# 2020

### Mahir Hadzic (University College London)

(In)Stability Theory for Relativistic Galaxies and Stars

### Sam Punshon-Smith (Brown University)

A regularity method for quantitative lower bounds on the Lyapunov exponent for SDEs: with a proof of chaos for Lorenz 96

### Oscar Lopez Pamies (University of Illinois)

When and How Fracture Nucleates and Propagates in Rubber

### Xin Yang Lu (Lakehead University)

Centroidal Voronoi Tessellations And Gersho’s Conjecture In 3D And On The Sphere

### Alex Dunlap (Stanford University)

Stationary solutions for the stochastic Burgers equation on the line

### Marco Morandotti (Politecnico di Torino)

Spatially inhomogeneous evolutionary games and applications to social dynamics with label switching

### Anastasia Molchanova (TU Wien)

Failure of injectivity for limits of Sobolev homeomorphisms

### Jeff Calder (University of Minnesota)

Discrete to continuum in graph-based learning on k-nearest neighbor graphs

### Camillo De Lellis (Institute for Advanced Study)

Nonclassical minimizing oriented surfaces

### Hung Vinh Tran (University of Wisconsin Madison)

Optimal rate of convergence in periodic homogenization of Hamilton-Jacobi equations

# 2019

### Marina Ferreira (University of Helsinki)

Mass localization in multicomponent coagulation systems

### Riccardo Cristoferi (Heriot-Watt University)

Epitaxial crystal growth with adatoms

### Theodore Drivas (Princeton University)

Anomalous dissipation for passive scalars

### Robert P. Lipton (Louisiana State University)

Non-local Brittle Fracture Modeling

### Sean McCurdy (Carnegie Mellon University)

A two-phase free boundary problem for harmonic measure

### Russell Schwab (Michigan State University)

Analyzing a special case of the Hele-Shaw flow using integro-differential operators

### KiHyun Yun (Hankuk University of Foreign Studies)

High stresses occurring in fiber-reinforced composites

### Boris Springborn (TU Berlin)

Ideal Hyperbolic Polyhedra and Discrete Uniformization

### Pedro Aceves Sanchez (North Carolina State University)

Fractional diffusion limit of a linear kinetic transport equation in a bounded domain

### Tarek Elgindi (UCSD)

Singularity formation for classical solutions to the 3D Euler equation

### Hau-Tieng Wu (Duke University)

Single channel blind source separation and its clinical applications

### Adrian Tudorascu (West Virginia University)

Mean Field Games and Hamilton-Jacobi equations in spaces of probability measures

### Tran Minh Binh (Southern Methodist University)

On the energy cascade of acoustic wave turbulence: Beyond Kolmogorov-Zakharov solutions

### Hui Yu (Columbia University)

Regularity of optimal transport between planar convex domains

### Lei Li (Shanghai Jiao Tong University)

Some algorithms and analysis for first order interacting particle systems

### Elisa Davoli (University of Vienna)

Two-well rigidity and multidimensional sharp-interface limits for solid-solid phase transitions

### Rita Ferreira (KAUST)

Existence of weak solutions to first-order stationary mean-field games: a general framework, the case of Dirichlet conditions, and the congestion problem

# 2018

### Raghavendra Venkatraman (CMU)

Defects and Phase Transitions in Highly Anisotropic Nematic Liquid Crystals

### Michael Siegel (New Jersey Institute of Technology)

Accurate and efficient boundary integral computations for interfacial flow with surfactant

### Yulong Lu (Duke University)

Rényi entropy and gradient flow in classical and quantum dynamics

### Shawn Walker (Louisiana State University)

A Numerical Scheme for the Generalized Ericksen Model of Liquid Crystals With Applications to Virus DNA Packing

### Peter Palffy Muhoray (Kent State)

Repulsive and Attractive Interactions in Nematic Liquid Crystals

### Shankar Venkataramani (University of Arizona)

Existence and regularity for solutions to Hyperbolic Monge-Ampere equations with applications to Non-euclidean elasticity

