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A complete unitary similarity invariant for unicellular matrices
invariant unicellular matrices
2010/11/8
Necessary and sufficient conditions for two n-by-n unicellular complex matrices to be unitarily equivalent are established.
Criterion of unitary similarity for upper triangular matrices in general position
upper triangular matrices general position
2010/11/8
Each square complex matrix is unitarily similar to an upper triangular matrix with diagonal entries in any prescribed order. Let A and B be upper triangular n-by-n matrices that (i) are not similar to...
Exponential Class of Similarity Solutions for the Hydromagnetic Falkner-Skan Equations
Exponential Class the Hydromagnetic Falkner-Skan Equations
2010/11/12
A systematic search for the Lie point symmetries admitted by the steady hydromagnetic two-dimensional incompressible viscous flow boundary layer equation and associated boundary conditions is perform...
The similarity of observed X-ray coronae associated with L* disc and elliptical galaxies
galaxies:formation – galaxies haloes – galaxies cooling flows – galaxies intergalactic intergalactic
2010/11/12
The existence of hot, X-ray luminous gaseous coronae surrounding present day L? galaxies
is a generic prediction of galaxy formation theory in the cold dark matter cosmogony.
While extended X-ray em...
Self-Similarity and Lamperti Convergence for Families of Stochastic Processes
fractional Hougaard motion Hougaard L´ evy process Lamperti Lamperti
2010/11/26
We define a new type of self-similarity for one-parameter families of stochastic processes,
which applies to a number of important families of processes that are not self-similar in the
conventional...
Extended Self Similarity works for the Burgers equation and why
Extended Self-Similarity Burgers equation
2010/4/6
Extended Self-Similarity (ESS), a procedure that remarkably extends the range of scaling for structure functions in Navier--Stokes turbulence and thus allows improved determination of intermittency ex...
Solar wind low-frequency magnetohydrodynamic turbulence:extended self-similarity and scaling laws
Solar wind low-frequency magnetohydrodynamic turbulence extended self-similarity scaling laws
2009/11/16
In this paper we review some of the work done in investigating the scaling properties of Magnetohydrodynamic turbulence, by using velocity fluctuations measurements performed in the interplanetary spa...
The results of theoretical and numerical study of the Hasselmann kinetic equation for deep water waves in presence of wind input and dissipation are presented. The guideline of the study: nonlinear tr...
Self-Similarity Concept in Marine System Modeling
self-similarity modelling turbulence Baltic Sea
2009/6/10
The self-similarity concept for sea temperature was firstly introduced by Kitaigorodskii and Miropolski (1970). They found that a non-dimensional temperature is only dependent on a non-dimensional ver...
Extending the Similarity Theory for Atmospheric Boundary Layers: Contribution from Background Stratification
Atmospheric boundary layer similarity theory turbulence stratification effects
2009/6/10
The structure of the atmospheric boundary layer has traditionally been described using only surface fluxes and the Coriolis parameter. We review here the proposal of Kitaigorodskii (1988) and Kitaigor...
An investigation of site-similarity approaches to generalisation of a rainfall–runoff model
rainfall–runoff model pooling groups
2009/5/6
This paper investigates a new approach to spatial generalisation of rainfall–runoff model parameters – site-similarity with pooling groups – for use in flood frequency estimation at ungauged sites usi...
In this study, it is shown that the complexity of Soil Vegetation Atmosphere Transfer (SVAT) models leads to an equifinality of functional behaviour - many parameterizations from many areas of the par...
Stommel’s “Westward Intensification” in a Three-Dimensional Similarity Version
Westward Intensification Three-Dimensional Similarity Version Stommel's classical transport
2009/1/5
A special three-dimensional solution of similarity type is given for a meridionally closed ocean with dynamic according to Stommel's classical transport model, and with the density determined by three...
Similarity reductions of Benjamin-Bona-Mahony equation
Integrability of nonlinear partial differential equations Lie symmetries
2010/9/10
In this paper, we firstly study the classical Lie symmetries of the Benjamin-Bona-Mahony (BBM) equation which is obtained through the Lie group method of infinitesimal transformations. Secondly using ...
From self-similarity to fractional derivative of non-differentiable functions via Mittag-Leffler function
Fractional differentiability self-similar function Mittag-Leffler function
2010/9/14
This short note focuses on the relation between fractional differentiability, self-similarity and the Mittag-Leffler function, and tries to clarify the origin and the very reason for introducing fract...