搜索结果: 1-15 共查到“数学物理 n equation”相关记录96条 . 查询时间(0.14 秒)
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...
A Second Order Finite Difference-Spectral Method for Space Fractional Diffusion Equation
A Second Order Finite Difference-Spectral Method Space Fractional Diffusion Equation
2012/8/7
A high order finite difference-spectral method is derived for solving space fractional diffusion equations, by combining the second order finite difference method in time and the spectral Galerkin met...
A Family of Exact, Analytic Time Dependent Wave Packet Solutions to a Nonlinear Schroedinger Equation
A Family of Exact Analytic Time Dependent Packet Solutions Nonlinear Schroedinger Equation Mathematical Physics
2012/6/19
We obtain time dependent $q$-Gaussian wave-packet solutions to a non linear Schr\"odinger equation recently advanced by Nobre, Rego-Montero and Tsallis (NRT) [Phys. Rev. Lett. 106 (2011) 10601]. The N...
Relativistic point dynamics and Einstein formula as a property of localized solutions of a nonlinear Klein-Gordon equation
Relativistic point dynamics Einstein formula nonlinear Klein-Gordon equation Mathematical Physics
2012/6/15
Einstein's relation E=Mc^2 between the energy E and the mass M is the cornerstone of the relativity theory. This relation is often derived in a context of the relativistic theory for closed systems wh...
Huygens' Principle for the Klein-Gordon equation in the de Sitter spacetime
Huygens’ Principle Klein-Gordon Equation de Sitter spacetime Higuchi Bound
2012/6/14
In this article we prove that the Klein-Gordon equation in the de Sitter spacetime obeys the Huygens' principle if and only if the physical mass $m$ of the scalar field and the dimension $n$ of the sp...
Towards an ultra efficient kinetic scheme. Part I: basics on the BGK equation
Kinetic equations discrete velocity models semi Lagrangian schemes Boltzmann-BGK equation 3D simulation
2012/4/16
In this paper we present a new ultra efficient numerical method for solving kinetic equations. In this preliminary work, we present the scheme in the case of the BGK relaxation operator. The scheme, b...
Special solutions to a compact equation for deep-water gravity waves
Special solutions compact equation deep-water gravity waves Classical Physics
2012/4/24
Recently, Dyachenko & Zakharov (2011) have derived a compact form of the well known Zakharov integro-differential equation for the third order Hamiltonian dynamics of a potential flow of an incompress...
Pade interpolation for elliptic Painleve equation
Pade interpolation elliptic Painleve equation Mathematical Physics
2012/4/17
An interpolation problem related to the elliptic Painlev\'e equation is formulated and solved. A simple form of the elliptic Painlev\'e equation and the Lax pair are obtained. Explicit determinant for...
On the Rigorous Derivation of the 3D Cubic Nonlinear Schr鰀inger Equation with A Switchable Quadratic Trap
Gross-Pitaevskii Hierarchy Switchable Quadratic Trap Collapsing Estimate Klainerman-Machedon Board Game and Space-time Bound
2012/4/17
We consider the dynamics of the 3D N-body Schr\"odinger equation in the presence of a switchable quadratic trap. We assume the pair interaction potential is N^{3{\beta}-1}V(N^{{\beta}}x). We justify t...
Inverse scattering transform for the Degasperis-Procesi equation: a Riemann-Hilbert approach
Degasperis–Procesi equation Camassa–Holm equation inverse scattering trans-form Riemann–Hilbert problem asymptotics
2011/10/10
Abstract: We present the inverse scattering transform approach to the Cauchy problem on the line for the Degasperis-Procesi equation $u_{txx}-2u_x+2u_xu_{xx}+uu_{xxx}=0$ in the form of an associated R...
A derivation of the Breit equation from Barut's covariant formulation of electrodynamics in terms of direct interactions
Breit equation Barut's covariant formulation Quantum Physics High Energy Physics - Theory
2011/10/10
Abstract: We study Barut's covariant equations describing the electromagnetic interactions between N spin-1/2 particles. In the covariant formulation each particle is described by a Dirac spinor. It i...
On Rigorous Derivation of the Enskog Kinetic Equation
BBGKY hierarchy Enskog equation kinetic cluster expansion scattering cumulant hard spheres
2011/9/22
Abstract: We develop a rigorous formalism for the description of the kinetic evolution of infinitely many hard spheres. On the basis of the kinetic cluster expansions of cumulants of groups of operato...
Newtonian limit and trend to equilibrium for the relativistic Fokker-Planck equation
Relativistic Fokker-Planck equation Newtonian limit Trend to equilibrium
2011/9/21
Abstract: The relativistic Fokker-Planck equation, in which the speed of light $c$ appears as a parameter, is considered. It is shown that in the limit $c\to\infty$ its solutions converge in $L^1$ to ...
On the linear forms of the Schrodinger equation
Schrodinger equation linear forms Quantum Physics
2011/10/9
Abstract: Generalizing the linearisation procedure used by Dirac and later by L\'evy-Leblond, we derive the first-order non-relativistic wave equations for particles of spin 1 and spin 3/2 starting fr...
Global Uniqueness for an Inverse Stochastic Hyperbolic Equation with Three Unknowns
Global uniqueness inverse stochastic hyperbolic equation Carleman estimate three unknowns
2011/9/13
Abstract: This paper is addressed to an inverse stochastic hyperbolic equation with three unknowns, i.e., a source term, an initial displacement and an initial velocity. The global uniqueness is prove...