Centre International de Mathématiques Pures et Appliquées

CIMPA-UNESCO-MESR-MINECO-MONGOLIA research school

Objectives :

The CIMPA research school "Partial Differential Equations in Mechanics" will focus on certain recent progress of mathematical analysis and numerical computations related to the partial differential equations namely to fluid mechanics for engineering science. Lectures aim to introduce advanced techniques for the numerical computation of solutions of several classes of PDEs. In particular finite element, finite difference and spectral methods, definition of numerical simulations for different models, comparison with the predictions of analytic results will be presented. A special attention will be given to the convergence of phase field models to sharp interface models for vanishing width of the diffusive interface in the phase field model and construction of asymptotic solutions. Some classes of partial differential equations are going from Stokes or Navier-Stokes equations, to those describing the option pricing. Also it will be introduced a treatment for the homogenization of an elastic Tresca friction problem.

Administrative and scientific coordinators

 Sarantuya Tsedendamba (saraa at must.edu.mn)
 Doina Cioranescu (CNRS Laboratoire J. L. Lions, University Paris VI , France) Administrative and scientific mathematicians coordinator (cioran at ann.jussieu.fr)

Scientific committee :

 Doina Cioranescu (CNRS Laboratoire J. L. Lions, University Paris VI , France), Administrative and scientific mathematicians coordinator (cioran at ann.jussieu.fr)
 Hans-Dieter Alber (University of Technology Darmstadt, Germany), Invited Lecturer, (alber at mathematik.tu-darmstadt.de)
 Alain Damlamian (Université Paris-Est Val de Marne, France), Invited Lecturer (damlmian at u-pec.fr)
 Reinhard Farwig (University of Technology Darmstadt, Germany), Invited Lecturer (farwig at mathematik.tu-darmstadt.de)
 Thomas Mikosch (University of Copenhagen, Denmark), Invited Lecturer (mikosch at math.ku.dk)
 Christian Wieners (Karlsruhe Institute of Technology,Germany), Invited Lecturer (christian.wieners at kit.edu)

Local organizing committee :

 Sarantuya Tsedendamba (saraa at must.edu.mn)
 Tsedenbayar Dashdondog (tsedenbayar at must.edu.mn)
 Buyantogtokh Danzan (buyad at must.edu.mn)
 Ochirbat Baatar (baatar at must.edu.mn)
 Bazarsad Yadam (ya_zardas4 at yahoo.com)

Date and location :

July 15-28, 2013, Ulaanbaatar, Mongolia

Scientific program :

 Doina Cioranescu , CNRS Laboratoire J. L. Lions, University Paris VI , France “Fluid flows through porous media”
 Hans-Dieter Alber , University of Darmstadt, Germany "Theory and numerical simulation of phase transformations in solids"
 Alain Damlamian, Université Paris-Est Val de Marne, France "Periodic homogenization of elastic media with contact on oscillating interfaces"
 Reinhard Farwig , University of Technology Darmstadt, Germany ‘’The Navier-Stokes Equations’’
 Thomas Mikosch, University of Copenhagen, Denmark ‘’ Introduction to Poisson random measures and Poisson integrals’’
 Christian Wieners, Karlsruhe Institute of Technology, Germany “ Numerical approximation of elasto-plasticity”

Deadline for registration :

April 14, 2013

Application procedure and Online registration only for applicants not from Mongolia

Applicants from Mongolia must apply via the following webpage : http://www.cimpa-mongolia.mn/page.a...