Non-sharp travelling waves for a dual porous medium equation

Jing Li; Yifu Wang; Jingxue Yin

doi:10.3934/cpaa.2016.15.623

Non-sharp travelling waves for a dual porous medium equation

Jing Li
, Yifu Wang
, Jingxue Yin^*

^*Corresponding author for this work

School of Mathematics and Statistics

Minzu University of China
South China Normal University
Beijing Institute of Technology

Research output: Contribution to journal › Article › peer-review

5 Citations (Scopus)

Abstract

We discuss non-sharp travelling waves of a dual porous medium equation with monostable source and bistable source respectively. We show the existence of non-sharp travelling waves and find that though the equation is degenerate, the travelling waves are classical ones. Furthermore, for the monostable source, we show that the non-sharp travelling waves are infinite, while for the bistable source, the non-sharp travelling waves are semi-finite, which is in contrast with the case of the heat equation.

Original language	English
Pages (from-to)	623-636
Number of pages	14
Journal	Communications on Pure and Applied Analysis
Volume	15
Issue number	2
DOIs	https://doi.org/10.3934/cpaa.2016.15.623
Publication status	Published - 1 Mar 2016

Keywords

Dual porous medium equation
Travelling wave

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10.3934/cpaa.2016.15.623

Cite this

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N2 - We discuss non-sharp travelling waves of a dual porous medium equation with monostable source and bistable source respectively. We show the existence of non-sharp travelling waves and find that though the equation is degenerate, the travelling waves are classical ones. Furthermore, for the monostable source, we show that the non-sharp travelling waves are infinite, while for the bistable source, the non-sharp travelling waves are semi-finite, which is in contrast with the case of the heat equation.

AB - We discuss non-sharp travelling waves of a dual porous medium equation with monostable source and bistable source respectively. We show the existence of non-sharp travelling waves and find that though the equation is degenerate, the travelling waves are classical ones. Furthermore, for the monostable source, we show that the non-sharp travelling waves are infinite, while for the bistable source, the non-sharp travelling waves are semi-finite, which is in contrast with the case of the heat equation.

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KW - Travelling wave

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Non-sharp travelling waves for a dual porous medium equation

Abstract

Keywords

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