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Analysis and Applications of Nonlinear Elliptic and Parabolic Equations

Organizer(s):
Name:	Affiliation:	Country:
Yuanzhen Shao	University of Alabama	USA
Patrick Guidotti	University of California Irvine	USA
Hengrong Du	Vanderbilt University	USA

Abstract:

This special session will focus on the analysis of nonlinear elliptic and parabolic equations and their applications to mathematical physics and other applied sciences. Topics will include modeling and/or analysis of diffusion, phase transition, fluid dynamics as well as kinetic theory problems stemming from physics, biology, and image processing. We will put particular emphasis on the study of existence, uniqueness, regularity, global existence and stability, singularity formation and the motion of free interfaces in Euclidean space or on manifolds.

List of approved abstract
Name	Affiliation	Title
Juraj Foldes	Univ. of Virginia	Cubic Schrodinger equation with randomized initial conditions
Tao Huang	Wayne State University	Weak compactness property of simplified nematic liquid crystal flows in dimension two
Ning Ju	Oklahoma State University	Particle Trajectories of Large Scale Oceanic Flow
Chun Liu	Illinois Institute of Technology	Temperature effects and Ideal Gas Stokes flow
Abbas Momeni	Carleton University	Supercritical partial differential equations and the calculus of variations on convex subsets
Connor Mooney	UC Irvine	The anisotropic Bernstein problem
Guanying Peng	Worcester Polytechnic Institute	Quantitative rigidity of elliptic differential inclusions in two dimensions
Pedro Tavares Paes Lopes	Universidade de S\~ao Paulo	On the Cahn-Hilliard equation on manifolds with conical singularities
Weinan Wang	University of Arizona	Stabilizing phenomenon for incompressible fluids
Changyou Wang	Purdue University	Heat flow of s-harmonic maps
Nung Kwan Yip	Purdue University	Existence and stability of a line-generating process modeled by a three component activator-substract-excitator system
Qi S Zhang	UC Riverside	Decay and vanishing of some D-solutions of the Navier-Stokes equations