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Free Boundaries in Critical-State Problems
Organizer: Jose Francisco Rodrigues
14:00
Piotr Mucha
Facets and discontinuous elliptic operator
14:30
Lisa Santos
Variational and quasivariational solutions for quasilinear equations with gradient constraint
15:00
Leonid Prigozhin
Lakes and rivers in the landscape: A quasi-variational inequality approach
15:30
Graziano Crasta
Macroscopic electrodynamics of hard superconductors
Numerical Methods for Evolving Hypersurfaces
Organizer: Charlie Elliott
14:00
Chandrasheka Venkataraman
Modelling cell motility with the evolving surface finite element method
14:30
Vanessa Styles
Numerical analysis of an inverse problem for the eikonal equation
15:00
Tom Ranner
Finite element analysis of a Cahn-Hilliard equation on an evolving surface
15:30
Robert Nürnberg
Stable approximation of Stefan problems with fully anisotropic Gibbs-Thomson law
Reaction-diffusion Equations
Organizer: Henry Beresticki & Claudia Lederman
16:30
Yihong Du
Evolution and long-time behaviour of the free boundary in nonlinear Stefan
problems
17:00
Georg Weiss
Convective combustion in porous media: singular limit of high activation energy
17:30 Danielle Hilhorst
A fast precipitation and dissolution limit for a reaction-diffusion system arising in porous medium
18:00
Lionel Roques
The inside dynamics of traveling waves
Biomembranes
Organizer: Matthias Röger
16:30
Marco Veneroni
On minimizers of Helfrich energy for two-phase biomembranes
17:00
Andreas Rätz
A diffuse-interface approximation of Willmore-flow for colliding interfaces
17:30
Alexei Heintz
Incompressible Willmore flows imbedded in viscous fluid as a model for lipid membranes deformations
18:00
Björn Stinner
Application of elastic flows to cell motility
Drops, Bubbles and Application in Microfluids
Organizer: Marco Fontelos
16:30
Günther Grün
On thermodynamically consistent schemes for two-phase flow with mass density contrast and species transport
17:00
Christophe Josserand
Pressure on drops: what is the role of the surrounding gas
17:30
Andreas Münch
A multiple scales approach to evaporation induced marangoni convection
18:00
Georgy Kitavtsev
Coarsening rates for the dynamics of polymer droplets in the presence of strong slippage
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Analysis of Fluidic Interfaces
Organizer: Dieter Bothe
14:00
Helmut Abels
On sharp interface limits of diffuse interface models
14:30
Daniel Depner
Existence of weak solutions for a diffuse interface model for a two-phase flow with degenerate mobility
15:00
Joachim Escher
Analysis of fluidic interfaces
15:30
Barbara Wagner
Effective Slip for An Upper Convected Maxwell Fluid
Phase field models
Organizer: Pierluigi Colli & Jürgen Sprekels
14:00
Maurizio Grasselli
Recent results on phase-field systems with nonlocal interactions
14:30
Christiane Kraus
Phase field systems for phase separation and damage processes
15:00
Alain Miranville
A Cahn-Hilliard model with dynamic boundary conditions
15:30
Ken Shirakawa
A phase field system motivated by grain boundary motion with degeneracy
Level Set Methods
Organizer: Martin Burger
16:30
John Mackenzie
On the Computational Modelling of Eukaryotic Cell Migration and Chemotaxis
17:00
Marie-Therese Wolfram
A level set shape optimization method for an elliptic obstacle problem
17:30
Elsa Vennat
Capillary rise in demineralized dentin and more generally in a fibrous tissue
18:00
Maria Garzon
Simulation of electrostatically driven jets from non-viscous droplets using Level Sets
Multiscale Problems in Material Sciences
Organizer: Barbara Niethammer
16:30
Michael Herrmann
Three-scale analysis of nonlocal Fokker-Planck equations
17.00
Anja Schlömerkemper
On an Allen-Cahn/Cahn-Hilliard model with geometrically linear elastic energy
17:30
Stefan Neukamm
Quantitative methods in stochastic homogenization
18:00
Sven-Joachim Kimmerle
Optimal control of macroscopic models for phase transitions
Regularity of Free Boundaries
Organizer: Georg Weiss
16:30
Joachim Escher
Regularity of free boundaries
17:00
Erik Lindgren
A free boundary problem of two-phase type related to the fractional Laplacian
17:30
Stephan Luckhaus
Monotonicity formulae for free discontinuity problems
18:00
Eugen Varvaruca
