| Dead-core rates for the porous medium equation with a strong absorption | |
|---|---|
| 學年 | 101 |
| 學期 | 1 |
| 出版（發表）日期 | 2012-09-01 |
| 作品名稱 | Dead-core rates for the porous medium equation with a strong absorption |
| 作品名稱（其他語言） | |
| 著者 | Chen, Xinfu; Guo, Jong-Shenq; Hu, Bei |
| 單位 | 淡江大學數學學系 |
| 出版者 | Springfield: American Institute of Mathematical Sciences |
| 著錄名稱、卷期、頁數 | Discrete and Continuous Dynamical Systems - Series B 17(6), pp.1761-1774 |
| 摘要 | We study the dead-core rate for the solution of the porous medium equation with a strong absorption. It is known that solutions with certain class of initial data develop a dead-core in finite time. We prove that, unlike the cases of semilinear heat equation and fast diffusion equation, there are solutions with the self-similar dead-core rate. This result is based on the construction of a Lyapunov functional, some a priori estimates, and a delicate analysis of the associated re-scaled ordinary differential equation. |
| 關鍵字 | Dead-core rate; porous medium equation; strong absorption |
| 語言 | en_US |
| ISSN | 1531-3492 1553-524X |
| 期刊性質 | 國外 |
| 收錄於 | SCI |
| 產學合作 | |
| 通訊作者 | |
| 審稿制度 | 是 |
| 國別 | USA |
| 公開徵稿 | |
| 出版型式 | 紙本 電子版 |
| 相關連結 |
機構典藏連結 ( http://tkuir.lib.tku.edu.tw:8080/dspace/handle/987654321/83472 ) |
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