题目：Disc-disc structure in a two species interacting system on a flat torus

报告人：任晓峰教授（美国乔治华盛顿大学）

时间：2021年4月9日上午10:00-12:00
地点：Zoom会议 会议号：998 6256 1802 密码：319957
Abstract: A two species interacting system, motivated by the triblock copolymers theory, is studied on a flat torus, the quotient space of the complex plane by a lattice. The free energy of the system, which contains both short range and long range interaction, admits disc-disc like stationary points. The relative displacement of the disc centers in a stationary point is related to Green's function of the Laplace operator on the flat torus. When restricted to disc-disc configurations with relative displacements equal to half periods, the free energy is minimized and the optimal lattice is determined by a single parameter. As this parameter varies, the optimal lattice may be rectangular, square, rhombic, or hexagonal. This is in sharp contrast to single species systems where optimal lattices are always hexagonal.
简介：任晓峰，美国乔治华盛顿大学数学系终身教授。博士毕业于明尼苏达大学，师从倪维明教授。博士后合作导师为Peter W. Bates。主要从事偏微分方程、变分法、奇异摄动以及pattern formation problems等方面的研究工作，成果发表在Commun. Math. Phys., Arch. Ration. Mech. Anal., SIAM J. Math. Anal., Calc. Var., J. Nonlinear Sci.等国际顶尖学术期刊上。