一类退化抛物型方程组解的爆破性质  

Blow-Up Properties of a Class of Degenerate Parabolic Equations

作　　者：吴春晨[1] 

机构地区：[1]福州大学至诚学院,福建福州350002

出　　处：《江南大学学报（自然科学版）》2014年第6期743-748,共6页Joural of Jiangnan University (Natural Science Edition)　

基　　金：福建省自然科学基金项目(Z0511015);福建省教育厅A类科技项目(JA12374)

摘　　要：分析了一类具有3个方程的耦合退化抛物型方程组解的爆破性质,通过构造爆破的弱下解方法,得到了方程组有限时间内爆破的充分条件。将此方法应用到非局部源的方程组上,同样得到解的爆破性质.The blow-up properties of the solutions for coupling degenerate parabolic equations are investigated in this paper. By applying methods of the constructing blow-up weak lower-solutions ,the sufficient condition for blow-up of solution in finite time is obtained. This method is applied to the equations with nonlocal source , the blow up properties of solutions are also obtained.

关 键 词：耦合退化 抛物型方程组 爆破 

分 类 号：O175.2[理学—数学]