Singularities of axisymmetric free surface flows with gravity
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Thermodynamics of Interfaces
Organizer: Hans Wilhelm Alt & Wolfgang Dreyer
10:30
Dieter Bothe
Continuum-Thermodynamics of chemically reacting multicomponent fluid systems
11:00
Gabriele Witterstein
The Existence of Transition Profiles for Compressible Flows
11:30
Jan Giesselmann
Derivation of entropy inequalities at interfaces via asymptotic analysis
12:00
Clemens Guhlke
Sharp limit of the viscous Cahn-Hilliard equation in the context of the 2nd law of thermodynamics
Optimization and Free Boundaries
Organizer: Michael Hintermüller
10:30
Robert Nürnberg
A semismooth Newton method for a gradient constrained minimization problem
11:00
Carlos Rautenberg
Fixed Point Methods for Parabolic Quasi-Variational Inequalities with Gradient-type Constraints
11:30
Juan-Carlos de los Reyes
An optimization based numerical approach for free boundary problems modeled by variational inequalities of the second kind
12:00
Thomas Surowiec
A bundle-free implicit programming approach for the optimal control of va-
riational inequalities
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Numerical methods for fluidic interfaces
Organizer: Arnold Reusken
14:00
Lutz Tobiska
Arbitrary Lagrangian-Eulerian finite-element method for computation of two-phase flows with soluble surfactants
14:30
Sebastian Aland
A continuum model of particle-stabilized interfaces
15:00
Michael Hinze
Simulation and control of multiphase flows governed by the Cahn-Hilliard Navier-Stokes system (CHNSS)
15:30
Eberhard Bänsch
A finite element method for particulate flow
Singular geometric evolutions of free boundaries
Organizer: Giovanni Bellettini & Yoshihiro Tonegawa
14:00
Matteo Novaga
A symmetry result for the Ornstein-Uhlenbeck operator
14:30
Luca Mugnai
Upper Bounds on coarsening rates for surface attachment limited kinetics
15:00
Maurizio Paolini
Curvature flow with nonconvex anisotropy relaxed with a well-posed Allen-Cahn system
15:30
Piotr Rybka
Motion of Closed Curves by Singular Weighted Mean Curvature
Numerical methods for multiphase flow with phase transition
Organizer: Dietmar Kröner
16:30
Paola Goatin
A general phase transition model for vehicular traffic
17:00
Siegfried Müller
Modeling phase transitions for compressible multi-phase flows
17:30
Christian Rohde
A Relaxed Navier-Stokes-Korteweg Model
18:00
Sylvie Benzoni-Gavage
On a phase field model for solid-liquid phase transitions
Crystalline interface evolution and related singular curvature flow
Organizer: Yoshikazu Giga & Piotr Rybka
16:30
Giovanni Bellettini
On a notion of solution to a forward-backward parabolic equation in one space dimension, and its regularizations
17.00
Robert Nürnberg
Numerical approximation of facetted pattern formation in snow crystal growth
17:30
Noriaki Yamazaki
Optimal control problems of phase field system with total variation functional as the interfacial energy
18:00
Matteo Bonforte
Total Variation Flow and Sign Fast Diffusion in one dimension
Qualitative Properties of Free Boundaries
Organizer: Bernd Kawohl
16:30
Giuseppe Buttazzo
Evolution of domains by spectral flows
17:00
Vincenzo Ferone
The longest shortest fence and sharp Poincar-Sobolev inequalities
17:30
Ryan Hynd
Option pricing in the large risk aversion, small transaction cost limit
18:00
Paolo Salani
An overdetermined problem with non constant boundary condition
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Free boundaries in mathematical biology
Organizer: John King
10:30
John King
Multiscale free boundary problems in mathematical biology
11:00
John Ward
Two moving boundary problems describing bacterial biofilm growth
11:30
Matthias Röger
A spatially coupled model for cell polarization
12:00 Danielle Hilhorst
A nonlinear parabolic-hyperbolic system for contact inhibition of cell-growth
Allen-Cahn and Cahn-Hilliard models
Organizer: Harald Garcke & Vanessa Styles
10:30
Yoshihiro Tonegawa
Existence and regularity of mean curvature flow via Allen-Cahn equation
11:00
Hassan Farshbaf-Shaker
Phase-field approaches to structural topology optimization
11:30
Ralf Kornhuber
Numerical Solution of vector-valued phase field equations
12:00
Pierluigi Colli
A nonstandard phase field system of viscous Cahn-Hilliard type