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

2015, Aug 23 -- Sep 04

Organizers:
G. Buttazzo (U. Pisa)
O. Glass (Université Paris-Dauphine)
G.Leugering (U. Erlangen)
E. Zuazua (BCAM - Ikerbasque)

Monday, August 24
  • 09:30h
  • The obstacle problem for the total variation flow
     DUZAAR, Frank (University of Erlangen-Nürnberg, Germany)
  • 10:20h
  • Minimisation of the ground state of the mixture of two materials in small contrast regime
     CONCA, Carlos (Universidad de Chile, Chile)
  • 11:40h
  • Mean-field sparse optimal control
     FORNASIER, Massimo (Technical University of Munich, Germany)
  • 16:30h
  • Thematic session on 'Discretization error analysis of optimal control problems with PDEs'
     organized by Thomas Apel (Universität der Bundeswehr München, Germany), Winnifried Wollner (Universität Hamburg, Germany)

  • Discretization error analysis of optimal control problems with PDEs
     Winnifried Wollner
      Graded meshes in optimal control of elliptic partial differential equations
     Sergejs Rogovs
      Discretization of optimal control problems with partial differential equations
     Thomas Apel

    Tuesday, August 25
    • 09:30h
    • Resolvent estimates for high-contrast elliptic problems with periodic coefficients
       CHEREDNICHENKO, Kirill (University of Bath, UK)
    • 10:20h
    • On the asymptotic stabilization of a generalized hyperelastic-rod wave equation
       ANCONA, Fabio (University of Padova, Italy)
    • 11:40h
    • Design of meshes adapted to the observation and control of discrete waves
       ERVEDOZA, Sylvain (Université de Toulouse and CNRS, France)
    • 16:30h
    • Thematic session on 'Shape optimization problems'
       organized by Rajesh Mahadevan (Universidad de Concepción, Chile), Ilaria Lucardesi (SISSA Trieste, Italy)

    • Low congested networks and regions and optimal reinforcement for a membrane
       Serena Guarino Lo Bianco
        Shape derivatives for minima of integral functionals
       Ilaria Lucardesi
        On the minimization of total mean curvature
       J. Dalphin

      Wednesday, August 26
      • 09:30h
      • Stabilization of a system of dispersive equations modelling the propagation of water waves
         MICU, Sorin (University of Craiova, Romania)
      • 10:20h
      • A determination of optimal ship forms based on Michell's wave resistance
         PIERRE, Morgan (Université de Poitiers, France)
      • 11:40h
      • The obstacle problem for the porous medium equation
         BÖGELEIN, Verena (University of Salzburg, Austria)
      • 16:30h
      • Thematic session on 'Fluid mechanics'
         organized by Olivier Glass (Université Paris-Dauphine, France)

      • On the cost of null controllability of a linear KdV equation
         Nicolás Carreño
          Control of 3D micro-swimmers
         J. Lohéac
          Mathematical problems in inkjet printing technology
         Marco A. Fontelos
          Compressible fluid and its interaction with a structure
         M. Boulakia

        Thursday, August 27
        • 09:30h
        • Toward a constructive approach of Lagrangian controllability
           HORSIN, Thierry (Conservatoire National des Arts et Métiers, France)
        • 10:20h
        • Null Controllability for Parabolic Equations with Dynamic Boundary Conditions
           MANIAR, Lahcen (Univ. Marrakesch, Morocco)
        • 11:40h
        • One-Shot Optimization with Steady and Unsteady PDEs
           GAUGER, Nicolas R. (University of Kaiserslautern, Germany)
        • 16:30h
        • Thematic session on 'On the finite-time stabilization of strings connected by point mass and the SMB chromatography'
           organized by Ghada Ben Belgacem (Ecole Polytechnique de Bizerte, Tunisia), Chaker Jammazi (Ecole Polytechnique de Bizerte, Tunisia), Vincent Perrollaz (Université de Tours, France)

        • An abstract on finite-time stabilizability of controllable dynamical systems
           C. Jammazi
            Finite-time stabilization of strings connected by point mass and the SMB chromatography
           Ghada Ben Belgacem and Chaker Jammazi
            Finite time stabilization : some particular examples
           Vincent Perrollaz

          Friday, August 28
          • 09:30h
          • A duality scheme for a class of non convex problems in the calculus of variations
             BOUCHITTÉ, Guy (Université de Toulon, France)
          • 10:20h
          • A controllability problem for a non convex conservation law
             MARSON, Andrea (University of Padova, Italy)
          • 11:50h
          • Young's law for nonlocal fractional perimeters
             GELLI, Maria Stella (University of Pisa, Italy)
          • 16:00h
          • Young researchers presentations
             organized by Pierre Lissy (University of Paris-Dauphine, France) and Morgan Morancey (University of Aix-Marseille, France). 20 mins talks (including questions). Speakers: Pluda, Keimer, Liard, Bilgin

          • Evolution of spoon-shaped networks
             Alessandra Pluda
              Nonlocal Conservation/Balance Laws
             Alexander Keimer
              Study of an extremal problem for eigenvectors of some Sturm-Liouville problems
             Thibault Liard
              Semilinear structurally damped wave equations: supercritical case
             Bilgesu A. Bilgin

          • 17:50h
          • Young researchers presentations
             organized by Pierre Lissy (University of Paris-Dauphine, France) and Morgan Morancey (University of Aix-Marseille, France). 20 mins talks (including questions). Speakers: Moyano, Cooper, Lopez.