### Jack Xin (UC Irvine)

Blended Coarse Gradient Descent for Full Quantization of Deep Neural Networks

### Smita Sahu (University of Durham)

An efficient filtered scheme for some first order time-dependent Hamilton-Jacobi equations

### Marco Morandotti (Technical University of Munich)

Structured deformations of continua: theory and applications

### Massimiliano Morini (U. Parma)

A Variational Approach to Nonlocal Geometric Flows and Crystalline Mean Curvature

### Nicola Fusco (U. Naples)

Asymptotic Stability of the Gradient of Flow of Nonlocal Energies

### Chris Henderson (University of Chicago)

The influence of non-local interactions on front propagation

### Carlos Mora Corral (Universidad Autonoma de Madrid)

Nonlocal variational problems and applications to peridynamics

### Roberto Camassa (University of North Carolina)

Tailoring the tails in Taylor dispersion

### Xiaoqin Guo (UW Madison)

Quantitative homogenization and Harnack inequality for a non-elliptic balanced random environment

### Luis Silvestre (University of Chicago)

Regularity and structure of scalar conservation laws

### Franca Hoffmann (Caltech)

Equilibria for nonlinear diffusion and nonlocal interaction

### Mike Shelley (Courant Institute)

The Dynamics of Microtubule/Motor-Protein Assemblies

### Peter Sternberg (Indiana University)

A Ginzburg-Landau type problem for highly anisotropic nematic liquid crystals

### Francesco De Anna (Penn State)

Global well-posedness for dynamical models of nematic liquid crystals

### Dmitriy Drusvyatskiy (University of Washington)

Slope and geometry in variational mathematics

# 2017

### Athanasios Tzavaras (KAUST)

The problem of shear band formation: a study of a parabolic regularization of an elliptic initial-value problem

### Jeffrey Case (Penn State)

Some results on a fully nonlinear boundary value problem from conformal geometry

### Alethea Barbaro (Case Western Reserve University)

Phase transition in a kinetic flocking models

### Martin Kruzik (Institute of Information Theory and Automation, Czech Republic)

Weak lower semicontinuity for signed integral functionals on BV and applications

### Alexis Drouot (Columbia University)

Resonances for highly oscillatory and stochastic Schrodinger operators

### Augusto Visintin (Universita' degli Studi di Trento)

Compactness and Structural Stability of Nonlinear Flows

### Stephan Wojtowytsch (Carnegie Mellon University)

Diffuse Interfaces and Topology: A Phase-Field Model for Willmore's Energy

### Nicolas Garcia Trillos (Brown University)

Graph-based Bayesian learning: continuum limits and scalability of sampling algorithms

### Monica Torres (Purdue University)

Characterizations of measures in the dual of $BV$ and related isometric isomorphisms

### Petronela Radu (University of Nebraska-Lincoln)

Double nonlocality in continuum mechanics models

### Katy Craig (University of California, Santa Barbara)

From slow diffusion to a hard height constraint: characterizing congested aggregation

### Maria Giovanna Mora (Universita degli Studi di Pavia)

The equilibrium measure for a nonlocal dislocation energy

### Christopher Larsen (Worcester Polytechnic Institute)

An overview of mathematical issues in dynamic fracture

### Michel Chipot (University of Zurich)

Minimal Solutions To Some Variational Inequalities

### Carlos Mora-Corral (Universidad Autonoma de Madrid)

Local invertibility in Sobolev spaces

### Daniel Tenbrinck (University of Muenster)

Graph Methods for Manifold-Valued Data

### Walter Craig (McMaster University)

On the size of the Navier - Stokes singular set

### Edriss Titi (Texas A & M and The Weizmann Institute of Science)

Analysis of Certain Geophysical Models: Global Regularity and Finite-time Blowup Results

