| 报告题目： | Approximate Solutions to the Korteweg-de Vries-Burgers Equation |
| 报 告 人： | Professor Zhaosheng Feng |
| Department of Mathematics, University of Texas | |
| 报告时间： | 6月8日(周一)下午3:45-4:45 |
| 报告地点： | 九龙湖数学系第一报告厅 |
| 相关介绍： | 报告简介：In this talk, we develop a connection between the Abel equation of the first kind, an ordinary differential equation that is cubic in the unknown function, and the Korteweg-de Vries-Burgers equation, a partial differential equation that describes the propagation of waves on liquid-filled elastic tubes. We convert the problem into an equivalent integral equation by using the Abel transformation with the initial condition. By virtue of the integral equation and the Banach Contraction Mapping Principle we derive the asymptotic expansion of bounded solutions in the Banach space, and use the asymptotic formula to construct approximate solutions to the Korteweg-de Vries-Burgers equation. 个人简介：见 http://faculty.utpa.edu/zsfeng/ |
