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Fractional diffusion limit for collisional kinetic equations
fractional diffusion fractional heat equation anomalous heat transport linear Boltzmann equation relaxation equation linear BGK equation diffusion limit anomalous diffusion limit anomalous diffusive time scale mathematical derivation
2015/10/15
This paper is devoted to diffusion limits of linear Boltzmann equations. When the equilibrium distribution function is a Maxwellian distribution, it is well known that for an appropriate time scale, t...
Groups of automorphisms of trees and their limit sets
Groups automorphisms trees limit sets
2015/8/26
Let T be a locally finite simplicial tree and let ! ⊂ Aut(T ) be a finitely generated discrete subgroup. We obtain an explicit formula for the critical exponent of the Poincare series associated...
On pro-$p$ analogues of limit groups via extensions of centralizers
Group Theory extensions of centralizers limit groups pro-$p$ analogues
2011/9/5
Abstract: We begin a study of a pro-$p$ analogue of limit groups via extensions of centralizers and call $\mathcal{L}$ this new class of pro-$p$ groups. We show that the pro-$p$ groups of $\mathcal{L}...
The Continuum Limit of Toda Lattices for Random Matrices with Odd Weights
Toda Lattices Continuum Limit Random Matrices Odd Weights
2011/7/7
This paper is concerned with the asymptotic behavior of the free energy for a class of Hermitean random matrix models, with odd degree polynomial potential, in the large N limit. It continues an inves...
Central limit theorem for the robust log-regression wavelet estimation of the memory parameter in the Gaussian semi-parametric context
Central limit theorem the robust log-regression wavelet estimation
2010/11/23
In this paper, we study robust estimators of the memory parameter d of a (possibly) non stationary Gaussian time series with generalized spectral density f. This generalized spectral density is chara...
Asymptotic Limit of a Singularly Perturbed Stationary Diffusion Equation: The Case of a Limit Cycle
Diffusion Equation Limit Cycle
2010/11/23
A limit cycle for a nonlinear ordinary differential equation has a sustained, stationary oscillation in time; Any non-trivial stationary stochastic process also exhibits stationary oscillations in tim...
Limit cycle's uniqueness for second order O.D.E.'s polynomial in $\dot x$
Limit cycle's uniqueness O.D.E.'s polynomial
2010/11/12
We prove a uniqueness result for limit cycles of the second order ODE $\ddot x + \sum_{j=1}^{J}f_{j}(x)\dot x^{j} + g(x) = 0$. We extend a uniqueness result proved in \cite{CRV}. The main tool applied...
On the number of limit cycles in quadratic perturbations of quadratic codimension four centers
limit cycles quadratic codimension four centers
2010/11/15
This paper is concerned with the bifurcation of limit cycles in general quadratic perturbations of quadratic codimension-four centers $Q_4$. Gavrilov and Iliev set an upper bound of {\it eight} for th...
We study a new family of "classical" orthogonal polynomials which satisfy (apart from a 3-term recurrence relation) an eigenvalue problem with differential operators of Dunkl-type. These polynomials ...
Vanishing viscosity limit for viscous magnetohydrodynamic equations with a slip boundary condition
Magnetohydrodynamic system lip boundary condition vanishing viscosity limit
2010/12/1
We consider the evolutionary MHD systems, and study the the regularity and vanishing viscosity limit of the 3-D viscous system in a class of bounded domains with a slip boundary condition. We derive t...
专著信息
书名
Quasineutral limit of a nonlinear drift-diffusion models for semiconductors
语种
英文
撰写或编译
作者
I. Gasser,肖玲,P. A.Markowich,王术
第一作者单位
出版社
J. Math. Anal. Appl., 268(1)(2002), 184-199
出版地
出版日期
2002年
...
期刊信息
篇名
A Scattering Matrix Model of Semiconductor Superlattices in Multidimensional Wave-Vector Space and Its Diffusion Limit,
语种
英文
撰写或编译
撰写
作者
Degond P.,Zhang K.J.
第一作者单位
东北师范大学
刊物名称
Chinese Annals...