PDE seminar in February 2020

Time: 10th February (Monday) 10:00 - 11:00
Speaker: Dr. Dongnam Ko (University of Deusto)
Place: #701, Natural Science Building, Hanyang University

Title : Dynamics and control for multi-agent networked systems

Abstract:
Starting form the analysis on parabolic equations, we study control properties of the consensus model. The existing techniques for PDE control problems allow us to derive explicit estimates on the controllability and control cost. Our approach shows that the chain or circular network systems have the same properties as the 1D heat equation while we may extend it to the multi-dimensional or fractional type heat equations.

PDE seminar in August 2019

Time: 7th August (Wednesday) 10:00 - 11:00
Speaker: Prof. Tongseok Lim(Institute of Mathematical Sciences, ShanghaiTech University)
Place: #701, Natural Science Building, Hanyang University

Title : On the optimal formation of interacting particles -- maximal variance problem and its generalization

Abstract:
We study the geometry of minimizers of an interaction energy, which is a Lyapunov functional for the aggregation equation. When the interaction potential is mildly repulsive, it is known to be hard to characterize those minimizers due to the fact that they break the rotational symmetry, suggesting that the problem is unlikely to yield to the usual convexity or symmetrization techniques from the calculus of variations. We prove that, if the repulsion is mild and the attraction is sufficiently strong, the minimizer is unique and exhibits a remarkable simplex-shape rigid structure. As the first crucial step we consider the maximum variance problem of probability measures under the constraint of bounded diameter, whose answer in one dimension was given by Popoviciu in 1935.

HY-PDE workshop on hyperbolic and kinetic problems

In this workshop, we discuss recent progress in hyperbolic partial differential equations and kinetic equations. The aim of this workshop is to promote communications and to encourage collaborations between young researchers.

Time : May 3rd (Friday) 09:30 -- 17:30
Place : Natural Sciences Bldg #702

Poster(pdf)

Timetable

Venue
Take off at Hanyang Univ. subway station (exit #2) and climb the stairway. The natural science building is located at the top of the hill.
If you bring your car, please park at 한양종합기술연구원(HIT) or 행원파크.("P" symbol in the map)