[CvGmt News] CVGMT weekly bulletin

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Weekly bulletin of http://cvgmt.sns.it/

--- Summary ---

* Seminars by: Gobbino
* New papers by: Di Castro, Palatucci, Dipierro, Palatucci, Valdinoci, De Luca, Garroni, Ponsiglione, Barilari, Boscain, Gauthier, Gigli, Gigli, Bargellini, Dumouchel, Lazzaroni, Marigo, Solombrino, Di Castro, Palatucci, Brancolini, Chimienti, Dassisti, Granieri, Maddalena, Tamanini
* Modified papers by: Novaga, Paolini, Lu, Baldo, Jerrard, Orlandi, Soner, Ambrosio, Gigli, Savaré, Racca, Bucur, Luckhaus, Brancolini, Chimienti, Dassisti, Granieri, Maddalena

--- Seminars next week ---

* Wednesday 21 mar 2012
time: 17:00
Sala Seminari, Department of Mathematics, Pisa University

The three time-scales for the Perona-Malik equation
Massimo Gobbino (Dip. Mat. Appl. Univ. Pisa)

Abstract. The Perona-Malik equation is the prototype of forward-backward parabolic PDEs. Despite of the ill-posedness from the analytical point of view, numerical simulations seem to show much more stability than expected. In particular, evolutions of approximating schemes seem to happen in three different time scales (called fast time, standard time, and slow time), whose existence is almost independent of the approximating model.

This talk is concerned with this phenomenology, and with some possible approaches to a mathematically rigorous explanation.

(The talk is based on some joint works with M. Colombo and M. Ghisi)



--- New Papers ---

* Di Castro, Palatucci: Measure data problems, lower order terms and interpolation effects

* Dipierro, Palatucci, Valdinoci: Existence and symmetry results for a Schrödinger type problem involving the fractional Laplacian

* De Luca, Garroni, Ponsiglione: $\Gamma$-convergence analysis of systems of edge dislocations: the self energy regime

* Barilari, Boscain, Gauthier: On 2-step, corank 2 nilpotent sub-Riemannian metrics

* Gigli: On the differential structure of metric measure spaces and applications

* Gigli: On the relation between the curvature-dimension condition and the Bochner inequality

* Bargellini, Dumouchel, Lazzaroni, Marigo: On the role of kinetic energy during unstable propagation in a heterogeneous peeling test

* Solombrino: Quasistatic evolution in perfect plasticity for generalized multiphase materials.

* Di Castro, Palatucci: Nonlinear parabolic problems with lower order terms and related integral estimates

* Brancolini, Chimienti, Dassisti, Granieri, Maddalena: Variational Techniques for Assessing the Techonological Signature of Flat Surfaces

* Tamanini: Regularity results for almost minimal oriented hypersurfaces in $\mathbb R^N$

--- Modified Papers ---

* Novaga, Paolini: Regularity results for boundaries in ${\mathrm R}^2$ with prescribed anisotropic curvature

* Lu: Locally stable points under irreversibility condition

* Baldo, Jerrard, Orlandi, Soner: Convergence of Ginzburg-Landau functionals in 3-d superconductivity

* Ambrosio, Gigli, Savaré: Density of Lipschitz functions and equivalence of weak gradients in metric measure spaces

* Racca: A viscosity-driven crack evolution

* Bucur, Luckhaus: Monotonicity formula and  regularity for general free discontinuity problems

* Brancolini, Chimienti, Dassisti, Granieri, Maddalena: Variational Techniques for Assessing the Techonological Signature of Flat Surfaces