威尼斯人

报告题目： On multi-dimensional rarefaction waves

摘要：We study the two-dimensional acoustical rarefaction waves under the irrotational assumptions. We provide a new energy estimates without loss of derivatives. We also give a detailed geometric description of the rarefaction wave fronts. As an application, we show that the Riemann problem is structurally stable in the regime of two families of rarefaction waves. This is a joint work with Prof. Pin Yu in Tsinghua Univerisity.

报告人简介：罗天文，华南师范大学教授，主要从事与流体、双曲守恒律相关的非线性偏微分方程的研究，在弱解的适定性、非唯一性，稳定性等问题做过一系列的工作，比如：可压缩欧拉方程可容许有限值弱解、不可压Navier-Stokes方程分数次耗散弱解的、Boussinesq方程弱解的适定性与不唯一性问题等。

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