Forthcoming Seminars › Seminar Series

Partial Differential Equations Seminar

Mon, 26/01/2009
17:00 		Florian Theil (University of Warwick) Partial Differential Equations Seminar Add to calendar Gibson 1st Floor SR
Energy Transport by Acoustic Modes of Harmonic Lattices
Mon, 02/02/2009
17:00 		Andrea Malchiodi (SISSA) Partial Differential Equations Seminar Add to calendar Gibson 1st Floor SR
Existence of conformal metric with constant Q-curvature
A classical problem in differential geometry is to deform the metric of a given manifold so that some of its curvatures become prescribed functions. Classical examples are the Uniformization problem for compact surfaces and the Yamabe problem for compact manifolds of dimension greater than two. We address a similar problem for the so-called Q-curvature, which plays an important role in conformal geometry and is a natural higher order analogue of the Gauss curvature. The problem is tackled using a variational and Morse theoretical approach.
Mon, 09/02/2009
17:00 		Kenneth Falconer (St. Andrews) Partial Differential Equations Seminar Add to calendar Gibson 1st Floor SR
Self-affine sets - Dimensions and Dynamics
The talk will survey some recent and not so recent work on the Hausdorff and box dimension of self-affine sets and related attractors and repellers that arise in certain dynamical systems.
Mon, 16/02/2009
17:00 		Reiner Schätzle (Tübingen University) Partial Differential Equations Seminar Add to calendar Gibson 1st Floor SR
Minimizers of the Willmore functional under fixed conformal class
We prove the existence of a smooth minimizer of the Willmore energy in the class of conformal immersions of a given closed Riemann surface into $ R^n $, $ n = 3, 4 $, if there is one conformal immersion with Willmore energy smaller than a certain bound $ W_{n,p} $ depending on codimension and genus $ p $ of the Riemann surface. For tori in codimension $ 1 $, we know $ W_{3,1} = 8\pi $ . Joint work with Enrst Kuwert.
Mon, 23/02/2009
17:00 		Eric Cances (CERMICS (ENPC)) Partial Differential Equations Seminar Add to calendar Gibson 1st Floor SR
Some mathematical aspects of Density functional theory
Electronic structure calculations are commonly used to understand and predict the electronic, magnetic and optic properties of molecular systems and materials. They are also at the basis of ab initio molecular dynamics, the most reliable technique to investigate the atomic scale behavior of materials undergoing chemical reactions (oxidation, crack propagation, ...). In the first part of my talk, I will briefly review the foundations of the density functional theory for electronic structure calculations. In the second part, I will present some recent achievements in the field, as well as open problems. I will focus in particular on the mathematical modelling of defects in crystalline materials.
Mon, 02/03/2009
17:00 		Luis Escauriaza (Universidad del País Vasco) Partial Differential Equations Seminar Add to calendar Gibson 1st Floor SR
Hardy's Uncertainty Principle, Convexity and Schrödinger Evolutions
Mon, 09/03/2009
17:00 		Jens Frehse (Bonn) Partial Differential Equations Seminar Add to calendar Gibson 1st Floor SR
Regularity properties of solutions to elastic plastic problems with hardening
We consider problems of elastic plastic deformation with isotropic and  kinematic hardening. A dual formulation with stresses as principal variables is used.  We obtain several results on Sobolev space regularity of the stresses  and strains. In particular, we obtain the existence of a full derivative of the  stress tensor up to the boundary of the basic domain. Finally, we present an outlook for obtaining further regularity  results in connection with general nonlinear evolution problems.

For any corrections/updates to these listings, please contact seminars [-at-] maths [dot] ox [dot] ac [dot] uk.

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