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
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