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Academy of Mathematics and Systems Science, CAS Colloquia & Seminars：An implicit, asymptotic-preserving and energy-charge conserving method for the Vlasov-Maxwell system near quasineutrality
弗拉索夫-麦克斯韦系统 近准中性 隐式渐近守恒 能量电荷守恒
2023/4/13
An implicit asymptotic-preserving and energy-charge conserving (APECC) Particle-In-Cell method is proposed to solve the Vlasov-Maxwell (VM) equations in the quasi-neutral limit. Charge conservation is...
Asymptotic formula for the condensate wave function of a trapped Bose gas
Asymptotic formula condensate wave function trapped Bose gas
2015/10/16
An analytical property is pointed out for the universal differential equation first derived by Dalfovo, Pitaevskii, and Stringari for the condensate wave function at the boundary of a trapped Bose gas...
Asymptotic limits and the structure of the pion form factor
Dispersion technology solve meson chiral perturbation theory high energy low energy limit
2014/12/22
We use dispersive techniques to address the behavior of the pion form factor as Q2 → ∞ and Q2 → 0. We perform the matching with the constraints of perturbative QCD and chiral perturbation theory in th...
Asymptotic Behavior of the Magnetization Near Critical and Tricritical Points via Ginzburg–Landau Polynomials
Magnetization the gold the Pittsburgh landau lattice spin model the inversion temperature
2014/12/19
The purpose of this paper is to prove connections among the asymptotic behavior of the magnetization, the structure of the phase transitions, and a class of polynomials that we call the Ginzburg–Landa...
Multiscale Asymptotic Expansion and Finite Element Methods For the Mixed Boundary Value Problems of Second Order Elliptic Equation in Perforated Domains
Homogenization Multiscale asymptotic expansion Elliptic equationof second order with rapidly oscillating coefficients Perforated domain
2012/8/8
In this paper, we will discuss the mixed boundary value problems for
the second order elliptic equation with rapidly oscillating coefficients in perforated
domains, and will present the higher-order...
Asymptotic Derivation and Numerical Investigation of Time-Dependent Simplified Pn Equations
Asymptotic Derivation Numerical Investigation Time-Dependent Simplified Pn Equations Computational Physics
2012/5/28
The steady-state simplified Pn (SPn) approximations to the linear Boltzmann equation have been proven to be asymptotically higher-order corrections to the diffusion equation in certain physical system...
Asymptotic behaviour and numerical approximation of optimal eigenvalues of the Robin Laplacian
Robin Laplacian Eigenvalues Optimisation
2012/4/18
We consider the problem of minimising the $n^{th}-$eigenvalue of the Robin Laplacian in $\mathbb{R}^{N}$. Although for $n=1,2$ and a positive boundary parameter $\alpha$ it is known that the minimiser...
Global attractor and asymptotic dynamics in the Kuramoto model for coupled noisy phase oscillators
synchronization Kuramoto model Fokker-Planck PDE global attractor inertial manifold
2011/10/9
Abstract: We study the dynamics of the large N limit of the Kuramoto model of coupled phase oscillators, subject to white noise. We introduce the notion of shadow inertial manifold and we prove their ...
Asymptotic behavior of pion form factors
Vector Meson Dominance Regge behavior dispersion relations
2011/7/21
We consider the electromagnetic and transition pion form factors. Using dispersion relations we simultaneously describe both the hadronic, time-like region and the asymptotic region of large energy-mo...
Asymptotic Analysis of Non-self-adjoint Hill Operators
Asymptotic formulas for eigenvalues and eigenfunctions Hill operator Spectral singularities Spectral operator
2011/9/5
Abstract: In this article we obtain asymptotic formulas, uniform with respect to t\in[0,2{\pi}), for eigenvalues and eigenfunctions of the Sturm-Liouville operators L_{t}(q) with potential q\inL_{1}[0...
We consider the electromagnetic and transition pion form factors. Using dispersion relations we simultaneously describe both the hadronic, time-like region and the asymptotic region of large energy-mo...
Asymptotic Integral Kernel for Ensembles of Random Normal Matrix with Radial Potentials
Random normal matrices Integral kernels Steepest descents method
2011/7/26
Asymptotic Integral Kernel for Ensembles of Random Normal Matrix with Radial Potentials.
In this letter, we study some evolution networks that grow with linear preferential attachment. Based upon some recent results on the quotient Gamma function, we give a rigorous proof of the asymptoti...
Asymptotic of grazing collisions and particle approximation for the Kac equation without cutoff
Kinetic Theory Kac equation grazing collisions Particle systems
2011/7/26
Abstract: The subject of this article is the Kac equation without cutoff. We first show that in the asymptotic of grazing collisions, the Kac equation can be approximated by a Fokker-Planck equation. ...
Asymptotic Analysis and Synthesis in Mechanics of Solids and Nonlinear Dynamics
Asymptotic Analysis Synthesis Mechanics of Solids Nonlinear Dynamics
2011/7/26
Asymptotic Analysis and Synthesis in Mechanics of Solids and Nonlinear Dynamics.