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SS9: Nonlinear Evolution PDEs, Interfaces and Applications

Organizer(s):
Name:	Affiliation:	Country:
Alain Miranville	University of Poitiers	France
Gunduz Caginalp	University of Pittsburgh	USA
Maurizio Grasselli	Politecnico di Milano	Italy

Abstract:
Many issues in applied science can be formulated as interface problems which can be regarded as limiting cases of evolution equations exhibiting transition layers. The study of phase field or diffusive interface problems, Allen-Cahn and Cahn-Hilliard equations have been an active area for the past few decades. This has also been an additional motivation for studying general nonlinear evolution equations. This session will focus on the mathematical properties (well-posedness, regularity, stability, asymptotic behavior of solutions, ...) and applications of these equations.

List of approved abstract
Name	Affiliation	Title
Helmut Abels	University of Regensburg	Sharp Interface Limit for the Allen-Cahn Equation with a Contact Angle
Galina I Bizhanova	Institute of Mathematics & Mathematical Modeling	Convergence in the H\\{o}lder space of the solution of the two phase Stefan problem for the parabolic equations with two small parameters
Cecilia Cavaterra	Universita` degli Studi di Milano	A nonlinear model for marble sulphation including surface rugosity: theoretical and numerical results.
Laurence Cherfils	University of La Rochelle	A convergent convex splitting scheme for a nonlocal Cahn-Hilliard-Oono type equation with a transport term
Julien Dambrine	University of Poitiers	Estimation of the mobility in front propagation
Filippo Dell Oro	Politecnico di Milano	A quantitative Riemann-Lebesgue lemma with application to equations with memory
Joachim Escher	Leibniz University Hannover	Stability Properties of Non-Radial Steady Ferro Fluidic Patterns
Eduard Feireisl	Czech Academy of Sciences	A diffuse interface model of a two-phase flow with thermal fluctuations
SERGIO FRIGERI	Universita` Cattolica del Sacro Cuore, Brescia	Some regularity results for nonlocal Cahn-Hilliard/Navier-Stokes systems
Lorenzo Giacomelli	Sapienza University of Rome	A nonlinear fourth-order approximation of forward-backward parabolic equations
Andrea Giorgini	Politecnico di Milano	The three-dimensional Cahn-Hilliard-Brinkman system with unmatched viscosities
Olivier Goubet	Universite de Picardie Jules Verne	Determining Nodes For Damped Forced Periodic Korteweg-de Vries Equation
G"unther Gr"un	University of Erlangen-Nuremberg	On the field-induced transport of magnetic nanoparticles in incompressible flow
Risei Kano	Kochi University	The existence of solutions for the non-linear hardening problem
Christina Lienstromberg	Leibniz University Hannover	On qualitative properties of solutions to microelectromechanical systems with general permittivity
Ryota Nakayashiki	Chiba University	A class of quasilinear type Kobayashi--Warren--Carter systems including dynamic boundary conditions
Amy Novick-Cohen	Technion	The deep quench obstacle problem
Shuiran PENG	University of Poitiers	Higher-Order Anisotropic Phase Separation Models: Theoretical Analysis and Numerical Simulations
Madalina Petcu	University of Poitiers	Energy stable numerical scheme for the viscous Cahn-Hilliard-Navier-Stokes equations with moving contact lines
Morgan Pierre	Universite de Poitiers	Convergence of exponential attractors for a finite element approximation of the Allen-Cahn equation
Giulio Schimperna	Department of Mathematics, University of Pavia	On a multi-component model for tumor growth
Sergey Zelik	University of Surrey	Damped wave equations with quintic nonlinearities in bounded domains: asymptotic regularity and attractors