[CvGmt News] CVGMT: weekly bulletin

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Subject: CVGMT weekly bulletin

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

--- Summary ---

* Seminars by: Okabe
* New papers by: Daniilidis, Yezzi, Durand Cartagena, Dipierro, Rizzi, David, Pinamonti, Lorent, Orlandi, Mennucci, De Philippis, Novaga, Lemenant, Figalli, Soatto, Barilari, Jerrard, Sundaramoorthi
* Modified papers by: Ambrosio, Milakis, Sundaramoorthi, Yezzi, Durand Cartagena, Sapiro, Freddi, Rajala, Shanmugalingam, Ghiraldin, Alicandro, De Philippis, De Cicco, Scienza, Stepanov, Pallara, Lu, Ansini, Mondino, Buttazzo, Della Longa, Crasta, Da Prato, Paroni, Schygulla , Martinazzi, Babadjian, Mucci, Figalli, Modica, Barilari, Savar?, Giacomini, Ponsiglione, Londero, Mariano, Soatto, Velichkov, Francfort, Goldys, Crippa, Friesecke, Paul, Giannoulis, Giaquinta, Acerbi, Musesti, Gigli, Colombo, Magnani, Mennucci, Jaramillo, Kirchheim, Korte, Paolini, Lemenant, Schmidt, Bardelli

--- Seminars next week ---

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

Existence and convergence of solutions to the shortening-straightening flow for non-closed planar curves with infinite length
Shinya Okabe 

Abstract. We consider a steepest descent flow for the modified total squared curvature
defined on curves. We call the flow the shortening-straightening flow. First it
has been proved by A. Polden (1996) that the flow admits smooth solutions
globally defined in time, when the initial curve is smooth, closed, and has finite
length. 
In 2002, G. Dziuk, E. Kuwert, and R. Sch?tzle extended Polden's result to
closed curves with finite length in n-dimensional Euclidean space.
We are interested in the following problem: ``What is a dynamics of non-closed
planar curves with infinite length governed by shortening-straightening flow?"
In this talk, we will talk about a long time existence of a solution of the
shortening-straightening flow starting from a non-closed planar curve with infinite
length.
Moreover we show that the solution converges to a stationary solution as time goes to
infinity. This work is a joint research with M. Novaga (Padova Univ.).

--- New Papers ---

* Barilari, Rizzi: A formula for Popp's volume in sub-Riemannian geometry

* De Philippis, Figalli: Sobolev regularity for Monge-Amp?re type equations

* Dipierro, Pinamonti: A geometric inequality and a symmetry result for elliptic systems involving the fractional Laplacian

* Lorent: A generalized Stylov decomposition for pairs of mappings of integrable dilatation

* Jerrard, Novaga, Orlandi: On the regularity of timelike extremal surfaces

* Daniilidis, David, Durand Cartagena, Lemenant: Rectifiability of Self-contracted curves in the euclidean space and applications

* Mennucci:  Regularity and Variationality of Solutions to Hamilton-Jacobi Equations. Part II: Variationality, Existence, Uniqueness.

* Mennucci, Soatto, Sundaramoorthi, Yezzi: Tracking deforming objects by filtering and prediction in the space of curves.

--- Modified Papers ---

* Francfort, Giacomini, Musesti: On the Fleck and Willis homogenization procedure in strain gradient plasticity

* Mariano, Modica: Ground states in complex bodies

* Ambrosio, Gigli, Savar?: Metric measure spaces with Riemannian Ricci curvature bounded from below

* Mennucci, Sapiro, Sundaramoorthi, Yezzi: New possibilities with Sobolev Active Contours

* Giaquinta, Mariano, Modica, Mucci: Stratified energies: Ground States with Cracks

* Giacomini, Musesti: Two-scale homogenization for a model in strain gradient  plasticity

* Mennucci, Soatto, Sundaramoorthi, Yezzi: A New Geometric Metric in the Space of Curves, and Applications to Tracking Deforming Objects by Prediction and Filtering

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

* Magnani: An area formula in metric spaces

* Babadjian, Giacomini: Existence of strong solutions for quasi-static evolution in brittle fracture

* Magnani, Scienza: Characterizations of differentiability for h-convex functions in stratified groups

* Giaquinta, Mariano, Modica: A variational problem in the mechanics of complex materials

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

* Lemenant, Milakis: A stability result for nonlinear Neumann problems in Reifenberg flat domains in $\mathbb R^N$.

