Talks for the conference.

Partial differential equations, optimal design and numerics

2011, Aug 28 -- Sep 09

Organizers:
G. Buttazzo (U. Pisa)
E. Zuazua (BCAM)

Monday, August 29

09:20h	Opening address
	G. Buttazzo and E. Zuazua
09:30h	Zero pressure and viscosity limit of the 1D-Navier-Stokes-Poisson system
	Y. Brenier
10:15h	A system of Schrödinger equations modeling two trapped ions. Some controllability results and open problems
	J.P. Puel
11:30h	Wave Equations with non Lipschitz coefficients
	F. Colombini
12:15h	The interpretation of entropy conditions for flux limited diffusion equations
	V. Caselles
18:00h	Meeting to discuss the organization of open sessions
	chaired by G. Buttazzo and E. Zuazua

Tuesday, August 30

09:30h	Thin domains with oscillatory boundaries
	J. Arrieta
10:15h	Partial regularity for general free discontinuity problems
	D. Bucur
11:00h	Controllability results for degenerate parabolic equations
	P. Cannarsa
12:15h	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
16:30h	Very degenerate elliptic equations: applications and regularity
	F. Santambrogio
17:30h	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

Wednesday, August 31

09:30h	How to estimate the velocity of a fluid flow (governed by the Navier-Stokes equations) from boundary pressure measurements?
	J.P. Raymond
10:15h	Improved Sobolev inequalities using nonlinear flows
	J. Dolbeault
11:00h	Relative entropies, suitable weak solutions, and weak-strong uniqueness for the compressible Navier-Stokes system
	E. Feireisl
12:15h	Open session on 'Numerical Methods in Control Problems'
	chaired by Sylvain Ervedoza et Markus Widhalm
	Wave propagation in discrete heterogeneous media
	A. Marica
	Stabilization for solving linear systems in context of adjoint techniques
	M. Widhalm & R.P. Dwight
	A stabilized Finite Element Method for a solid immersed in a viscous incompressible fluid
	S. Court
	From the control of Galerkin approximations to the approximate controllability of the Schridinger equation
	M. Sigalotti
16:30h	presentation of the project CONEDP in the framework of the European GDRE program
	Fatiha Alabau
16:45h	Numerical results for an optimal design problem with a non-linear cost in the gradient
	M. Luna-Laynez
17:45h	Open session on umerical 'Methods for Hyperbolic and Kinetic Models'
	chaired by Rosa Donat and Marjolaine Puel
	Adaptive mesh refinement techniques for well-balanced schemes for shallow water flows
	P. Mulet

Thursday, September 01

09:30h	Keller-Segel fast diffusion and functional inequalities
	J.A. Carrillo
10:15h	Material design and life cycle optimization
	G. Leugering
11:00h	A thin film approximation to the Muskat problem
	P. Laurençot
12:15h	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
16:30h	Convergence of an inverse problem for discrete wave equations
	L. Baudouin
17:30h	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

Friday, September 02

09:30h	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
11:30h	open session on 'Control of coupled systems'
	chaired by L. De Teresa and M. Leautaud
	Null Controllability of Coupled Parabolic Degenerate Equations
	L. Maniar
16:30h	Approximations for orientation-preserving displacements in nonlinear elasticity
	A. Pratelli
17:30h	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

Monday, September 05

09:30h	Cubic Schroedinger equation: controllability/non-controllability results by geometric control methods
	A. Sarychev
10:15h	Homogenization and corrector results for the wave equation
	J. Casado Diaz
11:00h	Geometric control condition and systems of coupled wave equations
	B. Dehman
12:15h	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
16:30h	Dispersive properties for Schrödinger equations
	I.L. Ignat
17:30h	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

Tuesday, September 06

09:30h	Stabilisation for the semilinear wave equation with geometric control condition
	R. Joly and C. Laurent
10:15h	Diffraction by random dielectric structures
	G. Bouchitté
11:00h	Asymptotic stability of dissipative systems with on/off damping
	M. Sigalotti
12:15h	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
16:30h	continuation of the open sessions "Shape optimization problems" and "Waves in networks"

Wednesday, September 07

09:30h	Dynamics of a rigid body in a perfect incompressible fluid
	O. Glass
10:15h	Controllability of coupled hyperbolic and parabolic systems by a reduced number of controls
	F. Alabau
11:00h	One example of doing simultaneous homogenization and dimensional reduction in elasticity
	I. Velcic
12:15h	Open session on "Inverse problems"
	chaired by A. Mercado and J. Ortega
	Open session on inverse Problems
	Alberto Mercado and Jaime H.Ortega
16:30h	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

Thursday, September 08

09:30h	Contact Solutions for Fully Nonlinear Systems of PDEs and applications to the Infinity-Laplacian
	N.I. Katzourakis
10:15h	Some inverse problem for stochastic partial differential equations
	Qi Lu
11:00h	Control of the motion of a boat
	L. Rosier
12:15h	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
16:30h	free discussion afternoon