Rayleigh-Taylor instability and beyond

发布时间:2024-05-06 点击次数:

标题:Rayleigh-Taylor instability and beyond

报告时间:2024年5月9日(星期四) 14:00-15:00

报告地点:人民大街校区数学与统计学院619室

主讲人:潘荣华

主办单位:数学与统计学院

报告内容简介:

  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.

主讲人简介:

  潘荣华,美国佐治亚理工学院数学教授,国际著名偏微分方程专家。