Please use this identifier to cite or link to this item: https://ah.nccu.edu.tw/handle/140.119/68415


Title: DEAD-CORE AT TIME INFINITY FOR A HEAT EQUATION WITH STRONG ABSORPTION
Authors: 符聖珍
Fu,Sheng-Chen
Guo,Jong-Shenq
Wu,Chin-Chin
Contributors: 應數系
Keywords: Heat equation;Strong absorption;Dead-core;Dead-core rate
Date: 2009.08
Issue Date: 2014-08-07 11:34:52 (UTC+8)
Abstract: We study an initial boundary value problem for a heat equation with strong absorption. We first prove that the solution of this problem stays positive for any finite time and converges to the unique steady state for a large class of initial data. This gives an example in which the dead-core is developed in infinite time. Then some estimates of the dead-core rate(s) are derived. Finally, we provide the uniformly exponential rate of convergence of the solution to the unique steady state.
Relation: Taiwanese J. Math.,13(4),1213-1227
Data Type: article
Appears in Collections:[應用數學系] 期刊論文

Files in This Item:

File Description SizeFormat
460-496-1-PB.pdf97KbAdobe PDF489View/Open


All items in 學術集成 are protected by copyright, with all rights reserved.


社群 sharing