2017年9月29日尹思璐讲座(一)预告
题目:1、Long-time existence of nonlinear inhomogeneous compressible
elastic waves
时间:9月29日 10:00-11:00
地点:16-416
主讲人:尹思露
摘要:In this talk, we consider the nonlinear inhomogeneous compressible elastic waves in three spatial dimensions when the density is a small disturbance around a constant state. In homogeneous case, the almost global existence was established by Klainerman-Sideris, and global existence was built by Agemi and Sideris independently. Here we establish the corresponding almost global and global existence theory in the inhomogeneous case.
2017年9月30日尹思璐讲座(二)预告
题目:2、Global existence of inhomogeneous incompressible isotropic elastodynamics in three dimensions
时间:9月30日 10:00-11:00
地点:16-416
主讲人:尹思露
摘要:This talk concerns the Cauchy problem of the incompressible isotropic elas-
todynamics in three dimensions. The homogeneous case was studied by Sideris
and Thomases in Euler coordinates. Here we generalize their result to
the inhomogeneous case and prove the global existence of classical solution in
Lagrangian coordinates under the assumption that the density is a small per-
turbation around a constant state. The generalized energy method is utilized to
derive the energy estimates in certain weighted Sobolev spaces.
人物简介:
尹思露,女,于复旦大学数学科学学院取得博士学位,2014-2015曾于美国匹兹堡大学访学一年,现在上海大学工作。从事非线性双曲型偏微分方程以及流体力学的科学研究工作。在《Journal of Differential Equations》等权威期刊上发表多篇学术论文。