We consider three dimensional BTZ black-hole (covering space) metric and show that in contrast to the flat case the Maxwell theory is not confining. We also study the effect of the curvature on screening behavior of Maxwell-Chern-Simons model in this space-time. PACS numbers: 04.20.-q

Gunther H Sandmann ([email protected]) Christopher Adamczyk ([email protected]) Eduardo Grande Garcia ([email protected]) Stefan Doebele ([email protected]) Andreas Buettner ([email protected]) Stefan Milz ([email protected]) Andreas B Imhoff ([email protected]) Stefan Vogt ([email protected]) Rai...

This paper is concerned with the Penrose{Fife phase{ eld model and some Stefan problems, in which the heat ux is proportional to the gradient of the inverse absolute temperature. Recently, Colli and Sprekels proved that, as some parameters in the Penrose{Fife equations tend to zero, the corresponding solutions converge against the solutions to these Stefan problems. Following their approach, we...

The Rayleigh-Stokes problem for a generalized Maxwell fluid in a porous half-space with a heated flat plate is investigated. For the description of such a viscoelastic fluid, a fractional calculus approach in the constitutive relationship model is used. By using the Fourier sine transform and the fractional Laplace transform, exact solutions of the velocity and the temperature are obtained. Som...

Starting with the 2 + 1 Einstein–Maxwell–Dilaton system with a cosmological constant and assuming two commuting Killing symmetries we derive the corresponding 1 + 0 σ–model. It is shown that, for general values of the coupling parameters, the T –duality group is SL(2, R), which coincides with the group of linear coordinate transformations along the Killing orbits. This duality, along with a sui...

In this paper we consider a nonlinear two-phase Stefan problem in one-dimensional space. The problem is mapped into a nonlinear Volterra integral equation for the free boundary.

This paper presents a statistical approach to aggregating speed and phase (directional) information for vascular segmentation of phase contrast magnetic resonance angiograms (PC-MRA). Rather than relying on speed information alone, as done by others and in our own work, we demonstrate that including phase information as a priori knowledge in a Markov random field (MRF) model can improve the qua...