## Partial differential equations, optimal design and numerics

2011, Aug 28 -- Sep 09

*Organizers:*

G. Buttazzo (U. Pisa)

E. Zuazua (BCAM)

2011, Aug 28 -- Sep 09

*Organizers:*

G. Buttazzo (U. Pisa)

E. Zuazua (BCAM)

Opening address | |

G. Buttazzo and E. Zuazua | |

Zero pressure and viscosity limit of the 1D-Navier-Stokes-Poisson system | |

Y. Brenier | |

A system of Schrödinger equations modeling two trapped ions. Some controllability results and open problems | |

J.P. Puel | |

Wave Equations with non Lipschitz coefficients | |

F. Colombini | |

The interpretation of entropy conditions for flux limited diffusion equations | |

V. Caselles | |

Meeting to discuss the organization of open sessions | |

chaired by G. Buttazzo and E. Zuazua |

Thin domains with oscillatory boundaries | |

J. Arrieta | |

Partial regularity for general free discontinuity problems | |

D. Bucur | |

Controllability results for degenerate parabolic equations | |

P. Cannarsa | |

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 | |

Very degenerate elliptic equations: applications and regularity | |

F. Santambrogio | |

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 |

Keller-Segel fast diffusion and functional inequalities | |

J.A. Carrillo | |

Material design and life cycle optimization | |

G. Leugering | |

A thin film approximation to the Muskat problem | |

P. Laurençot | |

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 | |

Convergence of an inverse problem for discrete wave equations | |

L. Baudouin | |

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 |

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 | |

open session on 'Control of coupled systems' | |

chaired by L. De Teresa and M. Leautaud | |

Null Controllability of Coupled Parabolic Degenerate Equations | |

L. Maniar | |

Approximations for orientation-preserving displacements in nonlinear elasticity | |

A. Pratelli | |

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 |

Cubic Schroedinger equation: controllability/non-controllability results by geometric control methods | |

A. Sarychev | |

Homogenization and corrector results for the wave equation | |

J. Casado Diaz | |

Geometric control condition and systems of coupled wave equations | |

B. Dehman | |

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 | |

Dispersive properties for Schrödinger equations | |

I.L. Ignat | |

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 |

Stabilisation for the semilinear wave equation with geometric control condition | |

R. Joly and C. Laurent | |

Diffraction by random dielectric structures | |

G. Bouchitté | |

Asymptotic stability of dissipative systems with on/off damping | |

M. Sigalotti | |

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 | |

continuation of the open sessions "Shape optimization problems" and "Waves in networks" | |

Dynamics of a rigid body in a perfect incompressible fluid | |

O. Glass | |

Controllability of coupled hyperbolic and parabolic systems by a reduced number of controls | |

F. Alabau | |

One example of doing simultaneous homogenization and dimensional reduction in elasticity | |

I. Velcic | |

Open session on "Inverse problems" | |

chaired by A. Mercado and J. Ortega | |

Open session on inverse Problems | |

Alberto Mercado and Jaime H.Ortega | |

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 |

Contact Solutions for Fully Nonlinear Systems of PDEs and applications to the Infinity-Laplacian | |

N.I. Katzourakis | |

Some inverse problem for stochastic partial differential equations | |

Qi Lu | |

Control of the motion of a boat | |

L. Rosier | |

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 | |

free discussion afternoon | |