Centro de Ciencias de Benasque Pedro Pascual

Centro de Ciencias de Benasque Pedro Pascual

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Partial differential equations, optimal design and numerics

2011, Aug 28 -- Sep 09

G. Buttazzo (U. Pisa)
E. Zuazua (BCAM)

Monday, August 29
  • 09:20h
  • Opening address
     G. Buttazzo and E. Zuazua
  • 09:30h
  • Zero pressure and viscosity limit of the 1D-Navier-Stokes-Poisson system
     Y. Brenier
  • 10:15h
  • A system of Schrödinger equations modeling two trapped ions. Some controllability results and open problems
     J.P. Puel
  • 11:30h
  • Wave Equations with non Lipschitz coefficients
     F. Colombini
  • 12:15h
  • The interpretation of entropy conditions for flux limited diffusion equations
     V. Caselles
  • 18:00h
  • Meeting to discuss the organization of open sessions
     chaired by G. Buttazzo and E. Zuazua

    Tuesday, August 30
    • 09:30h
    • Thin domains with oscillatory boundaries
       J. Arrieta
    • 10:15h
    • Partial regularity for general free discontinuity problems
       D. Bucur
    • 11:00h
    • Controllability results for degenerate parabolic equations
       P. Cannarsa
    • 12:15h
    • open session on 'Shape Optimization Problems I'
       chaired by Giuseppe Buttazzo and Yannick Privat

    • On random optimal design problems for elliptic problems
       G. Buttazzo and F. Maestre
        Topology optimization methods with gradient-free perimeter perimeter approximation
       N. Van Goethem and S. Amstutz

    • 16:30h
    • Very degenerate elliptic equations: applications and regularity
       F. Santambrogio
    • 17:30h
    • Open session on 'Aggregation vs. Diffusion'
       chaired by J.A. Carrillo and A. Blanchet

    • Aggregation versus Diffusion
       A. Blanchet, J. A. Carrillo, P. Laurençot, S. Lisini
        Parabolic-elliptic Keller-Segel system with nonlinear diffusion
       P. Laurençot

      Wednesday, August 31
      • 09:30h
      • How to estimate the velocity of a fluid flow (governed by the Navier-Stokes equations) from boundary pressure measurements?
         J.P. Raymond
      • 10:15h
      • Improved Sobolev inequalities using nonlinear flows
         J. Dolbeault
      • 11:00h
      • Relative entropies, suitable weak solutions, and weak-strong uniqueness for the compressible Navier-Stokes system
         E. Feireisl
      • 12:15h
      • Open session on 'Numerical Methods in Control Problems'
         chaired by Sylvain Ervedoza et Markus Widhalm

      • Wave propagation in discrete heterogeneous media
         A. Marica
          Stabilization for solving linear systems in context of adjoint techniques
         M. Widhalm & R.P. Dwight
          A stabilized Finite Element Method for a solid immersed in a viscous incompressible fluid
         S. Court
          From the control of Galerkin approximations to the approximate controllability of the Schridinger equation
         M. Sigalotti

      • 16:30h
      • presentation of the project CONEDP in the framework of the European GDRE program
         Fatiha Alabau
      • 16:45h
      • Numerical results for an optimal design problem with a non-linear cost in the gradient
         M. Luna-Laynez
      • 17:45h
      • Open session on umerical 'Methods for Hyperbolic and Kinetic Models'
         chaired by Rosa Donat and Marjolaine Puel

      • Adaptive mesh refinement techniques for well-balanced schemes for shallow water flows
         P. Mulet

        Thursday, September 01
        • 09:30h
        • Keller-Segel fast diffusion and functional inequalities
           J.A. Carrillo
        • 10:15h
        • Material design and life cycle optimization
           G. Leugering
        • 11:00h
        • A thin film approximation to the Muskat problem
           P. Laurençot
        • 12:15h
        • Open session on 'Geometric inequalities'
           chaired by M.S. Gelli and A. Pratelli

        • A new proof of HLS inequalities
           J. A. Carrillo
            Symmetry and symmetry breaking of extremal functions in some interpolation inequalities: an overview
           J. Dolbeault
            Some quantitative spectral inequalities
           A. Pratelli
            Bonnesen type inequalities in the anisotropic case
           M. S. Gelli

        • 16:30h
        • Convergence of an inverse problem for discrete wave equations
           L. Baudouin
        • 17:30h
        • open session on 'Dynamical systems'
           chaired by A. Rodríguez Bernal and R. Joly

        • Asymptotic behavior of degenerate logistic equations
           A. Rodríguez-Bernal
            The route to dissipativity
           A. Rodiguez-Bernal

