# TBA

## Speaker:

## Institution:

## Time:

## Host:

## Location:

TBA

Tianling Jin

HKUST

Friday, November 8, 2019 - 3:00pm

RH 440R

TBA

UC Irvine & UCSD

Saturday, June 1, 2019 - 8:30am to Sunday, June 2, 2019 - 12:00pm

RH306

Christian Zillinger

USC

Friday, April 26, 2019 - 3:00pm to 3:50pm

RH 440R

We study the long-time asymptotic behavior of the linearized Euler and nonlinear Navier-Stokes equations close to Couette flow. As a main result we show that suitable forcing breaks asymptotic stability results at the level of the vorticity, but that solutions never the less exhibit convergence of the velocity field. Thus, here linear inviscid damping persists despite instability of the vorticity equations.

Dmiti Zaitsev

Trinity College Dublin

Friday, March 1, 2019 - 3:00pm to 3:50pm

RH440R

In his seminal work from 1979,

Joseph J. Kohn invented

his theory of multiplier ideal sheaves

connecting a priori estimates for the d-bar problem

with local boundary invariants

constructed in purely algebraic way.

I will explain the origin and motivation of the problem,

and how Kohn's algorithm reduces it

to a problem in local geometry

of the boundary of a domain.

I then present my recent work with Sung Yeon Kim

based on the technique of jet vanishing orders,

and show how it can be used to

control the effectivity of multipliers in Kohn's algorithm,

subsequently leading to precise a priori estimates.

Tarek Elgindi

UC San Diego

Friday, March 8, 2019 - 3:00pm to 4:00pm

RH 440R

We will discuss recent progress on finite-time singularity formation for solutions to the incompressible Euler equation and related models.

Nam Le

Indiana University Bloomington

Friday, March 15, 2019 - 3:00pm to 4:00pm

RH 440R

Abreu type equations are fully nonlinear, fourth order, geometric PDEs which can be viewed as systems of two second order PDEs, one is a Monge-Ampere equation and the other one is a linearized Monge-Ampere equation. They first arise in the constant scalar curvature problem in differential geometry and in the affine maximal surface equation in affine geometry. This talk discusses the solvability and convergence properties of second boundary value problems of singular, fourth order equations of Abreu type arising from approximation of convex functionals whose Lagrangians depend on the gradient variable, subject to a convexity constraint. These functionals arise in different scientific disciplines such as Newton's problem of minimal resistance in physics and the Rochet-Choné model of monopolist's problem in economics. This talk explains how minimizers of the 2D Rochet-Choné model can be approximated by solutions of singular Abreu equations.

Chenchen Mu

UCLA

Friday, February 22, 2019 - 3:00pm to 4:00pm

RH 440R

Mean field game theory is the study of the limit of Nash

equilibria of differential games when the number of players tends to infinity. It

was introduced by J.-M. Lasry and P.-L. Lions, and independently by P.

Caines, M. Huang and R. Malhame. A fundamental object in the theory is the

master equation, which fully characterizes the limit equilibrium. In this

talk, we will introduce Mean field game and master equations on graphs. We will

construct solutions to both equations and link them to the solution to

a Hamilton-Jacobi equation on graph.

Le Hai Khoi

Nanyang Technological University, Singapore

Friday, February 15, 2019 - 3:00pm to 3:50pm

RH440R

This is a joint Nonlinear PDEs seminar with Analysis seminar

Xiaojun Huang

Rutgers University

Friday, November 16, 2018 - 3:00pm to 3:50pm

RH440R

I will give a proof of S.Y. Cheng's conjecture that a bounded strongly pseudoconvex domain in C^n has its Bergman metric being Einstein if and only if it is holomorphically equivalent to the ball.