报告题目:Core shells and double bubbles in a weighted nonlocal isoperimetric problem

报告人：王崇（Washington and Lee University）

时间：2024年4月11日（星期四）上午10：00 - 11：00

地点：公共教学二楼2218

摘要:

We consider a sharp-interface model of ABC triblock copolymers, for which the surface tension σij across the interface separating phase i from phase j may depend on the components. We study global minimizers of the associated ternary local isoperimetric problem in R2 and show how the geometry of minimizers changes with the surface tensions σij , varying from symmetric double-bubbles for equal surface tensions, through asymmetric double bubbles, to core shells as the values of σij become more disparate. Then we consider the effect of nonlocal interactions in a droplet scaling regime, in which vanishingly small particles of two phases are distributed in a sea of the third phase. We are particularly interested in a degenerate case of σij in which minimizers exhibit core shell geometry, as this phase configuration is expected on physical grounds in nonlocal ternary systems.

个人简介:

Chong Wang received her PhD degree at the George Washington University in Washington, D.C., USA, in 2018. Between 2018 and 2021, she did her postdoctoral research at McMaster University in Hamilton, Ontario, Canada, and at Columbia University in New York City, New York, USA. Since 2021, Chong has been a tenure-track Assistant Professor at Washington and Lee University in Lexington, Virginia, USA. Chong's research interests include mathematical modeling, calculus of variations, partial differential equations, scientific computing, numerical analysis, and high-performance computing.