当前位置: 首页 > 学术报告
On Phase-Separation Model: Asymptotics and Qualitative Properties
赵纯奕讲师(华东师范大学)
2018-01-01 12:13  华东师范大学

数学系-偏微分方程中心联合讨论班
题目:On Phase-Separation Model: Asymptotic and Qualitative Properties
报告人:赵纯奕 讲师(华东师大数学系)
时间:2011年11月22日(周二)下午13:00-15:00
地点:闵行校区行政楼12楼偏微分方程中心1202报告厅
摘要:We study bound state solutions of a class of two-component nonlinear elliptic systems with a large parameter tending to infinity. The large parameter giving strong inter-component repulsion induces phase separation and forms segregated nodal domains divided by an interface. To see the pro le of bound state solutions near the interface, we prove the uniform Lipschitz continuity of bound state solutions when the spatial dimension N = 1. Furthermore, we show the blow-up nonlinear elliptic system having unbounded solutions with symmetry and monotonicity.