* Ambrosio, Figalli: Surface measures and convergence of the Ornstein-Uhlenbeck semigroup in Wiener spaces

* Ambrosio, De Philippis, Martinazzi: Gamma-convergence of nonlocal perimeter functionals

* Mennucci, Sundaramoorthi, Yezzi: Coarse-to-fine segmentation and tracking using Sobolev Active Contours

* Acerbi, Crippa, Mucci: A variational problem for couples of functions and multifunctions with interaction between leaves

* Paolini, Stepanov: Decomposition of acyclic normal currents in a metric space

* Ambrosio, De Philippis, Kirchheim: Regularity of optimal transport maps and partial differential inclusions

* Rajala: Local Poincar? inequalities from stable curvature conditions on metric spaces

* Ambrosio, Paolini: Partial regularity for quasi minimizers of perimeter

* Francfort, Giacomini: Small Strain Heterogeneous Elasto-Plasticity Revisited

* Ambrosio: An overview on calculus and heat flow in metric measure spaces and spaces with Riemannian curvature bounded from below

* Mennucci, Sundaramoorthi, Yezzi: Properties of Sobolev--type metrics in the space of curves

* Korte, Magnani: Measure of curves in graded groups

* Lu: Branching time estimates in quasi-static evolution for the average distance functional

* Ambrosio, Gigli, Savar?: Calculus and heat flow in metric measure spaces and applications to spaces with Ricci bounds from below

* Alicandro, Ponsiglione: Ginzburg-Landau functionals and  renormalized energy: A revised  $\Gamma$-convergence approach

* Ambrosio, Crasta, De Cicco, De Philippis: A nonautonomous chain rule in $W^{1,1}$ and in $BV$

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

* Ambrosio, Rajala: Slopes of Kantorovich potentials and existence of optimal transport maps in metric measure spaces

* De Philippis, Figalli: $W^{2,1}$ regularity for solutions of the Monge-Amp?re equation

* Rajala: Interpolated measures with bounded density in metric spaces satisfying the curvature-dimension conditions of Sturm

* Ambrosio, Colombo, De Philippis, Figalli: Existence of Eulerian solutions to the semigeostrophic equations in physical space: the 2-dimensional periodic case

* Lu: Geometric and topological properties of exponent related dynamic evolution

* Ambrosio, Da Prato, Goldys, Pallara: Bounded variation with respect  to a log-concave measure

* Ambrosio, Ghiraldin: Flat chains with finite size in metric spaces

* Mondino, Schygulla : Existence of immersed spheres minimizing curvature functionals in non-compact 3-manifolds

* Ambrosio, Schmidt: Compactness results for normal currents and the Plateau problem in dual Banach spaces

* De Philippis, Figalli: Second order stability for the Monge-Amp?re equation and strong Sobolev convergence of optimal transport maps

* Rajala: Improved geodesics for the reduced curvature-dimension condition in branching metric spaces

* Barilari: Trace heat kernel asymptotics in 3D contact sub-Riemannian geometry

* Durand Cartagena, Jaramillo, Shanmugalingam: First order Poincar? inequalities in metric measure spaces

* Giacomini, Musesti: Quasi-static evolutions in linear perfect plasticity as a variational limit of finite plasticity: a one-dimensional case

* Della Longa, Freddi, Londero, Paroni: Residually stressed beams

* Alicandro, Ansini: A variational model of interaction between continuum and discrete systems

* Bardelli, Colombo, Mennucci, Yezzi: Multiple Object Tracking via Prediction and Filtering with a Sobolev-type Metric on Curves

* Buttazzo, Velichkov: Shape optimization problems on metric measure spaces

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