| 具非局部源多孔介质方程的爆破 |
| |
| 引用本文： | 蒋良军.具非局部源多孔介质方程的爆破[J].南京晓庄学院学报,2010,26(3):9-15. |
| |
| 作者姓名： | 蒋良军 |
| |
| 作者单位： | 南京晓庄学院数学与信息技术学院,江苏,南京,211171 |
| |
| 基金项目： | 江苏省高校自然科学基金 |
| |
| 摘 要： | 考虑带有齐次Dirichlet边界条件且具有非局部源项的多孔介质方程正解的爆破性质.在适当条件下,建立了该问题解的局部存在性,证明解在有限时刻爆破,并得到了该问题解的一致爆破模式.
|
| 关 键 词： | 多孔介质方程 非局部源 一致爆破模式. |
Blow-up for a Porous Medium Equation with Non-local Sources |
| |
| JIANG Liang-jun.Blow-up for a Porous Medium Equation with Non-local Sources[J].Journal of Nanjing Xiaozhuang College,2010,26(3):9-15. |
| |
| Authors: | JIANG Liang-jun |
| |
| Institution: | JIANG Liang-jun(Department of Mathematics,Nanjing Xiaozhuang University,Nanjing 211171,Jiangsu) |
| |
| Abstract: | This paper deals with the blow-up properties of positive solutions to a porous medium equation with non-local sources,subject to null Dirichlet boundary conditions.With appropriate hypotheses,the local existence of the solution was first established,and then the finite time blow-up proved and meanwhile the uniform blow-up profiles obtained in the interior. |
| |
| Keywords: | a porous medium equation nonlocal sources uniform blow-up profiles |
| 本文献已被 维普 万方数据 等数据库收录！ |
|