# 2016

### Ihsan Topaloglu (Virginia Commonwealth University)

Droplet phase in a nonlocal isoperimetric problem under confinement

### Janusz Ginster (Carnegie Melllon University)

Plasticity as the Gamma-Limit of a Nonlinear Dislocation Energy with Mixed Growth

### Ari Stern (Washington University)

Recent advances in finite element exterior calculus

### Peter Gladbach (Carnegie Melllon University)

The phase-field model of dislocations: Interaction between parallel slip planes

### Abigail Hunter (Los Alamos National Lab)

Phase field dislocation dynamics (PFDD) for nanoscale fcc metals

### Gianluca Crippa (University of Basel)

Exponential self-similar mixing by incompressible flows

### Zack Bradshaw (University of Virginia)

Self-similar and discretely self-similar solutions to the Navier-Stokes equations

### Yao Yao (Georgia Tech)

Long time behavior of solutions to the 2D Keller-Segel equation with degenerate diffusion

### Benjamin Seibold (Temple University)

Nonlinear waves in traffic flow, and the future of traffic modeling

### Xiaoqian Xu (Carnegie Melllon University)

Suppression of chemotactic explosion by mixing

### Cheng Yu (UT Austin)

Existence of global weak solutions for 3D degenerate compressible Navier-Stokes equations

### Max Fathi (University of California, Berkeley)

Gradient flows and scaling limits for interacting particle systems

### Antoine Mellet (University of Maryland)

Anomalous diffusion phenomena: A kinetic approach

### Mikaela Iacobelli (University of Rome, Sapienza)

A gradient flow approach to quantization of measures

### Jeff Calder (UC Berkeley)

Partial differential equation continuum limits for discrete sorting problems

### Marian Bocea (Loyola University Chicago)

Duality for the L∞ Optimal Transport Problem

### Martin Glicksman (Florida Institute of Technology)

Thermodynamics of Autogenous Pattern Formation

### Ricardo Nochetto (University of Maryland)

Bilayer Plates: Model Reduction, Discretization and Gradient Flow

### Ming Chen (University of Pittsburgh)

Existence of large-amplitude solitary stratified water waves

### Panagiotis Souganidis (University of Chicago)

Scalar conservation laws with rough time dependence

### Daniel Tenbrinck (Muenster University)

Partial Difference Operators on Weighted Graphs for Point Cloud Processing - From 3D Surfaces to Machine Learning

### Robin Neumayer (University of Texas at Austin)

A strong form of the quantitative Wulff inequality

# 2015

### Stanley Snelson (University of Chicago)

Weak harmonic map flows with singular targets

### Timo Seppalainen (University of Wisconsin)

Kardar-Parisi-Zhang universality and the exactly solvable log-gamma polymer

### Daniel Spirn (University of Minnesota)

Hydrodynamic limits in Ginzburg-Landau theory

### Tarek Elgindi (Princeton University)

Well/ill-posedness issues for equations modelling incompressible fluid flow

### Marco Caroccia (Carnegie Melllon University)

On the asymptotic behavior of isoperimetric planar partitions

### Michael Kowalczyk (University of Chile)

Kink dynamics in the $ phi^4$ model: asymptotic stability for odd perturbations in the energy space

### Albert Cohen (Michigan State University)

Bond and CDS Pricing with Stochastic Recovery

### Lei Wu (Carnegie Melllon University)

Geometric correction for diffusive expansion in neutron transport equation

### Laurent Dietrich (Carnegie Melllon University)

Enhancement of propagation in reaction-diffusion equations by a line of fast diffusion

### Snejana Abarji (Carnegie Melllon University)

Scale coupling in Richtmyer-Meshkov flows

### Alberto Bressan (Pennsylvania State University)

Lipschitz Metrics for Nonlinear Wave Equations

### Saleh Tanveer (Ohio State University)

Quasi-solution approach towards nonlinear problems

### Charis Tsikkou (West Virginia University)

Analysis of 2+1 Diffusive-Dispersive PDE Arising in River Braiding

### Toan Nguyen (Pennsylvania State University)

On the stability of Prandtl boundary layer expansions of Navier-Stokes in the inviscid limit

