Asymptotic behavior of global solutions to one-dimension quasilinear wave equations

活动时间:2022-11-24 15:00

活动地点:腾讯会议 260-182-499

主讲人:李梦妮

主讲人中文简介:

李梦妮,博士毕业于清华大学数学专业,现为东南大学数学金沙讲师、硕士生导师。主要从事几何分析与偏微分方程等方面的理论研究,在 

Journal of Differential Equations, Nonlinear Analysis, Science China-Mathematics 等国际期刊上发表多篇代表性研究成果。现主持1项国家自然科学基金青年项目与1项江苏省自然科学基金青年项目。

活动内容摘要:

The asymptotic behavior of solutions is a significant subject in the theory of wave equations. In this talk, we are concerned with the asymptotic behavior of the unique global solution to the Cauchy problem for one-dimension quasilinear wave equations with null conditions. By applying the small-data-global-existence result and exploiting the strength of weights, we not only provide sharper convergence from the quasilinear case to the linear case but also study the rigidity aspect of the scattering problem for quasilinear waves.

主持人:查冬兵