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Characterisation of Low Frequency Gravitational Waves from Dual RF Coaxial-Cable Detector: Fractal Textured Dynamical 3-Space
Low Frequency Gravitational Waves Dual RF Coaxial-Cable Detector Fractal Textured Dynamical 3-Space
2012/5/17
Experiments have revealed that the Fresnel drag effect is not present in RF coaxial cables, contrary to a previous report. This enables a very sensitive, robust and compact detector, that is 1st order...
Singularities of the moduli space of level curves
Singularities moduli space of level curves Algebraic Geometry
2012/5/9
For a fixed integer l>1, we describe the singular locus of the compactification of the moduli space R_{g,l} of curves of genus g paired with an l-torsion point in their Jacobian. Generalizing previous...
Well-posedness for the fifth-order KdV equation in the energy space
Fifth-order KdV equation fifth-order water-waves models initial value problem
2012/5/9
We prove that the initial value problem (IVP) associated to the fifth order KdV equation {equation} \label{05KdV} \partial_tu-\alpha\partial^5_x u=c_1\partial_xu\partial_x^2u+c_2\partial_x(u\partial_x...
A posteriori error analysis for a continuous space-time finite element method for a hyperbolic integro-differential equation
integro-differential equation continuous Galerkin finite element method convolution kernel stability a posteriori estimate
2012/5/9
An integro-differential equation of hyperbolic type, with mixed boundary conditions, is considered. A continuous space-time finite element method of degree one is formulated. A posteriori error repres...
Quasi-plane waves for spin 1 field in Lobachevsky space and a generalized helicity operator
Quasi-plane waves spin 1 field Lobachevsky space generalized helicity operator Mathematical Physics
2012/5/9
Spin 1 particle is investigated in 3-dimensional curved space of constant negative curvature. An extended helicity operator is defined and the variables are separated in a tetrad-based 10-dimensional ...
Dependence of Kolmogorov widths on the ambient space
Dependence of Kolmogorov widths ambient space Functional Analysis
2012/5/9
We study the dependence of the Kolmogorov widths of a compact set on the ambient Banach space.
A Tale of Two Arc Lengths: Metric notions for curves in surfaces in equiaffine space
anne curve anne arc length anne surface anne first fundamental form
2012/5/9
In Euclidean geometry, all metric notions (arc length for curves, the first fundamental form for surfaces, etc.) are derived from the Euclidean inner product on tangent vectors, and this inner product...
Geodesics in the space of Kahler cone metrics
Geodesics the space of Kahler cone metrics Analysis of PDEs
2012/5/9
In this paper, we prove the existence and uniqueness of the weak cone geodesics in the space of K\"ahler cone metrics by solving the singular, homogeneous complex Monge-Amp\`{e}re equation. As an appl...
Spherical Indicatrices of Involute of a Space Curve in Euclidean 3-Space
Involute curve Evolute curve Helix, Slant helix Spherical indicatrix
2012/4/16
In this work, we studied the properties of the spherical indicatrices of involute curve of a space curve and presented some characteristic properties in the cases that involute curve and evolute curve...
Bilinear decompositions for the product space $H^1_L\times BMO_L$
Schrodinger operator Hardy-Orlicz space bilinear operator BMO
2012/4/16
In this paper, we improve a recent result by Li and Peng on products of functions in $H_L^1(\bR^d)$ and $BMO_L(\bR^d)$, where $L=-\Delta+V$ is a Schr\"odinger operator with $V$ satisfying an appropria...
Experimental phase-space-based optical amplification of scar modes
Experimental phase-space-based optical amplification scar modes Optics
2012/4/20
Waves billiard which are chaotic in the geometrical limit are known to support non-generic spatially localized modes called scar modes. The interaction of the scar modes with gain has been recently in...
On the anomalous t-quark charge asymmetry and noncontractibility of the physical space
anomalous t-quark charge asymmetry noncontractibility of the physical space General Physics
2012/4/19
Heavy flavour production at hadron colliders represents a very promising field to test perturbative QCD. The integrated forward-backward asymmetry of the top-antitop quark production is particularly s...
Integral geometry of complex space forms
Integral geometry complex space forms Differential Geometry
2012/4/18
Using the language of Alesker's theory of valuations on manifolds, a thorough account of the integral geometry of the complex space forms is given. The local kinematic formulas on complex space forms ...
A Space-time Smooth Artificial Viscosity Method For Nonlinear Conservation Laws
Space-time Smooth Artificial Viscosity Method Nonlinear Conservation Laws Computational Physics
2012/4/19
We introduce the $C$-method, a simple scheme for adding localized, space-time smooth, artificial viscosity to nonlinear systems of conservation laws which propagate shock waves, rarefactions, and cont...
Local-in-space estimates near initial time for weak solutions of the Navier-Stokes equations and forward self-similar solutions
Local-in-space estimates initial time weak solutions of the Navier-Stokes equations forward self-similar solutions Analysis of PDEs
2012/4/18
We show that the classical Cauchy problem for the incompressible 3d Navier-Stokes equations with $(-1)$-homogeneous initial data has a global scale-invariant solution which is smooth for positive time...