[CvGmt News] CVGMT: weekly bulletin

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Subject: CVGMT weekly bulletin

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

--- Summary ---

* Seminars by: Stepanov
* New papers by: Davoli, Dipierro, Pinamonti
* Modified papers by: Gigli, Ambrosio, Mondino, Mantegazza, Novaga, Braides, Piatnitski, Mora, Okabe, Colombo, Stepanov, M?ller, Paolini, Spadaro, Cicalese, Davoli, Friesecke, Figalli, Giannoulis, Paul

--- Seminars next week ---

* Wednesday 12 dec 2012
time: 17:00
Sala Seminari, Department of Mathematics, Pisa University

Vector fields, currents and rectifiable curves in metric spaces
Eugene Stepanov (St. Petersburg State University)

Abstract. There are two ways to view (smooth) vector fields over smooth manifolds, namely

(1) as derivations over an algebra of smooth functions,
(2) as ``vectors attached to points'', i.e. directions of curves.

Both notions are in fact equivalent, and while (1) is more abstract, it is easily extended to arbitrary metric spaces (with smooth functions substituted by Lipschitz ones), thus leading to the identification ``vector fields = one-dimensional currents''. It will be shown that even in such a generality vector fields corresponding to normal currents have an underlying structure, provided by rectifiable curves (i.e. they can be viewed, in a sense, like (2)). Several consequences of this fact will be discussed.

--- New Papers ---

* Davoli: Linearized plastic plate models as $\Gamma$-limits of 3D finite elastoplasticity

* Davoli: Quasistatic evolution models for thin plates arising as low energy $\Gamma$-limits of finite plasticity

* Dipierro, Pinamonti: Symmetry results for stable and monotone solutions to fibered systems of PDEs

--- Modified Papers ---

* Davoli: Thin-walled beams with a cross-section of arbitrary geometry: derivation of linear theories starting from 3D nonlinear elasticity 

* Ambrosio, Figalli, Friesecke, Giannoulis, Paul: Semiclassical limit of quantum dynamics with rough potentials and well posedness of transport equations with measure initial data

* Paolini, Stepanov: Existence and regularity results for the Steiner problem

* Cicalese, Spadaro: Droplet Minimizers of an Isoperimetric Problem with long-range interactions

* Ambrosio, Figalli: Almost everywhere well-posedness of continuity equations with measure initial data

* Davoli, Mora: A quasistatic evolution model for perfectly plastic plates derived by Gamma-convergence

* Mantegazza, M?ller: Perelman's Entropy Functional at Type I Singularities of the Ricci Flow

* Gigli, Mondino: A PDE approach to nonlinear potential theory in metric measure spaces

* Colombo, Figalli: Regularity results for very degenerate elliptic equations

* Braides, Piatnitski: Variational problems with percolation: dilute spin systems at zero temperature

* Novaga, Okabe: Curve shortening-straightening flow for non-closed planar curves with infinite length

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