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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

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
Magdalena Czubak	University of Colorado Boulder	The fundamental solution of the Stokes equation on the hyperbolic space
Joachim Escher	Leibniz University Hannover	The Rayleigh-Taylor Condition for the Muskat Problem
Juraj Foldes	Univ. of Virginia	Singular solutions for Lin-Ni-Takagi equaiton
Patrick Guidotti	University of California, Irvine	Rank One Non-Self-Adjoint Perturbations of the Laplacian
Matthias Hieber	TU Darmstadt	Analysis of the Ericksen-Leslie and Q-Tensor Model for Liquid Crystal Flows
Tao Huang	Wayne State University	Poiseuille Flow of Full Ericksen-Leslie System Modeling Nematic Liquid Crystal Flows
Jeremy LeCrone	University of Richmond	Dynamics of quasilinear parabolic evolution equations on critical spaces
Yuanzhen Shao	University of Alabama	The Fractional Porous Medium Equation on Manifolds with Conic Singularities
Pedro Tavares Paes Lopes	Universidade de S\~ao Paulo	On the Cahn-Hilliard equation on manifolds with conical singularities
Changyou Wang	Purdue University	REGULARITY OF WEAK SOLUTION OF VARIATIONAL PROBLEMS MODELING THE COSSERAT MICROPOLAR ELASTICITY
Xiang Xu	Old Dominion University	Global wellposedness of a gradient flow arising from a triblock copolymer system
Qi S Zhang	UC Riverside	Decay and vanishing of some D-solutions of the Navier-Stokes equations