| Title:
|
Behaviour of the support of the solution appearing in some nonlinear diffusion equation with absorption (English) |
| Author:
|
Tomoeda, Kenji |
| Language:
|
English |
| Journal:
|
Proceedings of Equadiff 14 |
| Volume:
|
Conference on Differential Equations and Their Applications, Bratislava, July 24-28, 2017 |
| Issue:
|
2017 |
| Year:
|
|
| Pages:
|
359-368 |
| . |
| Category:
|
math |
| . |
| Summary:
|
Numerical experiments suggest interesting properties in the several fields of fluid dynamics, plasma physics and population dynamics. Among such properties, we may observe the interesting phenomena; that is, the repeated appearance and disappearance phenomena of the region penetrated by the fluid in the flow through a porous media with absorption. The model equation in two dimensional space is written in the form of the initial-boundary value problem for a nonlinear diffusion equation with the effect of absorption. In this paper we show some numerical examples and prove such phenomena. (English) |
| Keyword:
|
Nonlinear diffusion, support dynamics, finite difference scheme |
| MSC:
|
35B99 |
| MSC:
|
35K65 |
| MSC:
|
65M06 |
| . |
| Date available:
|
2019-09-27T08:21:52Z |
| Last updated:
|
2019-09-27 |
| Stable URL:
|
http://hdl.handle.net/10338.dmlcz/703043 |
| . |
| Reference:
|
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| Reference:
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