Partial differential equations, optimal design and numerics
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 | |