Centro de Ciencias de Benasque Pedro Pascual

Centro de Ciencias de Benasque Pedro Pascual

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VIII Partial differential equations, optimal design and numerics

2019, Aug 18 -- Aug 30

Organizers:
G. Buttazzo (U. Pisa)
O. Glass (U. Paris-Dauphine)
G.Leugering (U. Erlangen-Nürnberg)
E. Zuazua (DeustoTech - UAM - LJLL Paris)

Monday, August 19
  • 09:30-10:15
  • Dynamics and control of nonlinear reaction-diffusion models arising in Biology and Social Sciences
     ZUAZUA Enrique (DeustoTech-Bilbao and UAM-Madrid, Spain)
  • 10:15-11:00
  • Optimal transport between mutually singular measures
     BUTTAZZO Giuseppe (University of Pisa, Italy)
  • 11:30-13:30
  • Thematic session on "Open problems in control theory"
     coordinated by Pierre Lissy (U. Paris-Dauphine, France) and Morgan Morancey (U. Marseille, France)
      Open problems on a geometric condition for controllability of conservation laws
     PERROLLAZ Vincent (U. of Tours, France)
      Open problems on reachability and exact controllability for the heat equation.
     TUCSNAK Marius (U. of Bordeaux, France)
      Open problems on the two-grid method to optimize the computational cost
     ZUAZUA Enrique (DeustoTech-Bilbao and UAM-Madrid, Spain)
  • 16:30-18:30
  • Thematic session on "Theoretical results on parabolic control theory"
     coordinated by Jon Asier Bárcena Petisco (U. Sorbonne, France) and Kévin Le Balc'h (ENS Rennes, France)
      Global null-controllability of the semilinear heat equation
     LEBALC'H Kévin
      Carleman estimate and null controllability for a fourth order parabolic equation
     KASSAB François
      Superexponential stabilizability of parabolic equations via bilinear control
     URBANI Cristina
      Null-controllability of parabolic-hyperbolic systems
     KOENIG Armand
      Null controllability of a penalized Stokes problem in dimension two with one scalar control
     BARCENA-PETISCO Jon Asier

    Tuesday, August 20
    • 09:30-10:15
    • First order mean field games
       CANNARSA Piermarco (University of Rome
    • 10:15-11:00
    • Approximation and numerical methods for industrial control systems governed by partial and delay differential equations
       BURNS John (Virginia Tech, USA)
    • 11:30-13:30
    • Thematic session on "Recent Trends in nonlocal and local hyperbolic balance laws"
       coordinated by Martin Gugat (U. of Erlangen-Nürnberg) and Günter Leugering (U. of Erlangen-Nürnberg)
        The turnpike property and its use for Model Predictive Control
       Manuel Schaller
        A simple geometric condition for controllability of multi-d scalar conservation laws in the entropy framework
       Vincent Perrollaz
        Convergence of nonlocal conservation laws towards local conservation laws and nonlocal delay conservation laws
       Alex Keimer
        Recent results on multi-dimensional nonlocal balance laws
       Michele Spinola
    • 16:30-18:30
    • Thematic session on "Conservation laws, control and related topics"
       coordinated by Debora Amadori (U. of L'Aquila, Italy) and Vincent Perrollaz (U. of Tours, France)
        Initial data indentification for scalar conservation laws
       Vincent Perrollaz (Univ. Tours)
        One-side controllability of the p-system
       Olivier Glass (Univ. Paris-Dauphine)
        A semilinear hyperbolic system with space dependent and nonlinear damping (Part 1)
       Debora Amadori (U. of L'Aquila, Italy)
        A semilinear hyperbolic system with space dependent and nonlinear damping (Part 2)
       Fatima Aqel (U. of L'Aquila, Italy)

      Wednesday, August 21
      • 09:30-10:15
      • Minimal null-control time issues for parabolic systems
         BOYER Franck (Université Paul Sabatier Toulouse, France)
      • 10:15-11:00
      • Controllability properties of a magnetized microswimmer
         LISSY Pierre (Université de Paris-Dauphine, France)
      • 11:30-13:30
      • Thematic session on "Homogenization and optimal design"
         coordinated by Krešimir Burazin (U. of Osijek, Croatia)
          Methods based on shape derivative for the optimal design on annulus
         Petar Kunštek (U. of Zagreb, Croatia)
          Optimality criteria method for problems of optimal design in linearized elasticity
         Ivana Crnjac (U. of Osijek, Croatia)
          On composite elastic plate and Hashin-Shtrikman bounds
         Krešimir Burazin (U. of Osijek, Croatia)
      • 16:30-18:30
      • Thematic session on "Nonlocal PDE and control"
         coordinated by Umberto Biccari (U. of DeustoTech, Spain) and Sebastián Zamorano (U. de Santiago de Chile)
          Controllability of a 1d fractional heat equation under positivity constraints
         Umberto Biccari (U. of DeustoTech, Spain)
          On the controllability of the wave equation with a second order memory term
         Sorin Micu (U. of Craiova, Romania)
          Non local models based on hyperelasticity
         Javier Cueto García (U. of Castilla-La Mancha, Spain)
          Well-posedness and approximation schemes for nonlocal boundary-value problems
         Nicola de Nitti (U. of Bari, Italy)
          Exterior control problem of strong damped nonlocal wave equation and nonlocal heat equation
         Sebastián Zamorano (U. of Santiago de Chile)