### Nam Le (Indiana University)

Second inner variations of Allen-Cahn type energies and applications to local minimizers

### Chanwoo Kim (University of Wisconsin)

Stationary solutions to the Boltzmann equation in the Hydrodynamic limit

### Massimilano Morini (Universita' di Parma)

Motion of elastic films by anisotropic surface diffusion

### Nicola Fusco (Universita' di Napoli)

Stability of the isoperimetric inequality on the sphere

# 2014

### Wujun Zhang (University of Maryland)

A finite element method for nematic liquid crystals with variable degree of orientation

### Jacob Bedrossian (University of Maryland)

Mixing and enhanced dissipation in the inviscid limit of the Navier-Stokes equations near the 2D Couette flow

### Josh Ballew (Carnegie Melllon University)

Relative Entropy and the Navier-Stokes-Smoluchowski System for Compressible Fluids

### Changhui Tan (University of Maryland)

Flocking dynamics in different scales

### Elaine Cozzi (Oregon State University)

Solutions to the 2D Euler equations with velocity unbounded at infinity

### Michel Chipot (University of Zurich)

Limits of the Stokes and Navier-Stokes equations in a punctured periodic domain

### Luca Deseri (Mechanics, Materials and Computing Center, CEE & ME-CIT, Carnegie Mellon University)

Modeling membrane-receptors interplay due to ligand binding to GPCRs and cell response

### Scott Armstrong (CEREMADE Universite' Paris Dauphine)

Quantitative stochastic homogenization of convex energy functionals

### Elvira Zappale (Universita' di Salerno)

Existence of minimizers for non-level convex supremal functionals

### Bo Li (Case Western Reserve University)

Predictive modeling and simulation of High Energy Density (HED) dynamic response of materials

### Misha Neklyudov (University of Sydney)

Dynamics of nanomagnetic particle systems

### Laszlo Szekelyhidi (University of Leipzig)

The h-principle for the Euler equations

### John Ball (Oxford University)

Bounded domains, good boundary directions and topology

### Camillo De Lellis (University of Zurich)

Regularity and singularity of area-minimizing currents

### Pierre-Emmanuel Jabin (University of Maryland)

Regularity estimates for transport equations through "dual norms"

### Nicola Fusco (Universita' di Napoli)

On the stability of Almgren's isoperimetric inequality

### Michael Falk (Johns Hopkins University)

The Atomistic Origins of Plasticity, Localization and Failure in Amorphous Solids

# 2013

### Marshall Slemrod (University of Wisconsin-Madison)

A Korteweg approach to thermal transpiration and Sone's ghost effect

### Leonid Koralov (University of Maryland)

Polymer measures and branching diffusions

### Paolo Podio Guidugli (Universita' di Roma Tor Vergata)

On the validation of theories of thin elastic structure

### Gilles Francfort (Universite' Paris 13)

Periodic homogenization in Elasto-plasticity

### Ihsan Topaloglu (McGill University)

Minimization of an Energy Defined via an Attractive-Repulsive Interaction Potential

### Amy Novick-Cohen (Technion, Haifa)

Mobility measurements for grain growth: the grim reaper solution

### Yao Yao (University of Wisconsin)

Quasi-static evolution and congested crowd motion

### Eliot Fried (McGill University)

Stability and bifurcation of a soap film spanning an elastic loop

### Christophe Lacave (Universite' Paris-Diderot)

Well-posedness for Euler 2D in non-smooth domains

### Richard Ellis (University of Massachusetts, Amherst)

From Large Deviations to Statistical Mechanics: What Is the Most Likely Way for an Unlikely Event To Happen?