          Friday, September 02
          • 09:30h
          • open session on 'PDEs in Fluid Mechanics'
             chaired by E. Feireisl and Y. Brenier

          • On the asymptotic behavior of the full avier-Stokes-Fourier system
             Eduard Feireisl
              Relations between Convexity and Convection
             Yann Brenier
              Geometric analysis issues in uncompressible fluid mechanics
             Yann Brenier

          • 11:30h
          • open session on 'Control of coupled systems'
             chaired by L. De Teresa and M. Leautaud

          • Null Controllability of Coupled Parabolic Degenerate Equations
             L. Maniar

          • 16:30h
          • Approximations for orientation-preserving displacements in nonlinear elasticity
             A. Pratelli
          • 17:30h
          • open session on 'Shape and topology optimization: applications and numerical methods'
             chaired by A. Novotny and M. Verani

          • Shape and topology optimization for piezo- mechanic-acoustic couplings
             G. Leugering
              Adaptive Finite Elements for Shape Optimization
             Marco Verani

            Monday, September 05
            • 09:30h
            • Cubic Schroedinger equation: controllability/non-controllability results by geometric control methods
               A. Sarychev
            • 10:15h
            • Homogenization and corrector results for the wave equation
               J. Casado Diaz
            • 11:00h
            • Geometric control condition and systems of coupled wave equations
               B. Dehman
            • 12:15h
            • Open session on 'Shape optimization problems II'
               chaired by Giuseppe Buttazzo and Antoine Laurain

            • Numerical Methods for a Shape Optimization Problem 1
               A. Laurain
                Control Problems in the coefficients with a nonlinear cost functional in the gradient
               J. Casado-Díaz

            • 16:30h
            • Dispersive properties for Schrödinger equations
               I.L. Ignat
            • 17:30h
            • Open session on "Control of hyperbolic systems"
               chaired by F. Alabau and B. Dehman

            • Optimal control for a conservation law modeling the development of ovulation
               Peipei Shang

              Tuesday, September 06
              • 09:30h
              • Stabilisation for the semilinear wave equation with geometric control condition
                 R. Joly and C. Laurent
              • 10:15h
              • Diffraction by random dielectric structures
                 G. Bouchitté
              • 11:00h
              • Asymptotic stability of dissipative systems with on/off damping
                 M. Sigalotti
              • 12:15h
              • open session on "Waves in networks"
                 chaired by L. Ignat and G. Leugering

              • Open session on networks
                 L. Ignat
                  Inverse problem for the heat equation and the ̈ Schrodinger equation on a tree
                 L. Rosier

              • 16:30h
              • continuation of the open sessions "Shape optimization problems" and "Waves in networks"

                Wednesday, September 07
                • 09:30h
                • Dynamics of a rigid body in a perfect incompressible fluid
                   O. Glass
                • 10:15h
                • Controllability of coupled hyperbolic and parabolic systems by a reduced number of controls
                   F. Alabau
                • 11:00h
                • One example of doing simultaneous homogenization and dimensional reduction in elasticity
                   I. Velcic
                • 12:15h
                • Open session on "Inverse problems"
                   chaired by A. Mercado and J. Ortega

                • Open session on inverse Problems
                   Alberto Mercado and Jaime H.Ortega

                • 16:30h
                • Free discussions on:
                • optimal location problems
                   chaired by G. Buttazzo
                • optimal transportation problems
                   chaired by J. Salomon
                • domain decomposition problems
                   chaired by Minh Binh Tran
                • controllability for degenerate parabolic equations
                   chaired by Felipe Wallison Chaves Silva

                  Thursday, September 08
                  • 09:30h
                  • Contact Solutions for Fully Nonlinear Systems of PDEs and applications to the Infinity-Laplacian
                     N.I. Katzourakis
                  • 10:15h
                  • Some inverse problem for stochastic partial differential equations
                     Qi Lu
                  • 11:00h
                  • Control of the motion of a boat
                     L. Rosier
                  • 12:15h
                  • open session on "Control of dispersive equations"
                     chaired by O. Glass and L. Rosier

                  • Explicit approximate controllability of the Schrödinger equation with a polarizability term.
                     M. Morancey
                      On the controllability of the Korteweg-de Vries equation
                     I. Rivas

                  • 16:30h
                  • free discussion afternoon

                    This session has received financial support from the following institutions:

                    • logo CSIC
                    • Gobierno de Aragón
                    • Ministerio de educación y ciencia
                    • DPH
                    • Universidad de Zaragoza
                    • Ayuntamiento de Benasque


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