数学系--偏微分方程中心联合讨论班
Department of Mathematics- Center for PDE
Joint Seminar

报告题目: Exponential Stability of Large-Amplitude Traveling Fronts for Quasi-linear Relaxation Systems with Diffusion
演讲人：王丽娜 博士（首都师范大学）
时间：2011年3月22日（星期二）下午3:40—4:40
地点：华东师大闵行校区数学系102报告厅

摘要：
In many physical problems such as in traffic flow and shallow water flow, both relaxation and diffusion are involved. In this talk, we are interested in the stability of traveling front solutions for 2 times 2 quasi-linear relaxation systems with small diffusion rate. By applying geometric singular perturbation method, special Evans function estimates, detailed spectral analysis and C_0 semigroup theories, we prove that all the non-degenerate waves for semi-linear relaxation systems are locally exponentially stable in some exponentially weighted spaces. We also obtain the linear exponential stability of the non-degenerate waves for quasi-linear relaxation systems, where the wave strengths can be large.