### Jose Carrillo (Imperial College, London)

Stable stationary states for repulsive-attractive potentials

### Ralph Showalter (Oregon State)

General Porous Medium Equation as a multi-phase methane-hydrate Model

### Benoit Pausader (Universite' de Paris XIII)

Global existence for the Euler-Maxwell 2 fluid system

### Stephen Watson (University of Glasgow)

G-Covariant Theory of Phase-Ordering Kinetics via the Emergent Symmetry Group G

### Robert Jensen (Loyola University Chicago)

Convexity of solutions to nonlinear PDEs

### Massimiliano Morini (Universita' di Parma)

Variational nonlocal curvature flows

### Robert Jerrard (University of Toronto)

On the stability of filament flows and Schroedinger maps

### Frank Merle (Universite' de Cergy-Pontoise)

Blowup for the Generalized Korteweg-de-Vries Equation

### Charles Smart (Massachusetts Institute of Technology)

Optimal regularity of Lipschitz extensions

### Michel Chipot (University of Zurich)

Elliptic Variational inequalities in unbounded domains

# 2012

### Irene Fonseca (Carnegie Mellon University)

Course 21-820: Modern Methods in the Calculus of Variations in Sobolev Spaces

Lecture 18

### Irene Fonseca (Carnegie Mellon University)

Course 21-820: Modern Methods in the Calculus of Variations in Sobolev Spaces

Lecture 17

### Irene Fonseca (Carnegie Mellon University)

Course 21-820: Modern Methods in the Calculus of Variations in Sobolev Spaces

Lecture 16

### Irene Fonseca (Carnegie Mellon University)

Course 21-820: Modern Methods in the Calculus of Variations in Sobolev Spaces

Lecture 15

### Matthew Elsey (Courant Institute, New York University)

Simulations of Polycrystalline Grain Growth with Unequal Surface Energies

### Isaac Chenchiah (University of Bristol)

Quasi-Static Brittle Damage Evolution with Multiple Damaged Elastic States

### Dorian Goldman (Courant Institute)

The Gamma limit of the Ohta-Kawasaki energy: Droplet density and the Renormalized Energy

### Marcus Wunsch (ETH, Zurich)

The Hunter-Saxton System and geodesics on (pseudo-) spheres

### Irene Fonseca (Carnegie Mellon University)

Course 21-820: Modern Methods in the Calculus of Variations in Sobolev Spaces

Lecture 14

### Jose' Miguel Urbano (CMUC - University of Coimbra)

Local Holder continuity for doubly nonlinear parabolic equations

### Irene Fonseca (Carnegie Mellon University)

Course 21-820: Modern Methods in the Calculus of Variations in Sobolev Spaces

Lecture 13

### Irene Fonseca (Carnegie Mellon University)

Course 21-820: Modern Methods in the Calculus of Variations in Sobolev Spaces

Lecture 12

### Irene Fonseca (Carnegie Mellon University)

Course 21-820: Modern Methods in the Calculus of Variations in Sobolev Spaces

Lecture 11

### Irene Fonseca (Carnegie Mellon University)

Course 21-820: Modern Methods in the Calculus of Variations in Sobolev Spaces

Lecture 10

### Irene Fonseca (Carnegie Mellon University)

Course 21-820: Modern Methods in the Calculus of Variations in Sobolev Spaces

Lecture 9

### Tao Huang (University of Kentucky)

Some new results on the uniqueness of heat flow of harmonic maps and nematic liquid crystal flows

