on Σ; ( where ∆g is the Laplace-Beltrami, ρ a real parameter) which arises in the study of limit of point vortices of Euler flows, spherical Onsager vortex theory and condensates in some Chern-Simons-Higgs models, see for example the papers [3], [4], [8], [9], [10], [11], [14], [25], [40] and the references therein. An other example is what we refer as mean field equation with turbulence on a c...

We present an adaptive finite element method for approximating solutions to the Laplace-Beltrami equation on surfaces in R3 which may be implicitly represented as level sets of smooth functions. Residual-type a posteriori error bounds which show that the error may be split into a “residual part” and a “geometric part” are established. In addition, implementation issues are discussed and several...

The aim of this paper is to present a new framework for regularization by diffusion. The methods we develop in the sequel can be used to smooth multichannel images, multichannel image sequences (videos), vector fields and orthonormal frame fields in any dimension.1 From a mathematical viewpoint, we deal with vector bundles over Riemannian manifolds and socalled generalized Laplacians. Sections ...

Recently Kleides et al [IJMPA 11, 1697 (2008)] found a growing rate for magnetic fields in ideal plasma cosmologies by making use of general relativistic Friedmann model. This growth rate of δB B ∼ (t t H) 1 4 indicates the presence of a slow dynamo in the universe. More recently Hasseein [Phys Plasmas (2009)] have also investigate Beltrami magnetic fields in plasma universe. Here general relat...

Spherical harmonics of degree l are the functions on the unit 2-sphere which satisfy ∆f = l(l + 1)f for the Laplace-Beltrami operator ∆. They form an irreducible representation of SO(3) of dimension 2l + 1 and are the restrictions to the sphere of homogeneous polynomials f(x1, x2, x3) of degree l which solve Laplace’s equation in R. This paper concerns a curious relationship between the case l ...

Gabor feature space is elaborated for representation, processing and segmentation of textured images. As a first step of preprocessing of images represented in this space, we introduce an algorithm for Gabor feature space denoising. It is a geometric-based algorithm that applies diffusion-like equation derived from a minimal weighted area functional, introduced previously and applied in the con...