期刊信息
- 刊名： 河北师范大学学报（自然科学版）Journal of Hebei Normal University (Natural Science)
- 主办： 河北师范大学
- ISSN： 1000-5854
- CN： 13-1061/N
- 中国科技核心期刊
- 中国期刊方阵入选期刊
- 中国高校优秀科技期刊
- 华北优秀期刊
- 河北省优秀科技期刊
具有Robin边界条件的退化方程的爆破现象
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1. 广东财经大学 华商学院 数据科学学院, 广东 广州 511300;
2. 广东农工商职业技术学院 科研处, 广东 广州 510507 -
DOI：10.13763/j.cnki.jhebnu.nse.202101008
Blow-up Phenomenon of Degenerate Equations with Robin Boundary Condition
摘要/Abstract
摘要：
考虑了经常被用于模拟湍流过滤现象的退化抛物方程.运用微分不等式，对初始条件进行一些必要限制之后，得到了Robin边界条件下解的爆破时间的下界以及确保解全局存在的条件.最后，证明了齐次Neumann边界条件下解一定在某个有限时刻发生爆破，并得到了爆破时间的上界.
Abstract：
The degenerate parabolic equation,which is often used to simulate turbulent filtration,is considered. By using differential inequality, the lower bound of the blow-up time of the solution under Robin boundary condition and the conditions to ensure the global existence of the solution are obtained.Finally, we prove that the solution must blow-up at a finite time under homogeneous Neumann boundary condition, and obtain the upper bound of blow-up time.
关键词
Key words：
degenerate parabolic equation
;
blow-up
;
upper bound
;
differential inequality
参考文献 14
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