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

二、报告人：陈庚 教授

三、时  间：2026年7月10日（周五） 16:00-17:00

四、报告地点：A4-305

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，复旦大学的硕士，2010年博士毕业于马萨诸塞大学（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。陈教授长期从事可压缩欧拉方程，双曲守恒率方程组和非线性波方程解的适定性研究，已在Arch. Ration. Mech. Anal.、Comm. Math. Phys.、J. Math. Pures Appl.、J. Lond. Math. Soc.、Ann. Inst. H. Poincaré Anal. Non Linéaire、Comm. PDE、SIAM J. Math. Anal.、Indiana Univ. Math. J.等国际权威学术期刊上发表研究论文40多篇，长期得到美国NSF的资助。

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