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 | |
| Publication status | Published - 1 Mar 2016 |
Keywords
- Dual porous medium equation
- Travelling wave
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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