报告题目：Riemann Problem for KdV Soliton Condensates 

报告时间：4月30日 10:00-11:30

报告人：Xiaodong Zhu, 北京师范大学 

报告地点：二教2404

摘要：

A soliton gas is a class of random or deterministic initial data that effectively captures the strongly nonlinear component in the evolution of integrable nonlinear equations. This concept was first introduced by Vladimir E. Zakharov in 1971. On the other hand, the Riemann problem typically refers to initial data with discontinuities, and in dispersive systems it gives rise to shock-like structures, commonly known as dispersive shock waves. In this talk, we discuss the relationship between condensate soliton gases and step-like finite-gap solutions. We further investigate the Riemann problem for condensate soliton gases. Similar to the classical Riemann problem, the solution exhibits a rich structure like rarefaction waves and dispersive shock waves.