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A boundary matching micro/macro decomposition for kinetic equations
boundary matching micro/macro decomposition kinetic equations
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2011/1/21
We introduce a new micro/macro decomposition of collisional kinetic equations which naturally incorporates the exact space boundary conditions.
Prime end rotation numbers of invariant separating contunua of annular homeomorphisms
continuum rotation set prime end rotation number Brouwer line
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2011/1/18
Let f be a homeomorphism of the closed annulus A isotopic to the identity, and let X IntA be an f-invariant continuum which separates A into two domains, the upper domain U+ and the lower domain U&#...
Nonlinear Dynamics of Coiling in Viscoelastic Jets
Nonlinear Dynamics Viscoelastic Jets
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2010/12/28
Instabilities in free surface continuous jets of non-Newtonian fluids, although relevant for many industrial processes, remain less well understood in terms of fundamental fluid dynamics.
Principal dynamical components
Principal component analysis time series empirical orthogonal functions
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2011/2/22
A new procedure is proposed for the dimensional reduction of time series. Similarly to principal components, the procedure seeks a low-dimensional manifold that minimizes information loss. Unlike prin...
Regularity "in Large" for the 3D Salmon's Planetary Geostrophic Model of Ocean Dynamics
planetary geostrophic model global regularity ocean dynamics model global circulation
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2011/2/28
It is well known, by now, that the three-dimensional non-viscous planetary geostrophic model,
with vertical hydrostatic balance and horizontal Rayleigh friction, coupled to the heat diffusion and tra...
Reynolds number dependence of kinetic helicity decay in linearly forced turbulence
Reynolds number dependence linearly forced turbulence
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2010/12/28
The decay of kinetic helicity is studied in numerical models of forced turbulence using either an externally imposed forcing function as an inhomogeneous term in the equations or, lternatively, a term...
Radially symmetric and azimuthally modulated vortex solitons supported by localized gain
Radially symmetric azimuthally modulated vortex solitons localized gain
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2010/12/28
We discover that a spatially localized gain supports stable vortex solitons in media with cu-bic nonlinearity and two-photon absorption. The interplay between nonlinear losses and gain in amplifying r...
A note on dynamical systems defining Jacobi's theta-constants
Jacobi’s theta-constants modular forms Poisson structures
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2010/12/28
We propose a system of ordinary differential equations which defines Jacobi’s theta-constant series. The relations of this system to the classical Darboux–Halphen equations and equations introduced by...
Noncommutative deformations of quantum field theories, locality, and causality
noncommutative quantum field theory Moyal and Wick-Voros star products
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2011/3/3
We investigate noncommutative deformations of quantum field theories for different star products, particularly emphasizing the locality properties and the regularity of the deformed fields.
The existence conditions for periodic motions of the Kowalevski gyrostat in double force field
periodic motions Kowalevski gyrostat double force field
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2010/12/28
Изучаются особые периодические движения (критические точки ранга 1 интегрально-
го отображения), найденные в работе М.П.Харламова (Механика твердого тела, вып. 37,
2007) в интегрируемой задаче о дви...
On resonances and bound states of the 't Hooft-Polyakov monopole
resonances bound states 't Hooft-Polyakov monopole
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2011/3/3
We present a systematic approach to the linearised Yang-Mills-Higgs equations in the background of a 't Hooft-Polyakov monopole and use it to unify and extend previous studies of their spectral proper...
Nonlinear dynamics of a coupled micro-ring resonator chain
Nonlinear dynamics coupled micro-ring resonator chain
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2010/12/28
We study nonlinear wave phenomena in a coupled ring resonator optical waveguide in the tight coupling regime. The discrete nonlinear Bloch modes of the structure are derived. The switching behavior of...
Justification of the Dynamical Systems Method (DSM) for global homeomorphisms
The Dynamical Systems Method (DSM) surjectivity global homeomorphisms
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2011/1/21
The Dynamical Systems Method (DSM) is justified for solving oper-ator equations F(u) = f, where F is a nonlinear operator in a Hilbert space H.
Input-to-state stability of interconnected hybrid systems
Stability of hybrid systems Lyapunov methods Large-scale systems
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2011/2/28
We consider interconnections of arbitrary topology of several hybrid input-to-state stable (ISS) systems and study whether the ISS property is preserved by an interconnection. The small gain approach ...
A note on dynamical systems defining Jacobi's theta-constants
Jacobi’s theta-constants modular forms Poisson structures
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2011/1/19
We propose a system of ordinary differential equations which defines Jacobi’s theta-constant series. The relations of this system to the classical Darboux–Halphen equations and equations introduced by...