【摘要】 考虑带齐次Dirichlet边界条件,具非局部源项的半线性抛物型方程组正解的爆破性质,给出了该问题的解在有限时间内爆破的一个充分条件,以及解的两个分量同时爆破的必要条件,并建立了解在区域内部一致爆破的模式.更多还原

【Abstract】 In this paper,the blow-up properties of positive solutions to semilinear parabolic systems with nonlocal sources,satisfying homogeneous Dirichlet boundary conditions are investigated.The sufficient conditions on the blow-up in a finite time of solutions and a necessary condition for the two components of the solution to blow-up simultaneously are firstly obtained,and then the uniform blow-up profile in the interior is established.更多还原