Workshop on Whitham Equations
and Their Applications in Mathematics and Physics
International School for Advanced Studies (SISSA), Trieste, Italy
November 27 - December 3, 2000
Supported by:
- International School for Advanced Studies (SISSA), Trieste, Italy
-
Interdisciplinary Laboratory of Natural and Humanistic Sciences - SISSA
-
MURST Cofin99 research project Geometry of Integrable Systems.
The Interdisciplinary Laboratory of Natural and Humanistic Sciences
and the Mathematical Physics Group of the International School for Advanced
Studies (SISSA) in Trieste organize a workshop on Whitham equations and
their mathematical and physical applications. The workshop aims at fostering
the interaction between mathematicians and physicists dealing with various
applications of nonlinear semiclassical approximations.
Topics: Whitham equations
-
in the theory of dispersive waves: variational principles and Hamiltonian
formalism;
-
and differential and algebraic geometry;
-
in plasma physics;
-
in fiber optics;
-
in string theory
International Scientific Committee: B.Dubrovin (SISSA, Trieste),
A.Gurevich (Lebedev Physical Institute, Moscow), D.Levermore (University
of Maryland at College Park and University of Arizona, Tucson).
Local Organizing Committee: B.Dubrovin, G.Falqui, A.Maltsev
(SISSA), S. Fantoni (Interdisciplinary Laboratory for Natural and Humanistic
Sciences).
Invited Talks:
-
Jared BRONSKI, Modulations in a model of Bose-Einstein Condensate.
-
Serguei Yu. DOBROKHOTOV,
On integrability effects of Hugoniot-Maslov chains for vortices on
shallow water
-
Nicholas M. ERCOLANI, Asymptotic Analysis of an Integrable Chain of
Random Matrices
-
Lazar FRIEDLAND, Extension of Whitham's Method to Resonantly Driven Waves:
Wave Autoresonance and its Applications.
-
Tamara GRAVA, Some global results on the solutions of the Whitham
equations.
-
Roger GRIMSHAW, Undular bores in the Kaup-Boussinesq system.
-
Alexander GUREVICH, TBA.
-
Anatoly KAMCHATNOV, Application of Whitham method to modulationally unstable
systems.
-
Yuji KODAMA, Some applications of the Whitham equation to nonlinear
optics.
-
David LEVERMORE, TBA.
-
Andrei MALTSEV, TBA.
-
Kenneth McLAUGHLIN, Solution procedure for Whitham modulation equations
via Riemann--Hilbert techniques.
-
Peter D. MILLER, On the semiclassical focusing nonlinear Schroedinger equation.
-
Yurii OSSIPOV, TBA.
-
Arkadii SHAGALOV, Numerical simulation of soliton turbulence.
-
Fey-Ran TIAN, TBA.
- Stephanos VENAKIDES, TBA.
-
Anton ZABRODIN, Whitham hierarchy and 2D inverse potential problem.
-
Kyrill ZYBIN, TBA.
Format.
45-minute talks during morning and afternoon sessions. There will be
room for a few shorter communications, whose programme will be decided
by the Scientific Committee during the Workshop. We aim at having a relatively
small audience of specialists to ensure an informal and cooperative atmosphere.
The arrival day will be November 27, and the departure day December 3.
The activities of the workshop will begin on Tuesday, Nov. 28.
Preliminary Programme
Accommodation.
Participants will be accommodated in 3-star hotels at a cost ranging
between 85,000 and 120,000 lire per night (1 USD ~ 2200 lire). Some junior
participants may be accommodated in the youth hostel adjacent the Miramare
Castle at the cost of about 30,000 lire per night. The payment of a fee
of 100,000 lire will be required upon registration at the beginning
of the workshop.
Travel information.
The workshop will be held at the Miramare campus (http://www.ictp.trieste.it/ictp-campus.html)
near Trieste.
Trieste is located in north-eastern Italy
It is connected by Intercity trains (timetables)
to Milano (via Venezia) and Rome (via Firenze-Bologna- Venezia).
Trieste airport
is in Ronchi dei Legionari, some 35 km
west of Trieste. The airport is served by flights connecting to Roma, Milano,
Genova, Torino, Munich (Germany), and Beograd (Yugoslavia). A shuttle bus
connects the airport to the city; it also stops nearby the SISSA campus.
For further information about travel and Trieste can be found here
or at the SISSA or ICTP web pages
(http://www.sissa.it or http://www.ictp.trieste.it).
E-mail address: whitham2000@fm.sissa.it
Postal address: B.Dubrovin, Secretariat of Whitham2000, SISSA, Via
Beirut 2-4, I-34013 Trieste, Italy.