中科院数学与系统科学研究院
数学研究所
学术报告
偏微分方程研讨班
报告人：Thomas Alazard (Ecole Normale Supérieure Paris-Saclay)
题 目： Paralinearization of free boundary problems in fluid dynamics
时 间：2024.03.29（星期五）16:00-17:00
地 点：Meeting ID: 924 888 5804 Passcode: AMSS2022
摘 要：A classical topic in the mathematical theory of hydrodynamics is to study the evolution of the free surface separating air from an incompressible perfect fluid. We will examine this problem for two important sets of equations: the water wave equations and the Hele-Shaw equations, including the Muskat problem. These equations are different in nature, dispersive or parabolic, but we will see that they can be studied using related tools. In particular, I will discuss a paradifferential approach to these problems.
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