报告题目：Rayleigh-Taylor instability and beyond

报告时间：2024年5月6日 上午10：00

报告地点：南湖校区老图书馆四楼会议室

主办单位：数学与统计学院

报告人：潘荣华

报告人简介：美国佐治亚理工学院教授、博士生导师。先后于中国科技大学获得学士学位和硕士学位，并于中国科学院数学研究所获得理学博士学位；此后，在意大利高等研究院从事了两年的博士后研究工作，2000年到美国密西根大学工作；2003年至今，在佐治亚理工学院任职，并于2011年成为终身教授。潘荣华教授主要在流体力学方程组方面做出了一系列出色的研究结果，是该方向国际著名专家。

摘要：It is known in physics that steady state of fluids under the influence of uniform gravity is stable if and only if the convection is absent. In the context of incompressible fluids, convection happens when heavier fluids is on top of lighter fluids, known as Rayleigh-Taylor instability. However, in real world, heat transfer plays an important role in convection of fluids, such as the weather changes, and or cooking a meal. In this context, the compressibility of the fluids becomes important. Indeed, using the more realistic model of compressible flow with heat transfer, the behavior of solutions is much closer to the real world and more complicated. We will discuss these topics in this lecture, including some on-going research projects.