Coupled klein-gordon

Author: cftk

August undefined, 2024

WebSep 30, 2024 · Exponential stability for the coupled Klein-Gordon-Schrödinger equations with locally distributed damping. Department of Mathematics, State University of Maringa, Maringa, 87020-900, Brazil. * Research partially supported by the CNPq grant 300631/2003-0. i ψ t + Δ ψ + i α b ( x) ( ψ 2 + 1) ψ = ϕ ψ χ ω in Ω × ( 0, ∞), ( α > 0 ... Webnonlinear coupled Klein-Gordon equation (Taghi zadeh 2011). The main advantage of the . method is the fact that it provides its user with an analytical approxi mation, in many cases an .

Exponential stability for the coupled Klein-Gordon-Schrödinger ...

WebMay 8, 2004 · The existence of infinitely many non–trivial radially symmetric solitary waves for the nonlinear Klein—Gordon equation, coupled with a Born—Infeld–type equation, is established under general assumptions. View on Royal Society cvgmt.sns.it Save to LibrarySave Create AlertAlert Cite Share This Paper 33 Citations Highly Influential … WebNov 3, 2024 · Lastly, in the authors investigate the low regularity local and global well-posedness of the Cauchy problem for a coupled Klein–Gordon–Schrödinger system with fractional Laplacian in the Schrödinger equation and a right hand side of \( u ^{2}\) for the wave equation in \(R^{1+1.}\) promotion dyson v11

A series of new explicit exact solutions for the coupled Klein–Gordon ...

WebJul 16, 2004 · Coupled Klein-Gordon-Maxwell equations311 NOTATIONS • Lp≡ Lp(R3) (1 ≤ p<+∞) is the usual Lebesgue space endowed with the norm kukp p:= Z R3 u pdx; • H1≡ H1(R3) denotes the usual Sobolev space... WebOct 12, 2024 · We construct three efficient and accurate numerical methods for solving the Klein–Gordon–Schrödinger (KGS) equations with/without damping terms. The first one is based on the original SAV approach, it preserves a modified Hamiltonian but does not preserve the wave energy. WebIn this paper, we study the nonlinear Klein-Gordon equation coupled with a Maxwell equation. Using the energy method, we obtain a local existence result for the Cauchy problem. (C) 2016 Elsevier Inc. promotion duration in cts

High-Order Lagrange Multiplier Method for the Coupled Klein-Gordon …

A hybrid method based on the Chebyshev cardinal …

WebAug 29, 2024 · The numerical solution of coupled nonlinear Klein-Gordon equations on … WebMar 24, 2024 · Recently, a time-splitting Fourier pseudo-spectral (TSFP) scheme for solving numerically the Klein–Gordon–Dirac equation (KGDE) has been proposed (Yi et al., 2024). However, that paper only gives numerical experiments and lacks rigorous convergence analysis and error estimates for the scheme. promotion east 賃貸WebMar 20, 2024 · The coupled Klein-Gordon like equations become coupled damped Klein-Gordon equations or telegraph equations or wave equations at a certain parameter value. The system is reduced to a discrete iteration of a 2D map which is different from the unary map induced by the non-coupled hyperbolic PDEs. labour force survey by industry

"WebAbstract. In this paper, the Chebyshev cardinal functions together with the extended … " - Coupled klein-gordon

Coupled klein-gordon

High-order conservative energy quadratization schemes …

WebWe present linear stability result for periodic standing wave solutions for the Klein–Gordon equation. We find conditions on parameters of the waves which imply linear stability and instabilty of per WebA. 14 The Klein-Gordon equation. The Schrödinger equation for the quantum wave …

Did you know?

WebIn the case of relativistic fields, that is, when nucleons are described by Dirac spinor … WebFeb 23, 2024 · In this work, a novel class of high-order energy-preserving algorithms are developed for simulating the coupled Klein-Gordon-Schr\"{o}dinger equations. We introduce a Lagrange multiplier approach and derive a new system which warrants exactly the original total energy, instead of the modified quadratic energy in the previous energy ...

WebNov 15, 1978 · ON COUPLED K-G-S EQUATIONS 359 Both Klein-Gordon-Dirac equations and Klein-Gordon-Schrodinger equa- tions have energy forms indefinite in nature, which prevents us from discovering unified treatments for studying these equations. Web2. I've calculated the trace of the stress-energy for a massless KG field and I keep getting T = − ( ∂ ϕ) 2 in 3+1 dimensions. I'm using. T μ ν = ∂ μ ϕ ∂ ν ϕ − 1 2 g μ ν ( ∂ ϕ) 2. Since g μ ν g μ ν = 4, the second term is double the first. On the other hand, David Tong's notes suggest that massless KG is a conformal ...

WebOct 15, 2024 · Using the hyperboloidal foliation method, we establish stability results for a coupled wave-Klein-Gordon system with quadratic nonlinearities. In particular, we investigate quadratic wave-Klein-Gordon interactions in which there are no derivatives on the massless wave component. WebMay 28, 2010 · Download PDF Abstract: Consider, in dimension 3, a system of coupled …

WebSep 9, 2024 · On the Orbital Stability of Standing-Wave Solutions to a Coupled Non-Linear Klein-Gordon Equation. Daniele Garrisi; Mathematics, Physics. 2010; Abstract We show the existence of standing-wave solutions to a coupled non-linear Klein-Gordon equation. Our solutions are obtained as minimizers of the energy under a two-charges constraint.

WebThe solitary wave solutions for the Klein-Gordon-Schrödinger Equations were obtained by using the homogeneous balance principle. The form of the solutions is more generalized than the result that has been proved by pure theoretical and qualitative method in literature; namely, the form of solutions in literature is a particular case of result of the present paper. promotion dry cleaningWebThe Klein-Gordon - Schroedinger system with Yukawa coupling is shown to have a unique global solution for rough data, which not necessarily have finite energy. The proof uses a generalized bilinear estimate of Strichartz type and Bourgain's idea to split the data into low and high frequency parts. View PDF on arXiv. labour force survey pakistanWebNov 25, 2024 · The Einstein-Klein-Gordon coupled system: global stability of the Minkowski solution. We prove definitive results on the global stability of the flat space among solutions of the Einstein-Klein-Gordon system. Our main theorems in this monograph include: (1) A proof of global regularity (in wave coordinates) of solutions of the Einstein … labour force survey measureWebBased on these noncommutative relations, we give the Klein-Gordon (KG) equation and its corresponding current continuity equation in the noncommutative phase space including the canonical and Hamiltonian forms and their novel properties beyond the conventional KG equation. ... There does not exist a coupled constant between the effective gauge ... labour force survey nova scotiaWebJun 21, 2024 · In this paper, we design two classes of high-accuracy conservative … promotion eastWebMar 19, 2024 · We discuss the mechanism of spontaneous symmetry breaking and the elementary excitations for a weakly-interacting Bose gas at finite temperature. We consider both the non-relativistic case, described by the Gross-Pitaevskii equation, and the relativistic one, described by the cubic nonlinear Klein-Gordon equation. We analyze similarities … promotion echelon education nationaleWebAug 1, 2004 · The coupled nonlinear Klein–Gordon equations are analyzed for their integrability properties in a systematic manner through Painlev e test. From the Painlev e test, by truncating the Laurent... labour force survey pakistan 2022