        Thursday, August 22
        • 09:30-10:15
        • Modelling, analysis and control for water waves and floating objects
           TUCSNAK Marius (Université de Bordeaux, France)
        • 10:15-11:00
        • Decay of semilinear damped wave equations: cases without geometric control condition
           Romain Joly (Université Grenoble-Alpes)
        • 11:30-13:30
        • Thematic session on Numerics and control
           coordinated by Pierre Lissy (U. Paris-Dauphine, France) and Morgan Morancey (U. Marseille, France)
            Optimal approximation of internal controls for a wave-type problem with fractional Laplacian
           Ionel Roventa
            Spectral analysis of discrete elliptic operators and application in control theory
           Morgan Morancey
            Greedy algorithm for solving parameter dependent Lyapunov equations. Application to control problems
            Martin Lazar
            Some controllability results for time-discrete parabolic systems
           Victor Hernandez Santamaria
        • 16:30-18:30
        • Thematic session on "Optimal control and Hamilton-Jacobi-Bellman equations"
           coordinated by Teresa Scarinci (U. of Vienna, Austria) and Víctor Hernández-Santamaría (U. of Toulouse, France)
            On the regularity and the singular support of the minimum time function
           Teresa Scarinci (U. of Vienna, Austria)
            Asymptotic behavior and control of the "guidance by repulsion" model
           Dongnam Ko (DeustoTech, Spain)

          Friday, August 23
          • 09:30-10:15
          • Relaxed multi-marginal costs and quantization effects
             BOUCHITTÉ Guy (Université de Toulon, France)
          • 10:15-11:00
          • Singularities from Hamilton-Jacobi
             Wei Cheng (Nanjing University, China)
          • 11:30-13:30
          • Thematic session on Schrödinger Equation, control and other topics
             coordinated by Romain Joly (Université Grenoble-Alpes) and Alessandro Duca (Université Grenoble-Alpes)
              Quadratic behaviors of the 1D linear Schrödinger equation, with bilinear control
             Mégane Bournissou (ENS Rennes)
              Bilinear control problems on quantum graphs
             Alessandro Duca (Université Grenoble-Alpes)
              Control of quantum states by quasi-adiabatic motions
             Romain Joly (Université Grenoble-Alpes)
          • 16:30-18:30
          • Thematic session on "Perspectives on free boundary problems"
             coordinated by Nicola De Nitti (U. of Bari, Italy), Borjan Geshovski (U. Autonoma Madrid, Spain), Debayan Maity (U. Autonoma Madrid, Spain)
              Controllability of low Reynolds number swimmers of ciliated type
             Jérôme Lohéac
              Controllability of perturbed porous medium flow
             Borjan Geshkovski
              Fluid-Structure models arising in blood-flow models
             Debayan Maity
              Singularly Perturbed Elliptic Systems with Asymptotic Phase Segregation
             Farid Bozorgnia
              Sharp criteria for the waiting time phenomenon in solutions to the thin film equation
             Nicola De Nitti

            Monday, August 26
            • 09:30-10:15
            • Measure of the compactifying effect for conservation laws
               GLASS Olivier (Université de Paris-Dauphine, France)
            • 10:15-11:00
            • Boundary controllability and stabilizability for networks of nonlinear strings, springs and masses with non-local couplings
               LEUGERING Günter ((University of Erlangen-Nürnberg, Germany)
            • 11:30-13:30
            • Thematic session on "Spectral optimization problems"
               coordinated by Maria del Mar Gonzalez (U. Autonoma of Madrid, Spain) and Farid Bozorgnia (Instituto Superior Técnico of Lisbon, Portugal)
                Relations between torsional rigidity and principal eigenvalue
               Giuseppe Buttazzo (U. of Pisa, Italy)
                On the Steklov eigenvalue and higher order generalizations
               Maria del Mar Gonzalez (U. Autonoma of Madrid, Spain)
                Eigenvalues of p-Laplace and Infinity Laplace operator
               Farid Bozorgnia (Instituto Superior Técnico of Lisbon, Portugal)
            • 16:30-18:30
            • Thematic session "Young researchers"
               coordinated by Hugo Parada (Universidad Técnica Federico Santa María, Chile) and Claudia Moreno (Universidad Técnica Federico Santa María, Chile)
                Feedback stabilization with delay boundary control of some parabolic-elliptic system
               Hugo Parada (Universidad Técnica Federico Santa María, Chile)
                Controllability of the Korteweg-de Vries equation on a Star-Shaped Network
               Claudia Moreno (Universidad Técnica Federico Santa María, Chile)
                An optimal control problem governed by heat equation with nonconvex constraints applied to selective laser melting process
               Tonia-Maria Alam (Université Polytechnique Hauts-de-France, France)
                Regularity of a minimizers in 2d of the optimal p-compliance problem with length penalization
               Bohdan Bulanyi (University Paris Diderot, France)
                A finite element method for elliptic distributed optimal control problem with pointwise control and state constraints
               Kamana Porwal (Indian Institute of Technology, Delhi, India)

