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--- Summary ---
* Events: Fall Semester 2015 in Analysis, Lyon
, 19th Internet Seminar: Infinite Dimensional Analysis
* Seminars by: Bressan, Braides, Battaglia
* New papers by: Garroni, Toader, Dal Maso, Braides, Cristoferi, Larsen, Palombaro* Modified papers by: Murat, Fonseca, Toader, Erhardt, Almi, Morandotti, DeSimone, Dal Maso, Agostiniani, De Simone, Larsen, Leoni, Crismale
--- Events ---
Fall Semester 2015 in Analysis, Lyon
Tuesday 1 sep 2015 -- Thursday 31 dec 2015
Lyon, France
From September 1 to December 31, 2015 a semester in Analysis will take place in Lyon, France, with the following main events:

- Workshop Analysis in Lyon (October 26-30, 2015); on Thursday October 29, Luigi Ambrosio will be awarded a "doctorat honoris causa" from the École normale supérieure de Lyon.

- Winter school on nonlinear function spaces in mathematics and physical sciences (December 14-18, 2015)

During the semester, the École normale supérieure de Lyon and the Université Claude Bernard Lyon 1 will host short and long term visitors. 

The scientific committee of the semester is the following:

- Stefano Bianchini (SISSA Trieste)

- Albert Fathi (École normale supérieure de Lyon)

- Alessio Figalli (University of Texas at Austin)

- Petru Mironescu (Université Lyon 1)

19th Internet Seminar: Infinite Dimensional Analysis
Tuesday 13 oct 2015 -- Saturday 4 jun 2016
Final Worshop in Casalmaggiore, Cremona (Italy), May 30th to June 4th 2016
The I-Sem is a well-established series of courses in the field of Mathematical Analysis.
It introduces master, Ph.D. students and postdocs to subjects related to functional analysis and evolution equations.
 
As usual, the course consists of three phases.

Phase 1 (October-February) The organisers provide a weekly lecture via the ISem website. The participants are expected to study the lecture notes, to solve the proposed problems, to post their remarks and questions in the website, and to post the solutions of the problems, in turn. Participants belonging to the same institution are encouraged to collaborate, possibly under the supervision of a senior local coordinator.

Phase 2 (February-May) The participants form small international groups to work on various projects which supplement the theory of Phase 1 and provide some applications. Each group is coordinated by a senior mathematician who provides bibliographical material and help.

Phase 3 (30 May-4 June, 2016) A final one-week workshop will be held at Istituto Santa Chiara,  Casalmaggiore, Cremona (Italy). There the teams will present their projects and some additional lectures  will be delivered by leading experts.

The virtual lecturers are Alessandra Lunardi, Michele Miranda and Diego Pallara and the topic is "Infinite dimensional analysis". For more details we refer to the page http:////dmi.unife.it//isem19.

--- Seminars next week ---
* Tuesday 24 nov 2015

time: 17:00
Dipartimento di Matematica (Sala Riunioni)
Lipschitz Metrics for Nonlinear Wave Equations
Alberto Bressan 
Abstract. The talk is concerned with some classes of nonlinear wave equations: of first order, such as the Camassa-Holm equation, or of second order, as the variational wave equation $u_{tt} - c(u) ( c(u) u_x )_x=0$. In both cases, it is known that the equations determine a unique flow of conservative solutions within the natural "energy" space $H^1(R)$. 
However, this flow is not continuous w.r.t. the $H^1$ distance. 

Our goal is to construct a new metric, which renders this flow uniformly Lipschitz continuous on bounded subsets of $H^1$. For this purpose, $H^1$ is given the structure of a Finsler manifold, where the norm of tangent vectors is defined in terms of an optimal transportation problem. For paths of piecewise smooth solutions, one can carefully estimate how the weighted length grows in time. 
To complete the construction, one needs an additional argument showing that the family of piecewise smooth solutions is dense. This generic regularity property can be proved using a variable transformation that reduces the equations to a semilinear system, followed by an application of Thom's transversality theorem.

* Wednesday 25 nov 2015

time: 17:00
Aula Seminari Dipartimento di Matematica di Pisa 
Perturbations of variational evolutions
Andrea Braides (Dip. Mat. Univ. Roma ``Tor Vergata'')
Abstract. The notion of minimizing movement (Almgren-Taylor-Wang, De Giorgi),
which has been used to give a general definition of gradient flow
(Ambrosio-Gigli-Savaré) 
can also be used to study a "homogenized" motion for a family of functionals
depending on a small parameter. I want to give some simple examples, starting 
from an elementary ODE, and focus on some types of perimeter functionals
in which case the limits describe motion by crystalline mean curvature and some
of its non-trivial variants. From those examples we will note that in general the 
limit motion is not the minimizing movement of the (Gamma-)limit (when it exists),
and we will examine some related (open) questions. 


* Thursday 26 nov 2015

time: 16:00
Scuola Normale Superiore,  Aula Contini
The singular Toda system on compact surfaces
Luca Battaglia     I will talk about the singular Toda system on compact surfaces, that is a system of two second-order elliptic PDEs with exponential nonlinearities.
I will present some existence results based on variational-topological methods.

--- New Papers ---
* Cristoferi: On periodic critical points and local minimizers of the Ohta-Kawasaki functional
* Dal Maso, Larsen, Toader: Existence for constrained dynamic Griffith fracture with a weak maximal dissipation condition
* Braides, Garroni, Palombaro: Interfacial energies of systems of chiral molecules
--- Modified Papers ---
* Agostiniani, Dal Maso, De Simone: Linear elasticity obtained from finite elasticity by Gamma-convergence under weak coerciveness conditions
* Dal Maso, Larsen: Existence for wave equations on domains with arbitrary growing cracks
* Dal Maso, Murat: Asymptotic behaviour and correctors for linear Dirichlet problems with simultaneously varying operators and domains
* Dal Maso: Generalised functions of bounded deformation
* Dal Maso, DeSimone, Morandotti: One-dimensional swimmers in viscous fluids: dynamics, controllability, and existence of optimal controls
* Agostiniani, Dal Maso, De Simone: Attainment results for nematic elastomers
* Erhardt: Higher integrability for solutions to parabolic problems with irregular obstacles and nonstandard growth
* Almi, Dal Maso, Toader: Quasi-static crack growth in hydraulic fracture
* Dal Maso, Fonseca, Leoni: Second Order Asymptotic Development for the Anisotropic Cahn-Hilliard Functional
* Crismale: Globally stable quasistatic evolution for strain gradient plasticity coupled with damage
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