Behaviour of the support of the solution appearing in some nonlinear diffusion equation with absorption

Tomoeda, Kenji

  • Proceedings of Equadiff 14, Publisher: Slovak University of Technology in Bratislava, SPEKTRUM STU Publishing(Bratislava), page 359-368

Abstract

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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.

How to cite

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Tomoeda, Kenji. "Behaviour of the support of the solution appearing in some nonlinear diffusion equation with absorption." Proceedings of Equadiff 14. Bratislava: Slovak University of Technology in Bratislava, SPEKTRUM STU Publishing, 2017. 359-368. <http://eudml.org/doc/294912>.

@inProceedings{Tomoeda2017,
abstract = {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.},
author = {Tomoeda, Kenji},
booktitle = {Proceedings of Equadiff 14},
keywords = {Nonlinear diffusion, support dynamics, finite difference scheme},
location = {Bratislava},
pages = {359-368},
publisher = {Slovak University of Technology in Bratislava, SPEKTRUM STU Publishing},
title = {Behaviour of the support of the solution appearing in some nonlinear diffusion equation with absorption},
url = {http://eudml.org/doc/294912},
year = {2017},
}

TY - CLSWK
AU - Tomoeda, Kenji
TI - Behaviour of the support of the solution appearing in some nonlinear diffusion equation with absorption
T2 - Proceedings of Equadiff 14
PY - 2017
CY - Bratislava
PB - Slovak University of Technology in Bratislava, SPEKTRUM STU Publishing
SP - 359
EP - 368
AB - 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.
KW - Nonlinear diffusion, support dynamics, finite difference scheme
UR - http://eudml.org/doc/294912
ER -

References

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  10. Tomoeda, K., Numerically repeated support splitting and merging phenomena in a porous media equation with strong absorption, , Journal Math-for-Industry of Kyushu, 3 (2012), pp. 61–68. MR2888003
  11. Tomoeda, K., Appearance of repeated support splitting and merging phenomena in a porous media equation with absorption, , Application of Mathematics in Technical and Natural Sciences (AMiTaNS’15), AIP Conference Proceedings, 1684 (2015), pp. 080013-1–080013-9. MR2888003
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