會議論文
| 學年 | 101 |
|---|---|
| 學期 | 1 |
| 發表日期 | 2012-10-13 |
| 作品名稱 | The cauchy problem for a complex-valued heat equation with a quadratic nonlinearity |
| 作品名稱（其他語言） | |
| 著者 | Guo, Jong-Shenq |
| 作品所屬單位 | 淡江大學數學學系 |
| 出版者 | |
| 會議名稱 | 第一屆南區微分方程研討會=First Annual Southern Taiwan Workshop on Differential Equations |
| 會議地點 | Tainan, Taiwan |
| 摘要 | We study 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 datum 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 simultaneous blow-up solutions with nontrivial imaginary part. Finally, we consider the case of asymptotically constant initial data and show that, depending on the limit, the solution blows up non-simultaneously at space infinity or exists globally in time and converges to the trivial steady state. This talk is based on a joint work with Ninomiya, Shimojo and Yanagida. |
| 關鍵字 | |
| 語言 | en |
| 收錄於 | |
| 會議性質 | 國內 |
| 校內研討會地點 | |
| 研討會時間 | 20121013~20121013 |
| 通訊作者 | |
| 國別 | TWN |
| 公開徵稿 | |
| 出版型式 | |
| 出處 | |
| 相關連結 |
機構典藏連結 ( http://tkuir.lib.tku.edu.tw:8080/dspace/handle/987654321/99674 ) |