2006 MEXICO
 

                   
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CIMPA-UNESCO-MEXICO School

Propagation of waves

Objectives :
This school is an introduction to different subjects related with the propagation of waves. Considering that waves occur in nearly all branches of physics and engineering, with the general title "Propagation of waves'' we can integrate several topics of interest in the region. The course can integrate pure and applied mathematicians, physicists and engineers in a wide topic that includes some of the most relevant areas in the region such as seismic waves or oil recovery.

Scientific Directors and organizers:
Dr.Salvador Pérez-Esteva. Instituto de Matemáticas-Cuernavaca, Universidad Nacional Autónoma de México (UNAM), Av. Universidad s/n, col. Lomas de Chamilpa C.P. 62210 Cuernavaca, Morelos, México.
salvador@matcuer.unam.mx
Dra. Luz de Teresa. Instituto de Matemáticas-D.F., UNAM, Circuito Exterior C.U. 04510 D.F. México
deteresa@matem.unam.mx
Dr. Arturo Portnoy Department of Mathematics University of Puerto Rico at Mayaguez P.O. Box 9018 Mayaguez, PR 00681-9018 USA
portna@math.uprm.edu Phone: (787)265-3848 Fax: (787)265-5454

Scientific committee:
Jean Pierre Puel. Université de Versailles (France).
Enrique Zuazua Iriondo. Universidad Autónoma de Madrid (Spain).
Michael Vogelius. Rutgers University (USA). 
Jorge Ize. Instituto de Investigación en Matemáticas Aplicadas y en Sistemas, UNAM (Mexico).
Jose Antonio de la Peña. Director Instituto de Matemáticas, UNAM (Mexico).

Working languages:
Spanish, French, English

Date and location :
January 16-27, 2006
The school will take place at the Instituto de Matemáticas of UNAM at Cuernavaca (Mexico)

Scientific program:
Mini Courses of  7.5 hours

  • "Wave propagation in heterogeneous media: mathematical and numerical modeling." (abstract)
    Andre Nachbin, Instituto Nacional de Matemática Pura e Aplicada, Brazil.
  • "Ray theory in wave propagation." (abstract)
    Carlos Piedrahita, Instituto Colombiano del Petroleo, Colombia.
  • "Hybrid systems of PDE's arising in fluid-structure interaction." (abstract)
    Enrique Zuazua, Universidad Autónoma de Madrid, Spain.
  • "Contrôle de l'équation de Schrodinger" (abstract)
    Nicolas Burq, Université de Paris Sud, France.
  • "On almost parallel vortex filaments" (abstract)
    Gustavo Ponce, University of California, Santa Barbara, USA.
  • "Travel time tomography" (abstract)
    Gunther Uhlmann, University of Washington, Seattle, USA.

There will be 12 invited lectures of one hour each complemented with a series of contributed talks. We also plan to have discussion groups on possible research directions with the hope that the participants will continue their studies and research independently.

  • "Nonlocal solitons and modulational instability in nematic liquid crystals" Gaetano Assanto. Universitá degli Studi RomaTre, Italy.
  • 1 Optical vorticulture
    2 Polarization fingerprints in the clear blue sky
    3 Conical diffraction: imaging Hamilton's diabolical point
    Michael Berry. H H Wills Physics Laboratory, Bristol, United Kingdom.
  • "Identification of immersed obstacles via boundary measurements" Carlos Conca, Universidad de Chile, Chile.
  • "Numerical Approximation of Wave Transport using Wavelets and Characteristic Methods", Richard Ewing, Texas A & M, USA
  • TBA Gregory Kriegsmann, New Jersey Institute of Technology, USA.
  • "Dispersive estimates for waves" Gilles Lebeau, Université de Nice, France.
  • "Asymptotics of two space dimensional solitons in the presence of radiation", Anton Maria Minzoni. IIMAS, UNAM, Mexico.
  • " Comportamiento asintótico de soluciones de ecuaciones no lineales disipativas", Pavel Naumkin, Instituto de Matemáticas-Morelia, UNAM, Mexico
  • "Solution of some inverse problems for the wave equation and related results", Jean Pierre Puel, Université de Versailles-Saint Quentin, France.
  • "Water waves with bottom topography", Catherine Sulem, University of Toronto, Canada

Prerequisites :
The school is adressed to third cycle students (Magister, Master, Ph. D.) and professor-researchers interested that work in the domain of the mathematics, the physics and the engineering .

Local web site : www.matem.unam.mx/escuelaCIMPA

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Last update : 2007-03-28.