Non-simultaneous blow-up for heat equations with positive-negative sources and coupled boundary flux

作者：Zheng Sining^*; Qiao Lan

来源：Communications on Pure and Applied Analysis, 2007, 6(4): 1113-1129.

• non-simultaneous blow-up
• heat equations
• positive source
• negative source
• nonlinear boundary flux

This paper deals with non-simultaneous blow-up for heat equations with positive-negative sources coupled via nonlinear boundary flux. At first, we establish the necessary-sufficient conditions for non-simultaneous blow-up of solutions under suitable initial data. Furthermore, the sufficient conditions are determined under which any blow-up of solutions to the model would be non-simultaneous. Comparing with those for a similar system possessing negative- negative sources obtained in a previous paper [ ], we show clearly the contribution of the positive source in the present model to the non-simultaneous blowing up behavior of solutions.

• 出版日期2007-12
• 单位大连理工大学