数学系-偏微分方程中心联合讨论班
题 目: Exponential Stability of Large-Amplitude Traveling Fronts for Quasi-linear Relaxation Systems with Diffusion（II）
报告人: 王丽娜 博士（华师大PDE中心博士后）
时 间: 2011年11月15日（周二）下午13: 00-15:00
地 点: 闵行校区行政楼12楼偏微分方程中心1202报告厅
摘 要：This talk is concerned with the stability of traveling front solutions for 2×2 quasi-linear relaxation systems with small diffusion rate. By 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.