OxPDE Special Seminar

Fri, 17/02/2012 16:00	Xue-Cheng Tai (University of Bergen)	OxPDE Special Seminar	Gibson 1st Floor SR
	Image Segmentation: Diffusive or Sharp Interfaces and Some Global Minimization Techniques
	Image segmentation and a number of other problems from image processing and computer vision can be regarded as interface problems. Recently, diffusive and sharp interface techniques have been used for these problems. In this talk, we will first briefly explain these models and compare the advantages and disadvantages of these models. Numerically, these models can be solved through some PDEs. In the end, we will show some recent results on how to use graph cut to solve these interface problems. Moreover, the global minimizer can be guaranteed even the problem is nonconex and nonlinear. The use of max-flow in a network setting and also in an infinite dimensional setting will be explained.

Tue, 28/02/2012 16:00	Wladimir Neves (UFRJ-Federal University of Rio de Janeiro)	OxPDE Special Seminar	Gibson 1st Floor SR
	Generalized Buckley-Leverett System
	We show the solvability of a proposed Generalized Buckley-LeverettSystem, which is related to multidimensional Muskat Problem. More-over, we discuss some important questions concerning singular limitsof the proposed model.

Wed, 07/03/2012 12:30	Emma D'Aniello (Seconda Università degli Studi di Napoli)	OxPDE Special Seminar	Gibson 1st Floor SR
	Chaos and its frequency in topological dynamical systems
	Let $M$ be the Cantor space or an $n$ -dimensional manifold with $C(M,M)$ the set of continuous self-maps of $M$ . We analyse the behaviour of the generic $f$ in $C(M,M)$ in terms of attractors and some notions of chaos.

Forthcoming Seminars