Partial Differential Equations, Optimal Design and Numerics

2005, August 28-September 9

Monday, August 29 11:00h Opening address   Casa de Cultura 11:15h Transport equations and Cauchy problem for non-smooth vector fields and applications   L. Ambrosio 12:30h Some problems in control and stabilization of fluid flows   J.-P. Raymond 13:00h The topological gradient and its applications   M. Masmoudi 16:30h Asymptotic behavior of nonautonomous reaction diffusion equations   A. Rodríguez-Bernal 17:00h Presentation of participants and topics of interest   G. Buttazzo, E. Zuazua Tuesday, August 30 09:30h Image restoration and mathematical aspects of total variation based u+v decomposition   V. Caselles 11:00h PDEs with highly variable coefficients: modelling, asymptotics and computation   A. Nachbin 11:30h Controllability of 1-d isentropic Euler equation   O. Glass 12:00h Working session: Image processing and restoration   R. Acar, V. Caselles,... 16:30h On the motion of a rigid body in a perfect fluid   L. Rosier 17:00h Working session: Asymptotics for fluid and other evolution models   P. Freitas, A. Nachbin, A. Rodríguez-Bernal,... Wednesday, August 31 09:30h Bloch waves and homogenization problems.   M. Vanninathan 11:00h The crack inverse problem   D. Bucur 11:30h Finite element approximation of wild optimal shapes   D. Chenais 12:00h Working session: Shape optimization for spectral problems   D. Bucur, G. Buttazzo, P. Freitas 16:30h Optimal internal stabilisation of a wave equation by a level set method   A. Münch 17:00h Working session: Numerical methods for PDE   B. Ayuso, R. Donat, A. Nachbin, C. Parés, E. Zuazua Thursday, September 01 09:30h Optimization problems in mass transportation theory   G. Buttazzo 11:00h Unique continuation for parabolic systems   O. Kavian 11:30h On a quasielectrostatic piezoelectric model: Stabilization, boundary observation and simultaneous controllability   G. Perla-Menzala 12:00h Open math discussion on shape optimization for structures   G. Buttazzo, D. Chenais, M. Masmoudi 16:30h Numerical methods for nonconservative hyperbolic systems   C. Parés 17:00h Working session: Schrödinger equations   K. Beauchard,... Friday, September 02 09:30h Carleman inequalities: applications and open problems   J.P. Puel 11:00h Optimal control of PDE's on networked domains: controllability, domain decomposition and homogenization   G. Leugering 11:30h Neumann boundary conditions for the $\infty$-Laplacian and the Monge-Kantorovich mass transfer   J. Rossi 12:00h Working session: Optimal transport and Monge-Kantorovich equation   L. Ambrosio, G. Buttazzo,... 16:30h Numerical methods for the control of the wave equation   C. Castro 17:00h Working session: Numerical methods for control problems   C. Castro, E. Zuazua Saturday, September 03 09:30h Dissipative structure of hyperbolic systems   S. Kawashima 11:00h Some Optimal Design problems related to river fishways   L. Alvarez-Vázquez, A. Martínez, M. Vázquez, M. Vilar 11:30h Some flows in shape optimization   O. Ley 12:00h Working session: Front propagation and gradient flows   L. Ambrosio, O. Ley Sunday, September 04 Monday, September 05 09:30h A Brinkman penalization technique for a fluid flow with obstacles   R. Donat 11:00h Existence and description of attractors for parabolic systems   P. Freitas 11:30h Relaxed state laws in 2-d through set-valued maps   P. Pedregal 12:00h Working session: Fluid-Structure interaction   M. Boulakia, J. Ortega, J. P. Puel, L. Rosier, T. Takahashi, A. Orriols, 16:30h Twisting vs bending in quantum wave guides   D. Krejcirik 17:00h Working session: Unique continuation and control for parabolic problems   S. Guerrero, O. Kavian, J. P. Puel, A. Omrane Tuesday, September 06 09:30h Local minimizers for boundary reactions: renormalized energy and applications   X. Cabre 11:00h Blow up in finite time vs. globally defined solutions in reaction-diffusion equations   J. M. Arrieta 11:30h Spectral Stiff Problems   M. E. Perez 12:00h Working session: Homogenization and networks   G. Leugering, M. Vanninathan Wednesday, September 07 09:30h Variational Moldels in Fracture Mechanics   G. Dal Maso 11:00h On a viscoelastic spring-mass model   J. Sola Morales 11:30h Navier Stokes Channel Flow: Closed-Form Gains for Control and Observer Design   M. Krstic 12:00h Presentation of ICM06, Madrid, August 2006   P. Pedregal 12:10h Working session: Variational problems with discontinuities and applications   G. Dal Maso 16:30h Controllability of 1-d Schrödinger equations   K. Beauchard 17:00h Working session: Reaction-diffusion equations and travelling waves solutions   J.M. Arrieta, X. Cabré, J. Sola-Morales Thursday, September 08 09:30h Some open problems   E. Zuazua 11:00h Topological sensitivity analysis: theory and APPLICATIONS   A. Novotny 11:30h A geometric inverse problem for fluids   J. Ortega 12:00h Working session: Informal discussion on open problems and perspectives of future research   16:30h Open problem session   Open problems will be presented and discussed by all participants willing to do it