          • On the gaps in spectrum of the periodic Maxwell Operator: applications to Photonic Crystal Fibre design
             Shane Cooper
              Null controllability of the Kolmogorov equation in the whole space
             Iván Moyano
              Bottom detection and optimal control problem on water waves
             Juan Carlos López Ríos

            Monday, August 31
            • 09:30h
            • Young researchers presentations II
               organized by Pierre Lissy (University of Paris-Dauphine, France) and Morgan Morancey (University of Aix-Marseille, France). 20 mins talks (including questions). Speakers: Ghilli, Cortés, Chaves, Zamorano, Cazacu.

            • On Neumann problems for nonlocal equations related to jump processes
               Daria Ghilli
                Homogeneous Boltzmann equation for bosons particles. Isotropic solutions
               Enrique Cortés
                Controllability for a pseudoparabolic equation
               F.W. Chaves-Silva
                Size Estimates for the Inverse Stokes Problem
               S. Zamorano Aliaga
                Asymptotic behavior for the heat equation with magnetic field and Hardy potential
               Cristian-Mihai, CAZACU

            • 11:40h
            • Young researchers presentations II
               organized by Pierre Lissy (University of Paris-Dauphine, France) and Morgan Morancey (University of Aix-Marseille, France). 20 mins talks (including questions). Speakers: Mazanti, Montaner, Ravi

            • Observation from measurable sets for analytic parabolic equations
               Santiago Montaner
                Asymptotic Analysis of Periodic Optimal Control Problem
               Ravi Prakash
                Stability of difference equations and applications to wave propagation on networks
               Guilherme Mazanti

            • 16:30h
            • Thematic session on 'Evolutionary obstacle problems'
               organized by Jens Habermann (University of Erlangen, Germany), Teemu Lukkari (University of Jyväskylä, Finland), Christoph Scheven (University of Duisburg-Essen, Germany), Thomas Schmidt (University of Erlangen, Germany)

            • Parabolic quasiminimizers
               Jens Habermann
                Potential theory of the porous medium equation, obstacle problems, and all that
               Teemu Lukkari
                Localizable solutions to nonlinear evolution problems with irregular obstacles: Existence and regularity
               Christoph Scheven
                The Obstacle Problem for the Total Variation
               Thomas Schmidt


              Tuesday, September 01
              • 09:30h
              • Optimal control of the Schroedinger equation
                 KROENER, Axel (Inria-Saclay and Ecole Polytechnique, France)
              • 10:20h
              • Indirect controllability of some linear parabolic systems of two equations with one controls involving coupling terms of first order
                 DUPREZ, Michel (Université de Franche-Comté, France)
              • 11:40h
              • Exponential decay of the solutions of Klein-Gordon equation in unbounded domains
                 JOLY, Romain (Université de Grenoble, France)
              • 16:30h
              • Young researchers presentations III
                 organized by Pierre Lissy (University of Paris-Dauphine, France) and Morgan Morancey (University of Aix-Marseille, France). 20 mins talks (including questions). Speakers: Ernesti, Sturm, Ibañez, Phan, Al Baba, Biccari

              • Existence of weak solutions of doubly nonlinear parabolic equations
                 Stefan Sturm
                  Driving a mobile agent in a guidance by repulsion model
                 Aitziber Ibañez Guerenabarrena
                  A duality principle for non convex variational problems, Numerical examples
                 PHAN Tran Duc Minh
                  Semi-group theory for the Stokes and Navier-Stokes equations with Navier-type boundary conditions in L p -spaces
                 Hind Al Baba
                  Boundary controllability for a one-dimensional heat equation with two singular inverse-square potentials
                 Umberto Biccari
                  A nonconforming substructuring method for first-order systems in space-time
                 Johannes Ernesti


                Wednesday, September 02
                • 09:30h
                • Obstacle problems for the p-Laplacian via Tug-of-War games
                   MANFREDI, Juan (University of Pittsburgh, USA)
                • 10:20h
                • Smoothness results for the minimization of the first eigenvalue of a two-phase material and applications to non existence
                   CASADO DIAZ, Juan (University of Sevilla, Spain)
                • 11:10h
                • Coffee break
                   
                • 11:40h
                • Greedy Control
                   Martin Lazar (Univ. Dubrovnik)
                • 16:30h
                • Thematic session on 'Shape optimization problems II'
                   organized by

                • Explicit solutions in optimal design problems for stationary diffusion equation
                   Kresimir Burazin

                  Thursday, September 03
                  • 09:30h
                  • Open discussion on open problems and perspectives
                     
                  • 12:00h
                  • Closing & Path towards 2017
                     

                    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