Characterisation of the PDE system of vectorial Calculus of vari- ations in L∞ via affine variations. Birzhan Ayanbayev (Reading)
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Category Archives: Meeting 4
Existence of 1D Vectorial Absolute Minimisers in L∞ under Minimal Assumptions. Hussien Abugirda (Reading)
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Analytical and numerical aspects of a gradient-flow-description for zero-range-processes. Peter Embacher (Cardiff)
Recent work on a description of zero-range-processes as entropy-driven gradient-flows is presented. Special emphasis is layed on how this can be exploited for numerically finding the corresponding thermodynamic metric of the process.
Lipschitz truncations versus regularity: an overview. Bianca Stroffolini (Napoli, Italy)
TBC
A theory of Lower Semicontinuity for Integral Functionals with Linear Growth and u-dependence, Giles Shaw (Reading & Cambridge)
Variational problems with linear growth arise naturally in the Calcu- lus of Variations from the study of singular perturbation problems associated to a large number of physical and mathematical applications. These problems must be posed over the class of functions of bounded variation, and their analysis is signifi- cantly more involved than that which is… Read More »
A variational problem from micromagnetics with a nonlocal term, Roger Moser (Bath)
We study a model for transition layers, called Nel walls, in thin films of ferromagnetic materials. The magnetisation is represented by a map from a line to the unit circle in this model, and there is an energy functional consisting of an Allen-Cahn type term and a nonlocal term penalising a fractional Sobolev norm of… Read More »