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
國別 USA
公開徵稿
出版型式 紙本 電子版
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