PDE Geometric Analysis seminar

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The seminar will be held in room 901 of Van Vleck Hall on Mondays from 3:30pm - 4:30pm, unless indicated otherwise.

Previous PDE/GA seminars

Tentative schedule for Spring 2018

PDE GA Seminar Schedule Fall 2017

date speaker title host(s)
September 11 Mihaela Ifrim (UW) TBD Kim & Tran
September 18 Longjie Zhang (University of Tokyo) TBD Angenent
September 22,

VV B239 4:00pm

Jaeyoung Byeon (KAIST) Colloquium: Patterns formation for elliptic systems with large interaction forces Rabinowitz
September 25 Tuoc Phan (UTK) TBD Tran
September 26,

VV B139 4:00pm

Hiroyoshi Mitake (Hiroshima University) Joint Analysis/PDE seminar Tran
September 29,

VV901 2:25pm

Dongnam Ko (CMU & SNU) a joint seminar with ACMS: TBD Shi Jin & Kim
October 2 No seminar due to a KI-Net conference
October 9 Sameer Iyer (Brown University) TBD Kim
October 16 Jingrui Cheng (UW) TBD Kim & Tran
October 23 Donghyun Lee (UW) TBD Kim & Tran
November 6 Jingchen Hu (USTC and UW) TBD Kim & Tran





Abstracts

Mihaela Ifrim

Jaeyoung Byeon

Title : Patterns formation for elliptic systems with large interaction forces

Abstract : Nonlinear elliptic systems coming from nonlinear Schroedinger systems have simple looking reaction terms whose corresponding energy can be expressed as quadratic forms in terms of density functions. The entries of the matrix for the quadratic form represent interaction forces between components for a system. If the signature of an entry is positive, the force between two components is attraction; on the other hand, if it is negative, it is repulsion. When the interaction forces between different components are large, the network structure of attraction and repulsion between components might produce several interesting patterns for solutions. As a starting point to study general patterns formation structure for systems with large number of components, I would like to illustrate a phenomenon for systems with two components, and for systems with three components introduce some recent results of several phenomena depending on the network structure of attraction and repulsion between components.