期刊論文
| 學年 | 101 |
|---|---|
| 學期 | 2 |
| 出版（發表）日期 | 2013-05-01 |
| 作品名稱 | Convergence and blow-up of solutions for a complex-valued heat equation with a quadratic nonlinearity |
| 作品名稱（其他語言） | |
| 著者 | Guo, Jong-Shenq; Hirokazu Ninomiya; Masahiko Shimojo; Eiji Yanagida |
| 單位 | 淡江大學數學學系 |
| 出版者 | Providence: American Mathematical Society |
| 著錄名稱、卷期、頁數 | Transactions of the American Mathematical Society 365(5), pp.2447-2467 |
| 摘要 | This paper is concerned with the Cauchy problem for a system of parabolic equations which is derived from a complex-valued equation with a quadratic nonlinearity. First we show that if the convex hull of the image of initial data does not intersect the positive real axis, then the solution exists globally in time and converges to the trivial steady state. Next, on the one-dimensional space, we provide some solutions with nontrivial imaginary parts that blow up simultaneously. Finally, we consider the case of asymptotically constant initial data and show that, depending on the limit, the solution blows up nonsimultaneously at space infinity or exists globally in time and converges to the trivial steady state. |
| 關鍵字 | Complex-valued heat equation; parabolic system; convergence; blow-up |
| 語言 | en_US |
| ISSN | 0002-9947 |
| 期刊性質 | 國外 |
| 收錄於 | SCI |
| 產學合作 | |
| 通訊作者 | Masahiko Shimojo |
| 審稿制度 | 是 |
| 國別 | USA |
| 公開徵稿 | |
| 出版型式 | ,紙本 |
| 相關連結 |
機構典藏連結 ( http://tkuir.lib.tku.edu.tw:8080/dspace/handle/987654321/97799 ) |