摘要
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.
| 源语言 | 英语 |
|---|---|
| 页（从-至） | 623-636 |
| 页数 | 14 |
| 期刊 | Communications on Pure and Applied Analysis |
| 卷 | 15 |
| 期 | 2 |
| DOI | |
| 出版状态 | 已出版 - 1 3月 2016 |
指纹
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Li, J., Wang, Y., & Yin, J. (2016). Non-sharp travelling waves for a dual porous medium equation. Communications on Pure and Applied Analysis, 15(2), 623-636. https://doi.org/10.3934/cpaa.2016.15.623