              Tuesday, August 27
              • 09:30-10:15
              • The behavior of an elastic body subjected to a strong oscillating magnetic field
                 CASADO DÍAZ Juan (Universidad de Sevilla, Spain)
              • 10:15-11:00
              • Singularities in nonlocal transport and coagulation-fragmentation equations
                 FONTELOS Marco (Instituto de Ciencias Matemáticas, Spain)
              • 11:30-13:30
              • Thematic session on "Turnpike and parameter dependent control"
                 coordinated by Dario Pighin (U. Autónoma of Madrid, Spain), Victor Hernandez Santamaria (U. of Toulouse, France)
                  The Turnpike Phenomenon for Problems of Optimal Boundary Control
                 Martin Gugat (U. of Erlangen-Nürnberg)
                  Turnpike theory and applications
                 Dario Pighin (U. Autónoma de Madrid)
                  The role of state constraints in turnpike phenomena for LQ problems
                 Roberto Guglielmi (Gran Sasso Science Institute)
                  Turnpike property for the two and three dimensional Navier-Stokes equations
                 Sebastián Zamorano (U. of Santiago de Chile)
                  Averaged controllability of finitely many strings equations
                 Jérome Loheac (Centre de Recherche en Automatique de Nancy)
              • 16:30-18:30
              • Thematic session on optimal control, Hamilton-Jacobi and related problems
                 coordinated by Faustino Maestre (Universidad de Sevilla, Spain)
                  On optimal potential problems for bounded and unbounded domains
                 Faustino Maestre (Sevilla, Spain)
                  Control of incomplete data problems. Application to an ecology problem
                 Abdennebi Omrane (University of French Guiana)

                Wednesday, August 28
                • 09:30-10:15
                • Optimal shapes for the 2d Neumann-Kelvin problem
                   Morgan Pierre (Université de Poitiers, France)
                • 10:15-11:00
                • Implicit-explicit Runge Kutta schemes for convection-degenerate diffusion PDE
                   Pep Mulet (University of Valencia, Spain)
                • 11:30-13:30
                • Thematic session on Control and stabilization of hyperbolic Systems
                   coordinated by Martin Gugat (Friedrich-Alexander-Universität Erlangen-Nürnberg) and Günter Leugering (Friedrich-Alexander-Universität Erlangen-Nürnberg)
                    On the non-stabilizability for networks of strings
                   Martin Gugat (Friedrich-Alexander-Universität Erlangen-Nürnberg, Germany)
                    Nodal profile exact controllability for the Saint Venant system on networks with cycles
                   Günter Leugering (Friedrich-Alexander-Universität Erlangen-Nürnberg, Germany)
                    H1-exponential stabilization for the intrinsic geometrically exact beam
                    Charlotte Rodriguez (Friedrich-Alexander-Universität Erlangen-Nürnberg, Germany)
                    Inverse design of one-dimensional Burgers equation
                   Thibault Liard (DeustoTech University of Deusto)
                • 16:30-18:30
                • Thematic session on Control of PDEs
                   coordinated by Pierre Lissy (U. Paris-Dauphine, France) and Armand Koenig (U. Nice, France)
                    Null controllability for Parabolic equations with Dynamic boundary conditions
                   Lahcen Maniar (Cadi Ayyad University, Morocco)
                    Approximation of the controls for the 2-D wave equation
                   Laurentiu Temereanca (University of Craiova, Romania)
                    Local exact control of non-isentropic Navier-Stokes equations
                   Nicolas Molina (Univ. Paris-Dauphine, France)
                    Thermoelasticity: from exponentiel to polynomial decay
                   Salem Nafiri (EHTP, Casablanca, Morocco)

                  Thursday, August 29
                  • 09:30-10:15
                  • Controllability of systems of fourth order parabolic PDEs
                     Alberto Mercado (UTFSM, Chile / Institut de Mathématiques de Toulouse, France)
                  • 10:15-11:00
                  • Control issues and linear constraints on the control and the controlled trajectory.
                     Sylvain Ervedoza (Institut de Mathématiques de Toulouse and CNRS, France)
                  • 11:30-13:30
                  • Thematic session "Young researchers"
                     coordinated by Umberto Biccari (University of Deusto) and Sebastián Zamorano (Universidad de Santiago de Chile)
                      Games for the evolution problem associated to the eigenvalues of the Hessian
                     Carlos Esteve (Sorbonne Université, France)
                      The role of the dimension in the control on some networked multiagent systems
                     Domènec Ruiz I Balet (Universidad Autónoma de Madrid)
                      Long-time behavior of a model of rigid structure floating in a viscous fluid
                     Gastón Vergara (Université de Bordeaux, France)

                    This session has received financial support from the following institutions:

                    • Ministerio de ciencia, innovación y universidades
                    • Gobierno de Aragón
                    • logo CSIC
                    • DPH
                    • Universidad de Zaragoza
                    • Ayuntamiento de Benasque

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