161 research outputs found
Cluster Dynamics of Planetary Waves
The dynamics of nonlinear atmospheric planetary waves is determined by a
small number of independent wave clusters consisting of a few connected
resonant triads. We classified the different types of connections between
neighboring triads that determine the general dynamics of a cluster. Each
connection type corresponds to substantially different scenarios of energy flux
among the modes. The general approach can be applied directly to various
mesoscopic systems with 3-mode interactions, encountered in hydrodynamics,
astronomy, plasma physics, chemistry, medicine, etc.Comment: 6 pages, 3 figs, EPL, publishe
A Model of Intra-seasonal Oscillations in the Earth atmosphere
We suggest a way of rationalizing an intra-seasonal oscillations (IOs) of the
Earth atmospheric flow as four meteorological relevant triads of interacting
planetary waves, isolated from the system of all the rest planetary waves.
Our model is independent of the topography (mountains, etc.) and gives a
natural explanation of IOs both in the North and South Hemispheres. Spherical
planetary waves are an example of a wave mesoscopic system obeying discrete
resonances that also appears in other areas of physics.Comment: 4 pages, 2 figs, Submitted to PR
Laminated Wave Turbulence: Generic Algorithms II
The model of laminated wave turbulence puts forth a novel computational
problem - construction of fast algorithms for finding exact solutions of
Diophantine equations in integers of order and more. The equations to
be solved in integers are resonant conditions for nonlinearly interacting waves
and their form is defined by the wave dispersion. It is established that for
the most common dispersion as an arbitrary function of a wave-vector length two
different generic algorithms are necessary: (1) one-class-case algorithm for
waves interacting through scales, and (2) two-class-case algorithm for waves
interacting through phases. In our previous paper we described the
one-class-case generic algorithm and in our present paper we present the
two-class-case generic algorithm.Comment: to appear in J. "Communications in Computational Physics" (2006
Invariant Form of BK-factorization and its Applications
Invariant form of BK-factorization is presented, it is used for factorization
of the LPDOs equivalent under gauge transformation and for construction of
approximate factorization simplifying numerical simulsations with corresponding
LPDEs of higher orderComment: 11 pages, 7 figure
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