期刊论文详细信息
Boundary value problems | |
Blow-up properties for a degenerate parabolic system coupled via nonlinear boundary flux | |
Si Xu1  | |
[1] Department of Mathematics, Jiangxi Vocational College of Finance And Economics, Jiujiang, P.R. China | |
关键词: non-simultaneous blow-up; blow-up rate; nonlinear diffusion; nonlinear boundary flux; 5B33; 35K65; 35K55; | |
DOI : 10.1186/s13661-015-0449-7 | |
学科分类:数学(综合) | |
来源: SpringerOpen | |
【 摘 要 】
In this paper, we study the simultaneous and non-simultaneous blow-up problem for a system of two nonlinear diffusion equations in a bounded interval, coupled at the boundary in a nonlinear way. Under certain hypotheses on the initial data and parameters, we prove that non-simultaneous blow-up is possible. Moreover, we get some conditions on which simultaneous blow-up must occur, as well as the non-simultaneous blow-up conditions for every initial data. Furthermore, we get a result on the coexistence of both simultaneous and non-simultaneous blow-ups.
【 授权许可】
CC BY
【 预 览 】
Files | Size | Format | View |
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RO201904021118064ZK.pdf | 1563KB | download |