搜索结果: 1-13 共查到“动力系统 Equations”相关记录13条 . 查询时间(0.125 秒)
Asymptotic analysis for a Vlasov-Fokker-Planck/Compressible Navier-Stokes system of equations
Asymptotic analysis Vlasov-Fokker-Planck Compressible Navier-Stokes system of equations
2015/10/15
This article is devoted to the asymptotic analysis of a system of coupled kinetic and fluid equations, namely the Vlasov-Fokker-Planck equation and a compressible Navier-Stokes equation. Such a system...
Fractional diffusion limit for collisional kinetic equations:A moments method
Kinetic equations linear Boltzmann equation asymptotic analysis diffusion limit anomalous diffusion limit fractional diffusion relaxation equation anomalous diffusive time scale
2015/10/15
This paper is devoted to hydrodynamic limits of linear kinetic equations. We consider situations in which the thermodynamical equilibrium is described by a heavy-tail distribution function rather than...
Anomalous diffusion limit for kinetic equations with degenerate collision frequency
Anomalous diffusion limit kinetic equations degenerate collision frequency
2015/10/15
This paper is devoted to hydrodynamic limits for collisional linear kinetic equations. It is a classical result that under certain conditions on the collision operator, the long time/small mean free p...
Fractional diffusion limit for collisional kinetic equations:a Hilbert expansion approach
Fractional diffusion limit collisional kinetic equations Hilbert expansion
2015/10/15
We develop a Hilbert expansion approach for the derivation of fractional diffusion equations from the linear Boltzmann equation with heavy tail equilibria.
The global strong solution for Navier-Stokes equations in 3D thin domains with Navier-friction boundary conditions
3D Navier-Stokes equations thin domains Navier-friction boundary conditions attractors
2011/10/19
In this paper, we consider Navier-Stokes equations in thin 3D thin domain with more general Navier-friction boundary conditions (2.4) (compare with boundary condition in [1]). We prove the global exis...
Quasi-periodic Solutions for 2k Order Wave Equations
2k order wave equations KAM theory Quasi-periodic solutions Partial Birkhoff normal form
2011/10/18
In this paper, we consider one-dimensional (1D) nonlinear 2k order wave equations under the Dirichlet boundary conditions, weher the nonlinearity f is an analytic, odd function. It is proved that for ...
Integration of Constraint Equations in Problems of a Disc and a Ball Rolling on a Horizontal Plane
Integration of Constraint Equations Disc Ball Rolling Horizontal Plane Dynamical Systems
2011/10/9
Abstract: The problem of a disc and a ball rolling on a horizontal plane without slipping is considered. Differential constrained equations are shown to be integrated when the trajectory of the point ...
Nonlinear Analysis of the Solutions of the Hasegawa-Wakatani Equations
Hasegawa Wakatani equations centre manifold theory nonlinear ordinary differential equations
2011/8/22
Abstract: The Hasegawa-Wakatani models are used in the study of confinement of hot plasmas with externally imposed magnetic fields. The nonlinear terms in the Hasegawa-Wakatani models complicate the a...
A boundary matching micro/macro decomposition for kinetic equations
boundary matching micro/macro decomposition kinetic equations
2011/1/21
We introduce a new micro/macro decomposition of collisional kinetic equations which naturally incorporates the exact space boundary conditions.
Effective evolution equations from many body quantum dynamics
Effective evolution equations many body quantum dynamics
2011/2/24
In these notes we review some recent results concerning the derivation of effective
equations from first principle quantum dynamics. In particular, we discuss the derivation
of the semi-relativistic...
Dynamics of a rational system of difference equations in the plane
Dynamics difference equations
2010/11/15
We consider a rational system of first order difference equations in the plane with four parameters such that all fractions have a common denominator. We study, for the different values of the paramet...
Fluid Dynamic Limit to the Riemann Solutions of Euler Equations: I. Superposition of rarefaction waves and contact discontinuity
Fluid Dynamic the Riemann Solutions of Euler Equations
2010/11/15
Fluid dynamic limit to compressible Euler equations from compressible Navier-Stokes equations and Boltzmann equation has been an active topic with limited success so far. In this paper, we consider t...
Modeling scaled processes and 1/f^b noise by the nonlinear stochastic differential equations
nonlinear stochastic differential power-law distributions
2010/4/2
We present and analyze stochastic nonlinear differential equations generating signals with the power-law distributions of the signal intensity, 1/f^b noise, power-law autocorrelations and second order...