Physics and Mathematics of Growing Interfaces

January 8-13, 2006
 

Schedule:

Monday 

8:00-8:50         Robert Ecke, Mark Mineev, Sam Howison Introductory remarks                       

                        Stochastic Laplacian Growth (DLA) 

9:00-9:55         Thomas Halsey Diffusion-Limited Aggregation: An Overview 

10:00-10:30     Coffee break 

10:30-11:25     Leonard Sander Random walks, diffusion limited aggregation in a wedge, and average conformal maps 

11:30-12:30     Discussions 

Stochastic Laplacian Growth (Loewner Evolution and Random Matrices) 

2:00-2:55         Ilya Gruzberg Stochastic dynamics of conformal maps: from critical phenomena to stochastic growth 

3:00-3:55         Anton Zabrodin Integrability of Laplacian growth, random matrices, and the Loewner equation 

4:00-4:30         Coffee break 

4:30-5:30         Discussions 

6:00-8:00         Poster Session (and reception) 

Tuesday 

Fracture Dynamics and Related Problems 

8:00-8:55         James Langer Theory of Large Deformations in Amorphous Solids: Why Structural Engineers May Need New Ideas in Nonequilibrium Physics. 

9:00-9:25         Jay Fineberg Universality and hysteretic dynamics in dynamic fracture: The rapid fracture of brittle gels 

9:30-9:55         Vincent Hakim Phase-field description of brittle fracture and laws of crack motion 

10:00-10:30     Coffee break 

10:30-10:55     Itamar Procaccia Statistical physics of rough fracture interfaces 

11:00-11:25     Vladimir Entov On fracture and breakup of fluids 

11:30-12:30     Discussions 

Advances in Integrability of Free Boundaries 

2:00-2:25         Alexandre Abanov Quantum hydrodynamics in one dimension. Quantizing deep water waves. 

2:30-2:55         Paul Wiegmann Quantum Shock Waves: Hydrodynamics instabilities in coherent quantum systems 

3:00-3:55         Darren Crowdy Integrability in fluid dynamics 

4:00-4:30         Coffee break 

4:30-5:30         Discussions 

6:00-8:00         Poster Session (and reception) 

Wednesday 

Free Boundaries and Some Advances in Nonequilibrium Physics 

8:00-8:25         Raymond Goldstein Stalactite growth as a free boundary problem 

8:30-8:55         David Kessler Fluctuation-regularized front propagation dynamics in a reaction-diffusion system 

9:00-9:25         James Langer Dynamics and thermodynamics of the glass transition 

9:30-10:00       Coffee break 

10:00-10:25     Boris Spivak Transport in two dimensional electronic microemulsions 

10:30-10:55     Benny Davidovich Patterns on eroded solids: continuum dynamics of ion sputtered surfaces 

11:00-11:25     Thomas Frisch Instability and growth on a vicinal surface: application to Si (001) 

11:30-12:30     Discussions 

Laplacian Growth in a Hele-Shaw cell (Selection) 

2:00-2:55         Mitchell Feigenbaum Saffman-Taylor selection and remote boundary conditions 

3:00-3:25         Herbert Levine Microscopic selection of viscous fingers 

3:30-3:55         Matthew Thrasher Fjords in viscous fingering: selection of width and opening angle 

4:00-4:30         Coffee break 

Laplacian Growth in a Hele-Shaw cell (near a Cusp) 

4:30-4:55         Eldad Bettelheim Integrability in the viscous fingering problem 

5:00-5:25         Oded Agam Tip-splitting evolution in the idealized Saffman-Taylor problem 

5:30-6:30         Discussions 

7:30                 Banquet 

Thursday 

Laplacian Dynamics in a Hele-Shaw cell (Continuation) 

8:00-8:25         Ute Ebert An analytically solvable regularized moving boundary problem motivated by spark evolution 

8:30-8:55         Baruch Meerson Scaling and self-similarity in an unforced Hele-Shaw flow  

Laplacian Growth and Related Mathematics 

9:00-9:55         Bjorn Gustafsson Laplacian growth and potential theory 

10:00-10:30     Coffee break 

10:30-10:55     Mihaj Putinar Quadrature domains as extremal solutions of a moment problem 

11:00-11:25     Igor Loutsenko The Variable Coefficient Hele-Shaw, Integrability and Quadrature Identities 

11:30-12:30     Discussions 

Laplacian Growth and Related Mathematics (Continuation) 

2:00-2:25         Sam Howison The two-phase Hele-Shaw (Muskat) problem  

Ideal Fluid Surfaces 

2:30-2:55         J Raymond Ristorcelli Initial condition dependence of RT turbulence 

3:00-3:25         Daniel Livescu Surface dynamics in buoyancy-driven homogeneous variable density turbulence

3:30-3:55         Peter Vorobjeff Mixing interface evoluton in a 2D simulation of Richtmyer-Meshkov instability 

4:00-4:30         Coffee break 

4:30-4:55         Balu Balasubramaniam Shock-induced interfacial mixing. Part I. Analysis and evolution of re-shocked interfaces 

5:00-5:25         Chris Tomkins Shock-induced interfacial mixing.

Part II. Planar velocity and scalar concentration measurements

5:30-6:30         Discussions

 Friday 

Random Matrices, Quantum Gravity, and Riemann-Hilbert Problem 

8:00-8:40         Andrei Mironov Matrix models: technique or ideology 

8:45-9:10         Dmitry Vasiliev Large N expansion in matrix models 

9:15-9:55         Vladimir Kazakov Matrix models, random graphs and 2d quantum gravity 

10:00-10:30     Coffee break 

10:30-10:55     Yuri Antipov Riemann-Hilbert problem on Riemann surfaces in elasticity 

11:00-11:25     Alexandre Orlov Integrable systems and random processes 

11:30-12:30     Discussions 

Growth of Biological Forms 

2:00-2:55         Martine Ben Amar Growth and elasticity of soft tissues 

3:00-3:25         Eran Sharon Shaping thin sheets and the geometry of wavy leaves 

3:30-3:55         John King Moving boundary problems in biological tissue growth 

4:00-4:30         Coffee break 

4:30-4:55         Linda Cummings Lipid raft formation: Experiments and mathematical modeling 

5:00-5:25         Dmitry Leshchiner Shape reconstruction algorithm for abelian domains with application to Laplacian growth processes