带梯度项的热点火模型的数学分析

A mathematical analysis on the fuel ignition models with a gradient term

对带梯度项的热点火模型，应用上下解方法及爆破与熄灭、死核等问题的关系，得到了与不带梯度项时的模型相似的结果．

By the method of subsolution and supersolution and the connections between the blow -up.quenching and the dead core problem,the blow-up results are derived for the fuel ignition models with agradient term,and which is similar to the models without the gradient term.