Propagation and blocking in periodically hostile environments

淡江大學機構典藏 > 理學院 > 數學學系暨研究所 > 期刊論文 > Item 987654321/76897

請使用永久網址來引用或連結此文件: https://tkuir.lib.tku.edu.tw/dspace/handle/987654321/76897

題名:	Propagation and blocking in periodically hostile environments
作者:	Guo, Jong-shenq;Hamel, Francois
貢獻者:	淡江大學數學學系
日期:	2012-06
上傳時間:	2012-05-22 17:06:33 (UTC+8)
出版者:	Heidelberg: Springer
摘要:	We study the persistence and propagation (or blocking) phenomena for a species in periodically hostile environments. The problem is described by a reaction-diffusion equation with zero Dirichlet boundary condition. We first derive the existence of a minimal nonnegative nontrivial stationary solution and study the large-time behavior of the solution of the initial boundary value problem. To the main goal, we then study a sequence of approximated problems in the whole space with reaction terms which are with very negative growth rates outside the domain under investigation. Finally, for a given unit vector, by using the information of the minimal speeds of approximated problems, we provide a simple geometric condition for the blocking of propagation and we derive the asymptotic behavior of the approximated pulsating travelling fronts. Moreover, for the case of constant diffusion matrix, we provide two conditions for which the limit of approximated minimal speeds is positive.
關聯:	Archive for Rational Mechanics and Analysis 204(3), pp.945-975
DOI:	10.1007/s00205-012-0494-7
顯示於類別:	[數學學系暨研究所] 期刊論文

文件中的檔案:

檔案	大小	格式	瀏覽次數
1206arma.pdf	509Kb	Adobe PDF	271	檢視/開啟
index.html	0Kb	HTML	80	檢視/開啟
Propagation and blocking in periodically hostile environments.pdf	386Kb	Adobe PDF	1	檢視/開啟

在機構典藏中所有的資料項目都受到原著作權保護.

TAIR相關文章