的.这些非线性项组合出了源-流交叉耦合,通过比较原理得到了方程组的上下解,并得到了解有限时刻爆破的临界指标.

This paper deals with initial-boundary problems for parabolic systems with multiple nonlinear terms of mixed types i. e, combinations of nonlinearities of power and exponent types. The growth of the solutions come from both the sources and the boundary flux. By using the comparison principle, the blow-up criteria are established under different couplings with nonlinear terms of power or exponent types.