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Local well-posedness for the free boundary incompressible elastodynamics

时间:2021-12-23 9:30-10:30

地点:腾讯会议 934-148-815

主讲人:顾旭旻

主讲人中文简介:

顾旭旻,现为上海财经大学数学学院副教授。2014年于复旦大学数学科学学院获应用数学博士学位。2014年至2015年在香港中文大学数学研究所进行博士后研究。主要研究方向为应用偏微分方程。在  JMPA, JDE等杂志上发表多篇文章。主持国家自然科学基金青年基金一项,参与国家自然科学重点基金一项。

内容摘要:

As for the incompressible viscoelasticity, a coupling system of the Navier-Stokes equations of the fluid motion with a transport one for the deformation tensor, the well-posedness theory of its free boundary problem has been established under a natural force balance law on the free boundary. In this talk, we discuss the corresponding elastic case on a short time interval via the vanishing viscosity method. An interesting fact is that our solutions are in standard Sobolev spaces, but not the co-normal ones, when the vanishing viscosity limit is taken.

主持人:查冬兵