Control of PDE: Theory, Numerics, and Applications

Scope of the special session

There are ten speakers in the session. All the talks will deal with current and relevant issues in the topic.

Concerning optimal control, there are five talks. Two of the talks will address the second order analysis for optimal control problems, which is an essential tool in the stability analysis, in the proof of error estimates for the numerical approximations, and in the analysis of convergence rate of the numerical optimization algorithms. The other five talks will deal with exact controllability for distributed systems, integro-differential systems, and the study of observability inequalities. Applications to vibrations of beams and strings will be given. Three talks deal with the derivation of error estimates for the numerical discretization of optimal control problems. Sparsity of the optimal controls is another topic discussed in one of the talks, which is a very important issue in the applications. Among the five talks on optimal control, two of them consider applied optimal control problems: one is concerned with the control of Navier-Stokes systems and the other deals with the control of the FitzHugh-Nagumo system.

Organisers

  • Eduardo Casas (University of Cantabria, Spain) - eduardo.casas@unican.es
  • Paola Loreti (University of Rome I, Italy)

Abstracts and schedule

Below you can download the schedule and the abstracts of all talks of this special session.

Speakers

  • Fatiha Alabau-Boussouira (University of Lorraine, France)

          Control and observation of under-actionned systems of PDE's

  • Karine Beauchard (École Polytechnique, France)

          Null controllability of degenerate parabolic equations of hypoelliptic type

  • Eduardo Casas (University of Cantabria, Spain)

          Optimal control of the 3D evolutionary Navier-Stokes equations

  • Konstantinos Chrysafinos (National Technical University, Athens, Greece)

          Error estimates for parabolic boundary control problems

  • Paola Loreti (University of Rome I, Italy)

          Observability of membranes and plates in small sets

  • Mariano Mateos (University of Oviedo, Spain)

          On Dirichlet control problems governed by elliptic equations

  • Ira Neitzel (Technical University of Munich, Germany)

          Finite element error estimates for the state in elliptic optimal control problems with inequality state constraints

  • Cristina Pignotti (University of L'Aquila, Italy)

          Exponential stability for a viscoelastic wave equation with anti-damping/time delay

  • Christopher Ryll (Technical University of Berlin, Germany)

          Second-order analysis for sparse control of FitzHugh-Nagumo equations and applications

  • Daniela Sforza (University of Rome I, Italy)

          Coupled integro-differential equations