搜索结果: 1-15 共查到“理学 Klein-Gordon”相关记录48条 . 查询时间(0.109 秒)
Academy of Mathematics and Systems Science, CAS Colloquia & Seminars：Dynamics of multi-solitons to Klein-Gordon equations
多孤子 克莱因-戈登方程 动力学
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2023/4/21
I will report my recent joint work with Jacek Jendrej on muti-solitons to the Klein-Gordon equations including their asymptotic stability and classification.
Academy of Mathematics and Systems Science, CAS Colloquia & Seminars：Nonrelativistic limit of the Klein-Gordon equations: convergence rates and long time approximations
克莱因-戈登方程 非相对论极限 收敛率 长时间近似
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2023/4/18
We study the nonrelativistic limit of the cubic Klein-Gordon equations. We show the cubic Klein-Gordon equation converges to the cubic Schr\"odinger equation with a convergence rate of order $\epsilon...
GLOBAL SOLUTIONS OF QUASILINEAR SYSTEMS OF KLEIN–GORDON EQUATIONS IN 3D
GLOBAL SOLUTIONS QUASILINEAR SYSTEMS KLEIN–GORDON EQUATIONS 3D
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2014/4/3
We prove small data global existence and scattering for quasilinear systems of Klein-Gordon equations with different speeds, in dimension three. As an application, we obtain a robust global stab...
Classical Conservative Properties of Five Difference Schemes for Coupled Klein-Gordon-Schr ?dinger Equations
Klein-Gordon-Schr膐dinger equations difference schemes conservation
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2012/8/7
In this paper we compare the classical conservative properties of 痸e
di甧rence schemes applied to the coupled Klein-Gordon-Schr膐dinger equations in the
quantum physics, and investigate the numerical ...
Error Anal Ysis of Some MultiI-Symplectic Scheme for Klein-Gordon-SchringerEquation
Error analysis conservation laws multi-symplectic scheme Klein-Gordon-Schr膐dinger equation.
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2012/8/7
In this paper, we study the multi-symplectic method for the Klein-
Gordon-Schr膐dinger equation. Besides conserving the multi-symplectic structure of
the equation, the multi-symplectic method is also...
Subcritical and supercritical Klein-Gordon-Maxwell equations without Ambrosetti-Rabinowitz condition
Klein-Gordon-Maxwell equations Ambrosetti-Rabinowitz condition Analysis of PDEs
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2012/6/19
In this article we present some results on the existence of positive and ground state solutions for the nonlinear Klein-Gordon-Maxwell equations. We introduce a general nonlinearity with subcritical a...
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
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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
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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...
（n+1）维耦合非线性Klein-Gordon方程组的行波解
孤立波解 周期波解 扭波及反扭波解 动力系统理论
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2011/10/20
利用动力系统方法，研究了一类（n+1）维耦合非线性Klein-Gordon方程组的行波解,获得了其包含孤立波、周期波、扭波及反扭波解等形式行波解的精确显式表达式，并给出了其存在的参数条件。
Global existence of small amplitude solution to nonlinear system of wave and Klein-Gordon equations in four space-time dimensions
Global existence nonlinear system wave and Klein-Gordon equations four space-time dimensions
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2011/9/14
Abstract: In this article one will develop a so-called hyperboloidal foliation method, which is an energy method based on a foliation of space-time into hyperboloidal hypersurfaces. This method permit...
Dynamics near the threshold for blowup in the one-dimensional focusing nonlinear Klein-Gordon equation
threshold for blowup one-dimensional nonlinear Klein-Gordon equation
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2011/1/18
We study dynamics near the threshold for blowup in the focusing nonlinear Klein-Gordon equa-
tion utt −uxx +u−|u|2 u = 0 on the line. Using mixed numerical and analytical methods we find
...
Riemannian $\mathbf{(1+d)}$-Dim Space-Time Manifolds with Nonstandard Topology which Admit Dimensional Reduction to Any Lower Dimension and Transformation of the Klein-Gordon Equation to the $\mathbf{1}$-Dim Schrödinger Like Equation
Riemannian $\mathbf{(1+d)}$-Dim Space-Time Manifolds Nonstandard Topology Any Lower Dimension Transformation of the Klein-Gordon Equation $\mathbf{1}$-Dim Schrö dinger Like Equation
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2011/2/21
This rather technical paper presents some generalization of the results of recent publications [1–3]where toy models of dimensional reduction of space-time were considered.
Semiclassical limit for the nonlinear Klein Gordon equation in bounded domains
Klein Gordon Equation Semiclassical Limit Variational Methods Nonlinear Equations
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2011/2/28
We are interested to the existence of standing waves for the nonlinear Klein Gordon equation "2 + W′( ) = 0 in a bounded domain D.
Existence and a priori bounds for electrostatic Klein-Gordon-Maxwell systems in fully inhomogeneous spaces
Existence electrostatic Klein-Gordon-Maxwell systems fully inhomogeneous spaces
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2011/2/22
We prove existence and uniform bounds for electrostatic Klein-Gordon-Maxwell systems in the inhomogeneous context of a compact Riemannian manifold when the mass potential, balanced by the phase, is sm...
A variational iterative method for solving the linear and nonlinear Klein-Gordon equations
Variational iterative method Linear and Nonlinear Klein-Gordon equations
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2010/9/26
In this article, variational iterative method (VIM) is presented as an alternative method for solving the linear and nonlinear Klein Gordon equations. The method is demonstrated by several physical mo...