CENTRO DE CIENCIAS DE BENASQUE
"PEDRO PASCUAL"

Partial differential equations, optimal design and numerics

2007, August 26-September 7

Monday, August 27

09:30h	Welcome address by the scientific organizers

09:45h	Global controllability for Burgers equation
	J. P. Puel
10:30h	Strictly hyperbolicoperators with non-regular coefficients
	F. Colombini
11:15h	break

11:45h	discussion on the organization of open sessions

13:30h	lunch break

16:00h	A review of an optimal design problem for a plate of variable thickness
	P. Pedregal
16:45h	break

17:15h	open session on ¨Shape Optimization Problems¨ Part 1
	G. Buttazzo
	open session on ¨Shape Optimization Problems¨ Part 2
	G. Buttazzo

Tuesday, August 28

09:30h	The construction of asymptotic theories by Gamma-convergence
	A. Braides
10:15h	Compactness of the difference between two thermoelastic systems
	L. Maniar
10:45h	On quasimodes in vibrations of strongly heterogeneous media
	M. E. Perez
11:15h	break

11:45h	open session on ¨Image processing¨
	V. Caselles
13:15h	lunch break

16:00h	The Keller-Segel model: entropy, geometric inequalities and mass transport
	J. A. Carrillo
16:45h	break

17:15h	open session on ¨PDEs and optimal transportation¨
	M. Puel

Wednesday, August 29

09:30h	Scattering for the Kadomtsev-Petviashvili II equation
	H. Koch
10:15h	Discontinuous Galerkin approximations of advection-diffusion-reaction problems
	B. Ayuso
10:45h	Numerical approximation of optimal control problems for conservation laws
	C. Castro
11:15h	break

11:45h	open session on "Carleman inequalities and PDEs with rough coefficients"
	S. Guerrero-L. De Teresa
13:15h	lunch break

16:00h	Modelling of crowd motion: theoretical and numerical issues
	B. Maury
	'Simulations Numériques' http://www.math.u-psud.fr/~venel/
	B. Maury
16:45h	break

17:15h	open session on "From discrete to continuous"
	A. Braides

Thursday, August 30

09:30h	Dimension reduction analysis for the optimal elastic compliance problem
	G. Bouchitte
10:15h	The perfectly matched layers: energy decays for continuous and semi-discrete waves
	S. Ervedoza
10:45h	Optimal shape design in aeronautics (a practical point of view)
	F. Palacios-M. Widhalm
11:15h	break

11:45h	open session on "Control problems in fluid dynamics"
	C. Castro-A. Baeza
13:15h	lunch break

16:00h	Edge detection and level sets
	V. Caselles
16:45h	break

17:15h	open session on "Fluid structure interaction" Part 1
	T. Takahashi-M. Boulakia
	open session on "Fluid structure interaction" Part 2
	T. Takahashi-M. Boulakia

Friday, August 31

09:30h	Numerical issues around multi-class traffic flow problems
	R. Donat
10:15h	Modelization of a flute: the influence of lateral open holes in the thin domain limit
	R. Joly
10:45h	Quantitative stability estimates for classical geometric and functional inequalities
	A. Pratelli
11:15h	break

11:45h	open session on "Hyperbolic PDEs, numerics and related issues" (Baeza)
	R. Donat
	open session on "Hyperbolic PDEs, numerics and related issues" (Carrillo)
	R. Donat
	open session on "Hyperbolic PDEs, numerics and related issues" (Martinez)
	R. Donat
	open session on "Hyperbolic PDEs, numerics and related issues" (Micu)
	R. Donat
13:15h	lunch break

16:00h	The effect of rough boundaries for (some) PDEs
	D. Bucur
16:45h	break

17:15h	open session on "Topology optimization"
	G. Leugering

Saturday, September 01

10:00h	2-D incompressible flow in porous media
	R. Orive
10:30h	Discrete gradient flows for a shape optimization problem
	M. Verani
11:00h	break

11:30h	open session on "Optimal transportation" Part 1
	A. Pratelli-F.Santambrogio
	open session on "Optimal transportation" Part 2
	A. Pratelli-F.Santambrogio

Monday, September 03

09:30h	Equations with nonlinear boundary conditions in domains with rapidly varying boundaries
	J. Arrieta
10:15h	Hyperbolic systems and the Shizuta-Kawashima condition
	K. Beauchard
10:45h	Non-Hermitian operators in quantum theory and PT-symmetry
	D. Krejcirik
11:15h	break

11:45h	open session on "Inverse problems"
	O. Kavian
13:15h	lunch break

16:00h	Total variation minimization and Cheeger sets
	G. Carlier
16:45h	break

17:15h	open session on "Spectral geometry"
	D. Krejcirik

Tuesday, September 04

09:30h	Blowup of sign-changing solutions of a nonlinear heat equation
	F. Dickstein
10:15h	Dimension reduction and spectral problems I
	L. Mascarenhas
10:45h	Dimension reduction and spectral problems II
	L. Trabucho
11:15h	break

11:45h	open session on "Mean curvature flow and Cheeger sets"
	G. Carlier
13:15h	lunch break

16:00h	Logarithmic convexity, Schrödinger evolutions and Hardy's theorem
	L. Escauriaza
16:45h	break

17:15h	open session on "Homogenization problems"
	L. Mascarenhas-L. Trabucho

Wednesday, September 05

09:30h	Structural optimization and control on networks: flow problems and elasticity
	G. Leugering
10:15h	Asymptotic analysis of an optimal control problem on thin structures
	P. Kogut
10:45h	From microscopic topological asymptotic to macroscopic constitutive behaviour
	A. Novotny
11:15h	break

11:45h	Entaglement entropy and simulation in Quantum Mechanics
	J. I. Latorre
13:15h	lunch break

16:00h	Singular solutions for kinetic equations. Two examples
	M. Escobedo
16:45h	break

17:15h	open session on "Ph D projects / open problems"
	G. Leugering

Thursday, September 06

09:30h	EchoScan: some results on elastography and electiral impedence tomography
	Otared Kavian
10:15h	Optimal perfectly matched layers
	A. Prieto Aneiros
10:45h	Maxwell`s equations and elastic waves with a pressure term: simultaneous controllability
	G. Perla Menzala
11:15h	break

11:45h	open session on "Optimization and control of hyperbolic systems"
	K. Beauchard-O. Glass-M. Gugat
13:15h	lunch break

16:00h	Free discussions afternoon

Friday, September 07

00:00h	Cheeger sets and properties of solutions of the total variation image denoising problem. Part 1

	Cheeger sets and properties of solutions of the total variation image denoising problem. Part 2

	Cheeger sets and properties of solutions of the total variation image denoising problem. Part 3

	Cheeger sets and properties of solutions of the total variation image denoising problem. Part 4