Partial Differential Equations, Optimal Design and Numerics

BENASQUE CENTER FOR SCIENCE


Partial Differential Equations, Optimal Design and Numerics

2005, August 28-September 9



Monday, August 29
  • 11:00h
  • Opening address
     Casa de Cultura
  • 11:15h
  • Transport equations and Cauchy problem for non-smooth vector fields and applications
     L. Ambrosio
  • 12:30h
  • Some problems in control and stabilization of fluid flows
     J.-P. Raymond
  • 13:00h
  • The topological gradient and its applications
     M. Masmoudi
  • 16:30h
  • Asymptotic behavior of nonautonomous reaction diffusion equations
     A. Rodríguez-Bernal
  • 17:00h
  • Presentation of participants and topics of interest
     G. Buttazzo, E. Zuazua

    Tuesday, August 30
    • 09:30h
    • Image restoration and mathematical aspects of total variation based u+v decomposition
       V. Caselles
    • 11:00h
    • PDEs with highly variable coefficients: modelling, asymptotics and computation
       A. Nachbin
    • 11:30h
    • Controllability of 1-d isentropic Euler equation
       O. Glass
    • 12:00h
    • Working session: Image processing and restoration
       R. Acar, V. Caselles,...
    • 16:30h
    • On the motion of a rigid body in a perfect fluid
       L. Rosier
    • 17:00h
    • Working session: Asymptotics for fluid and other evolution models
       P. Freitas, A. Nachbin, A. Rodríguez-Bernal,...

      Wednesday, August 31
      • 09:30h
      • Bloch waves and homogenization problems.
         M. Vanninathan
      • 11:00h
      • The crack inverse problem
         D. Bucur
      • 11:30h
      • Finite element approximation of wild optimal shapes
         D. Chenais
      • 12:00h
      • Working session: Shape optimization for spectral problems
         D. Bucur, G. Buttazzo, P. Freitas
      • 16:30h
      • Optimal internal stabilisation of a wave equation by a level set method
         A. Münch
      • 17:00h
      • Working session: Numerical methods for PDE
         B. Ayuso, R. Donat, A. Nachbin, C. Parés, E. Zuazua

        Thursday, September 01
        • 09:30h
        • Optimization problems in mass transportation theory
           G. Buttazzo
        • 11:00h
        • Unique continuation for parabolic systems
           O. Kavian
        • 11:30h
        • On a quasielectrostatic piezoelectric model: Stabilization, boundary observation and simultaneous controllability
           G. Perla-Menzala
        • 12:00h
        • Open math discussion on shape optimization for structures
           G. Buttazzo, D. Chenais, M. Masmoudi
        • 16:30h
        • Numerical methods for nonconservative hyperbolic systems
           C. Parés
        • 17:00h
        • Working session: Schrödinger equations
           K. Beauchard,...

          Friday, September 02
          • 09:30h
          • Carleman inequalities: applications and open problems
             J.P. Puel
          • 11:00h
          • Optimal control of PDE's on networked domains: controllability, domain decomposition and homogenization
             G. Leugering
          • 11:30h
          • Neumann boundary conditions for the $\infty$-Laplacian and the Monge-Kantorovich mass transfer
             J. Rossi
          • 12:00h
          • Working session: Optimal transport and Monge-Kantorovich equation
             L. Ambrosio, G. Buttazzo,...
          • 16:30h
          • Numerical methods for the control of the wave equation
             C. Castro
          • 17:00h
          • Working session: Numerical methods for control problems
             C. Castro, E. Zuazua

            Saturday, September 03
            • 09:30h
            • Dissipative structure of hyperbolic systems
               S. Kawashima
            • 11:00h
            • Some Optimal Design problems related to river fishways
               L. Alvarez-Vázquez, A. Martínez, M. Vázquez, M. Vilar
            • 11:30h
            • Some flows in shape optimization
               O. Ley
            • 12:00h
            • Working session: Front propagation and gradient flows
               L. Ambrosio, O. Ley

              Sunday, September 04

                Monday, September 05
                • 09:30h
                • A Brinkman penalization technique for a fluid flow with obstacles
                   R. Donat
                • 11:00h
                • Existence and description of attractors for parabolic systems
                   P. Freitas
                • 11:30h
                • Relaxed state laws in 2-d through set-valued maps
                   P. Pedregal
                • 12:00h
                • Working session: Fluid-Structure interaction
                   M. Boulakia, J. Ortega, J. P. Puel, L. Rosier, T. Takahashi, A. Orriols,
                • 16:30h
                • Twisting vs bending in quantum wave guides
                   D. Krejcirik
                • 17:00h
                • Working session: Unique continuation and control for parabolic problems
                   S. Guerrero, O. Kavian, J. P. Puel, A. Omrane

                  Tuesday, September 06
                  • 09:30h
                  • Local minimizers for boundary reactions: renormalized energy and applications
                     X. Cabre
                  • 11:00h
                  • Blow up in finite time vs. globally defined solutions in reaction-diffusion equations
                     J. M. Arrieta
                  • 11:30h
                  • Spectral Stiff Problems
                     M. E. Perez
                  • 12:00h
                  • Working session: Homogenization and networks
                     G. Leugering, M. Vanninathan

                    Wednesday, September 07
                    • 09:30h
                    • Variational Moldels in Fracture Mechanics
                       G. Dal Maso
                    • 11:00h
                    • On a viscoelastic spring-mass model
                       J. Sola Morales
                    • 11:30h
                    • Navier Stokes Channel Flow: Closed-Form Gains for Control and Observer Design
                       M. Krstic
                    • 12:00h
                    • Presentation of ICM06, Madrid, August 2006
                       P. Pedregal
                    • 12:10h
                    • Working session: Variational problems with discontinuities and applications
                       G. Dal Maso
                    • 16:30h
                    • Controllability of 1-d Schrödinger equations
                       K. Beauchard
                    • 17:00h
                    • Working session: Reaction-diffusion equations and travelling waves solutions
                       J.M. Arrieta, X. Cabré, J. Sola-Morales

                      Thursday, September 08
                      • 09:30h
                      • Some open problems
                         E. Zuazua
                      • 11:00h
                      • Topological sensitivity analysis: theory and APPLICATIONS
                         A. Novotny
                      • 11:30h
                      • A geometric inverse problem for fluids
                         J. Ortega
                      • 12:00h
                      • Working session: Informal discussion on open problems and perspectives of future research
                         
                      • 16:30h
                      • Open problem session
                         Open problems will be presented and discussed by all participants willing to do it