### Irene Fonseca (Carnegie Mellon University)

Course 21-820: Modern Methods in the Calculus of Variations in Sobolev Spaces

Lecture 8

### Irene Fonseca (Carnegie Mellon University)

Course 21-820: Modern Methods in the Calculus of Variations in Sobolev Spaces

Lecture 7

### Misha Neklyudov (University of Tubingen)

The role of noise in ensembles of nanomagnetic particles

### Irene Fonseca (Carnegie Mellon University)

Course 21-820: Modern Methods in the Calculus of Variations in Sobolev Spaces

Lecture 6

### Xin Yang Lu (CNA)

Evolution schemes related to the average distance functional

### Irene Fonseca (Carnegie Mellon University)

Course 21-820: Modern Methods in the Calculus of Variations in Sobolev Spaces

Lecture 5

### Paolo Marcellini (Universita' di Firenze)

Nonlinear elliptic systems with general growth

### Irene Fonseca (Carnegie Mellon University)

Course 21-820: Modern Methods in the Calculus of Variations in Sobolev Spaces

Lecture 4

### Leonard Monsaingeon (Carnegie Melllon University)

Existence of travelling waves for a degenerate non-linear advection-diffusion equation

### Irene Fonseca (Carnegie Mellon University)

Course 21-820: Modern Methods in the Calculus of Variations in Sobolev Spaces

Lecture 3

### Irene Fonseca (Carnegie Mellon University)

Course 21-820: Modern Methods in the Calculus of Variations in Sobolev Spaces

Lecture 2

### Hao Wu (Fudan University)

Well-posedness and long-time behavior of the Hele-Shaw-Cahn-Hilliard system

### Irene Fonseca (Carnegie Mellon University)

Course 21-820: Modern Methods in the Calculus of Variations in Sobolev Spaces

Lecture 1

### Paolo Podio Guidugli (Universita' di Roma Tor Vergata)

Dissipative Entropy Makes The Heat Equation Hyperbolic

### Robert Pego (Carnegie Mellon University)

Course 21-820: Perspectives on Microstructure

Lecture 27

### Michael Goldman (Ecole Polytechnique)

Plane-like minimizers, calibrations and differentiability of the stable norm

### David Kinderlehrer (Carnegie Mellon University)

Course 21-820: Perspectives on Microstructure

Lecture 26

### Robert Pego (Carnegie Mellon University)

Course 21-820: Perspectives on Microstructure

Lecture 25

### Marco Morandotti (Carnegie Mellon University)

Self-propulsion in viscous fluids through shape deformation

### David Kinderlehrer (Carnegie Mellon University)

Course 21-820: Perspectives on Microstructure

Lecture 24

### David Kinderlehrer (Carnegie Mellon University)

Course 21-820: Perspectives on Microstructure

Lecture 23

### Peter Monk (University of Delaware)

Analysis of Hybridizable Discontinuous Galerkin Methods Applied to the Wave Equation

### David Kinderlehrer (Carnegie Mellon University)

Course 21-820: Perspectives on Microstructure

Lecture 22

### David Kinderlehrer (Carnegie Mellon University)

Course 21-820: Perspectives on Microstructure

Lecture 21

### David Kinderlehrer (Carnegie Mellon University)

Course 21-820: Perspectives on Microstructure

Lecture 20

### David Kinderlehrer (Carnegie Mellon University)

Course 21-820: Perspectives on Microstructure

Lecture 19

### Jim Kelliher (UC Riverside)

Bounded vorticity, bounded velocity (Serfati) solutions to 2D Euler equations in an external domain

### David Kinderlehrer (Carnegie Mellon University)

Course 21-820: Perspectives on Microstructure

Lecture 18

### Maria Emilianenko (George Mason University)

Course 21-820: Perspectives on Microstructure

Lecture 16

### David Kinderlehrer (Carnegie Mellon University)

Course 21-820: Perspectives on Microstructure

Lecture 16

### David Kinderlehrer (Carnegie Mellon University)

Course 21-820: Perspectives on Microstructure

Lecture 15

### Shu-Ming Sun (Virginia Polytechnic Institute)

Existence of Gravity-Capillary Waves on Water of Finite Depth

### David Kinderlehrer (Carnegie Mellon University)

Course 21-820: Perspectives on Microstructure

Lecture 14

### David Kinderlehrer (Carnegie Mellon University)

Course 21-820: Perspectives on Microstructure

Lecture 13

### David Kinderlehrer (Carnegie Mellon University)

Course 21-820: Perspectives on Microstructure

Lecture 12

### Dan Blazevski (University of Texas and Georgia Tech)

Classical scattering theory and applications to computing invariant manifolds in chemistry

