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Tuesday, 04.08.2015, 13.30 Uhr (WIAS-406)
BERLINER OBERSEMINAR Nichtlineare partielle Differentialgleichungen (Langenbach-Seminar)
Prof. Dr. Ch. Zanini, Polytechnic University of Turin, Italy:
Viscous and rate-independent damage models in non-smooth domains
more ... Location
Weierstraß-Institut, Mohrenstr. 39, 10117 Berlin, 4. Etage, Weierstraß-Hörsaal (Raum: 406)

Abstract
In this talk, both a rate-independent system for damage, and its rate-dependent, or viscous, regularization are addressed. The models consist of a system of elliptic PDEs coupled to a doubly nonlinear evolution equation of either rate-independent or parabolic type with velocity constraints.

The analysis of the latter PDE system presents remarkable difficulties, due to its highly nonlinear character. We tackle it by combining a variational approach to a class of abstract doubly nonlinear evolution equations, with careful regularity estimates tailored to this specific system, relying on a q-Laplacian type gradient regularization of the damage variable. Hence for the viscous problem we conclude the existence of weak solutions, satisfying a suitable energy-dissipation inequality that is the starting point for the vanishing viscosity analysis. Then for the latter we obtain the global-in-time existence of weak solutions, exploiting refined regularity techniques which do not require a smooth domain.

This talk is based on a joint collaboration with Dorothee Knees (University of Kassel) and Riccarda Rossi (University of Brescia).

Further Informations
Berliner Oberseminar ``Nichtlineare Partielle Differentialgleichungen'' (Langenbach Seminar)

Host
WIAS Berlin
Humboldt-Universität zu Berlin
Tuesday, 04.08.2015, 14.30 Uhr (WIAS-406)
BERLINER OBERSEMINAR Nichtlineare partielle Differentialgleichungen (Langenbach-Seminar)
Prof. Dr. D. Knees, Universität Kassel:
Global spatial regularity for elasticity models with nonsmooth constraints
more ... Location
Weierstraß-Institut, Mohrenstr. 39, 10117 Berlin, 4. Etage, Weierstraß-Hörsaal (Raum: 406)

Abstract
For the analysis of strongly coupled material models it is useful to have deeper insight into the spatial regularity properties of the involved quantities like displacement fields or internal variables. In this lecture we will discuss some recent results for non-smooth situations with a special focus on time-dependent damage models in the small strain regime.

The talk relies on joint results with R. Rossi (University of Brescia) and C. Zanini (Politecnico di Torino).

Further Informations
Berliner Oberseminar ``Nichtlineare Partielle Differentialgleichungen'' (Langenbach Seminar)

Host
WIAS Berlin
Humboldt-Universität zu Berlin
Thursday, 03.09.2015, 16.00 Uhr (WIAS-ESH)
Forschungsseminar Mathematische Modelle der Photonik
M. Kantner, WIAS Berlin:
Modeling and numerical simulation of electrically pumped single-photon emitters
more ... Location
Weierstraß-Institut, Mohrenstr. 39, 10117 Berlin, Erdgeschoss, Erhard-Schmidt-Hörsaal

Further Informations
Forschungsseminar ``Mathematische Modelle der Photonik''

Host
WIAS Berlin
Humboldt-Universität zu Berlin
Friday, 11.09.2015, 10.00 Uhr (WIAS-ESH)
Seminar Numerische Mathematik
Dr. T. Benacchio, Met Office, UK:
Towards scalable numerical weather and climate prediction with mixed finite element discretizations
more ... Location
Weierstraß-Institut, Mohrenstr. 39, 10117 Berlin, Erdgeschoss, Erhard-Schmidt-Hörsaal

Abstract
The nature of atmospheric processes presents a unique set of challenges to numerical modelling, as coupled nonlinear phenomena evolve on a wide range of spatial and temporal scales extending across several orders of magnitude.. Timely and reliable forecasts require accurate simulation of transport processes together with robust handling of waves and balanced regimes, with competitive and scalable performance a key requisite on increasingly parallel architectures. Features of the nonhydrostatic compressible dynamical core in operation at the Met Office will be outlined, with particular reference to the scalability bottleneck given by the currently employed latitude-longitude grid structure. The talk will then focus on theoretical and computational aspects and open challenges of the mixed finite element numerical scheme on quasi-uniform spherical grids underpinning the next generation dynamical core.

Host
WIAS Berlin
September 17 – 18, 2015 (WIAS-ESH)
Workshop/Konferenz: Workshop on Recent Developments in Inverse Problems
more ... Location
Weierstraß-Institut, Mohrenstr. 39, 10117 Berlin, Erdgeschoss, Erhard-Schmidt-Hörsaal

Host
WIAS Berlin
October 12 – 14, 2015 (WIAS-ESH)
Workshop/Konferenz: Waves, Solitons and Turbulence in Optical Systems (WASTOS15)
more ... Location
Weierstraß-Institut, Mohrenstr. 39, 10117 Berlin, Erdgeschoss, Erhard-Schmidt-Hörsaal

Host
WIAS Berlin
Thursday, 05.11.2015, 16.00 Uhr (WIAS-ESH)
Forschungsseminar Mathematische Modelle der Photonik
S. Pickartz, WIAS Berlin:
Reduced theory of interacting wave packets in nonlinear optical fibers
more ... Location
Weierstraß-Institut, Mohrenstr. 39, 10117 Berlin, Erdgeschoss, Erhard-Schmidt-Hörsaal

Further Informations
Forschungsseminar ``Mathematische Modelle der Photonik''

Host
WIAS Berlin
Humboldt-Universität zu Berlin
November 30 – December 4, 2015 (WIAS-ESH)
Workshop/Konferenz: PDE2015
Theory and Applications of Partial Differential Equations

more ... Location
Weierstraß-Institut, Mohrenstr. 39, 10117 Berlin, Erdgeschoss, Erhard-Schmidt-Hörsaal

Host
WIAS Berlin
Universität Kassel
December 7 – 9, 2015 (WIAS-ESH)
Workshop/Konferenz: 4th Annual ERC Berlin-Oxford Young Researchers Meeting on Applied Stochastic Analysis
more ... Location
Weierstraß-Institut, Mohrenstr. 39, 10117 Berlin, Erdgeschoss, Erhard-Schmidt-Hörsaal

Host
European Research Council
WIAS Berlin
December 16 – 18, 2015 (WIAS-ESH)
Workshop/Konferenz: Stochastic Limit Analysis for Reacting Particle Systems
more ... Location
Weierstraß-Institut, Mohrenstr. 39, 10117 Berlin, Erdgeschoss, Erhard-Schmidt-Hörsaal

Host
WIAS Berlin
February 22 – 26, 2016 (WIAS-ESH)
Workshop/Konferenz: ERC Workshop "Modeling Materials and Fluids using Variational Methods''
more ... Location
Weierstraß-Institut, Mohrenstr. 39, 10117 Berlin, Erdgeschoss, Erhard-Schmidt-Hörsaal

Host
WIAS Berlin