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罗辰昀 博士：Compressible and Incompressible Free-Boundary Euler Equations: Existence and Convergence Resu

本站小编 Free考研/2020-05-19


Academy of Mathematics and Systems Science, CAS
Colloquia & Seminars
Speaker: 罗辰昀 博士，Vanderbilt University
Inviter:
Title:
 Compressible and Incompressible Free-Boundary Euler Equations: Existence and Convergence Results
Time & Venue:
 2019.12.25 10:30-11:30 C410
Abstract:
 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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