### Katayun Barmak (Columbia University)

Course 21-820: Perspectives on Microstructure

Lecture 11

### David Kinderlehrer (Carnegie Mellon University)

Course 21-820: Perspectives on Microstructure

Lecture 10

### Nicola Fusco (Universita' di Napoli)

The sharp quantitative isoperimetric inequality and related inequalities in quantitative form

### David Kinderlehrer (Carnegie Mellon University)

Course 21-820: Perspectives on Microstructure

Lecture 9

### Massimiliano Morini (Universita' di Parma)

Motion of elastic thin films by anisotropic surface diffusion with curvature regularization

### Shlomo Ta'asan (Carnegie Mellon University)

Course 21-820: Perspectives on Microstructure

Lecture 8

### A. D. Rollett (Carnegie Mellon University)

Course 21-820: Perspectives on Microstructure

Lecture 7

### David Kinderlehrer (Carnegie Mellon University)

Course 21-820: Perspectives on Microstructure

Lecture 6

### David Kinderlehrer (Carnegie Mellon University)

Course 21-820: Perspectives on Microstructure

Lecture 5

### Henry Shum (Rudolf Peierls Centre for Theoretical Physics, University of Oxford)

Hydrodynamics and elastodynamics of flagellated bacteria

### David Kinderlehrer (Carnegie Mellon University)

Course 21-820: Perspectives on Microstructure

Lecture 4

### David Kinderlehrer (Carnegie Mellon University)

Course 21-820: Perspectives on Microstructure

Lecture 3

### David Kinderlehrer (Carnegie Mellon University)

Course 21-820: Perspectives on Microstructure

Lecture 2

# 2011

### Chris Evans (University of Missouri)

A Strong Maximum Principle for Reaction Diffusion Systems

### Michael Shearer (North Carolina State University)

Two Phase Flow in Porous Media: the Saffman-Taylor Instability Revisited

### Konstantinos Zygalakis (Oxford)

Qualitative behaviour of numerical methods for SDEs and application to homogenization

### Richard Kollar (Comenius University, Bratislava, Slovakia)

Coagulation-fragmentation dynamics in telomeres

### Dmitry Vorotnikov (University of Coimbra)

Global dissipative solutions of a coupled problem for image restoration

### Greg Hayrapetyan (Carnegie Mellon University)

Geometric evolution of interfaces in the functionalized Cahn-Hilliard equation

### David Owen (Carnegie Melllon University)

Moving interfaces that separate loose and compact phases of elastic aggregates

### Bernard Dacorogna (EPFL, Lausanne)

On the pullback equation for differential forms

### Jose Matias (Instituto Superior Tecnico Lisbon)

Coupled second order singular perturbations for phase transitions

### Thomas Laurent (University of California, Riverside)

Aggregation Patches (with movies!)

### Matteo Focardi (Universita' degli Studi, Firenze)

An Intrinsic Approach to Manifold Constrained Variational Problems

### Pierre Cardaliaguet (University of Paris, Dauphine)

On the homogenization of an equation arising in flame propagation problems

### Adrian Tudorascu (West Virginia University)

Weak Lagrangian solutions for the Semi-Geostrophic system in physical space

### Charles Smart (Courant Institute, NYU)

Partial regularity for fully nonlinear uniformly elliptic equations

### Jeff Ovall (University of Kentucky)

A Framework for Constructing and Analyzing Hierarchical-Type Error Estimators

### Yasemin Sengul (University of Coimbra)

Well-posedness of dynamics of microstructure in solids

### Arghir Zarnescu (Oxford)

Mathematical problems of the Q-tensor theory of liquid crystals