A note on blow-up analysis for a system of semilinear parabolic equations

作者：An Xiaowei; Song Xianfa^*

来源：Nonlinear Analysis: Real World Applications , 2011, 12(1): 611-614.

DOI：10.1016/j.nonrwa.2010.07.004

• System of semilinear parabolic equations
• Maximum principle
• Blow-up rate

We consider the behavior of the positive solutions to a semilinear parabolic system u(t) = Delta u + e(p nu)u(alpha) and nu(t) = Delta nu + u(q)e(beta nu) with null Dirichlet boundary conditions. We prove that the solutions will blow up in finite time and establish the exact blow-up rates under some conditions.

• 出版日期2011-2
• 单位天津大学; 中国人民武装警察部队学院