中科院数学与系统科学研究院
数学研究所
偏微分方程研讨班
报告人：罗辰昀 博士 (Vanderbilt University)
题 目：Compressible and Incompressible Free-Boundary Euler Equations: Existence and Convergence Results
时 间：2019.12.25（星期三）, 10:30-11:30
地 点：晨兴中心410室
摘 要：Introduced in 1757 by Leonhard Euler, Euler Equations are still one of the most important and widely studied equations in mathematics and physics. Nevertheless, despite being more than 250 years old and the great amount of work dedicated to them, the Euler Equations are far from being well-understood. In fact, many basic questions are still unanswered. In this talk, we will discuss a recent result which proves that the motion of a "slightly compressible" free-boundary liquid is near that of an incompressible one when the surface tension is taken into account. The strategy is to derive a uniform energy estimate of the free-boundary compressible Euler Equations as the "compressibility" of the liquid tends to zero.
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