报告题目：Stability of dispersive shock in KdV Burgers equation

报告人：陈庚教授，美国堪萨斯大学

报告时间：2026年7月13日（周一）9:00-12:00

报告地点：20-200

报告摘要：We study the viscous-dispersive shock profile with infinite oscillations of the Korteweg–de Vries–Burgers (KdVB) equation. First, we establish detailed structures of the shock wave, including the rate at which the local extrema converge to the left end state towards the left far field. Then, by exploiting the structural properties of the shock, we show the L2 contraction property of the shock profile under arbitrarily large perturbations, up to a time-dependent shift. This result implies both time-asymptotic stability and uniform stability with respect to the viscosity and dispersion coefficients. This uniformity yields zero viscosity-dispersion limits.

报告人简介：陈庚，堪萨斯大学G. Bailey Price教授，复旦大学硕士，2010年博士毕业于University of Massachusetts，先后在宾夕法尼亚州立大学（The Pennsylvania State University）和佐治亚理工学院（The Georgia Institute of Technology）做博士后研究工作。陈庚教授长期从事于可压缩欧拉方程、双曲守恒律方程组和非线性波方程解的适定性研究，已在J. Lond. Math. Soc.，Comm. Math. Phys.，Arch. Ration. Mech. Anal.等国际知名期刊发表研究论文40篇，科研工作长期得到美国NSF的资助。