|
Hokkaido University Collection of Scholarly and Academic Papers >
Graduate School of Science / Faculty of Science >
Hokkaido University Preprint Series in Mathematics >
ASYMPTOTIC BEHAVIOR OF SOLUTIONS TO THE GENERALIZED KdV-BURGERS EQUATION
| Title: | ASYMPTOTIC BEHAVIOR OF SOLUTIONS TO THE GENERALIZED KdV-BURGERS EQUATION |
| Authors: | Fukuda, Ikki1 Browse this author |
| Authors(alt): | 福田, 一貴1 |
| Keywords: | Korteweg-de Vries-Burgers equation | | asymptotic behavior | | second asymptotic profile |
| Issue Date: | 13-Oct-2017 |
| Publisher: | Department of Mathematics, Hokkaido University |
| Journal Title: | Hokkaido University Preprint Series in Mathematics |
| Volume: | 1105 |
| Start Page: | 1 |
| End Page: | 20 |
| Abstract: | We study the asymptotic behavior of global solutions to the initial value problem for the generalized KdV-Burgers equation. One can expect that the solution to this equation converges to a self-similar solution to the Burgers equation, due to earlier works related to this problem. Actually, we obtain the optimal asymptotic rate similar to those results and the second asymptotic profile for the generalized KdV-Burgers equation. |
| Type: | bulletin (article) |
| URI: | http://hdl.handle.net/2115/67302 |
| Appears in Collections: | 理学院・理学研究院 (Graduate School of Science / Faculty of Science) > Hokkaido University Preprint Series in Mathematics
|
Submitter: 数学紀要登録作業用
|
