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 |

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Category: | math |

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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 |

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Date available: | 2019-09-27T08:21:52Z |

Last updated: | 2019-09-27 |

Stable URL: | http://hdl.handle.net/10338.dmlcz/703043 |

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