[PDF] Top 20 Decay of solutions of a system of nonlinear Klein Gordon equations

... UoX,t, VoX,t be solutions of the free Klein-Gordon equations ] vo +oav o =0 respectively with initial data at time t=0 so that.. The proof is done by induction.[r] ... See full document

... In this paper we study the existence of weak solutions of problem 1.1-1.3 and the decay of weak solutions for the system 1.1 perturbed by the dissipative term u Under the hypothesis that[r] ... See full document

... the equations, they established several results concerning local existence, glo- bal existence, uniqueness, and finite time blow-up (the initial energy E(0) < 0) ...certain solutions with positive ... See full document

... of solutions in a Hilbert space of data with finite energy by means of semigroup ...no decay rate was given ...energy decay problem with acoustic boundary conditions was studied by a few ... See full document

... Differential equations and nonlinear mechanics very recently, Song and Zhang [] solved the fractional KdV-Burgers-Kuramoto equation us- ing ...solved nonlinear Riccati differential equations ... See full document

... a system of a nonlinear Klein–Gordon equation cou- pled with Maxwell’s equation in presence of a positive ...state solutions [5, 6], semiclassical states [7], nonradial solutions ... See full document

... exact solutions of the perturbed nonlinear Klein-Gordon ...The nonlinear Klein-Gordon equation is used to model many nonlinear ...differential equations. We ... See full document

... over-determined system that consists of twenty-five algebraic equations (we omitted these for ...over-determined system with the assist of Maple, we have the following ... See full document

... dimensional system like biological macromolecules and hydrogen chains, or polymers, ...localized solutions so-called ”kinks” which are related to the motion of the aforementioned topological excitations, ... See full document

... Telegraph equations that de- scribes wave propagation in electric signal in cable transmission and Klein-Gordon ...solve nonlinear partial differential ... See full document

... A Klein–Gordon–Maxwell system arises in a very interesting physical context: a model describing the nonlinear Klein–Gordon field interacting with the electromagnetic field (for ... See full document

... the Klein-Gordon equation is of high impor- tance for mixed scalar and vector ...the Klein-Gordon for a num- ber of special potential has been of great interests in the recent ...The ... See full document

... smooth solutions via the so-called continuous method and delicate a priori estimates and studied the asymptotic behavior of the ...the Klein-Gordon-Zakharov system []. Some exact ... See full document

... wave solutions of the nonlinear partial Klien-Gordon differential equations by means of hyperbolic and trigonometric function ...exact solutions and solitary wave solutions ... See full document

... more nonlinear equations, a one- dimensional (1D) lattice Boltzmann scheme with an amending function for the nonlinear Klein-Gordon equation is ...the nonlinear ... See full document

... the Nonlinear Klein-Gordon equa- tion are all studied extensively in an assortment of ...for Nonlinear Klein-Gordon Equations, a number of methods have been devised, some ... See full document

... two solutions in the radically symmetric function space by using the mountain pass theorem and Ekeland’s variational principle for the nonhomogeneous ...above system has at least a radially symmetric ... See full document

... Dissipative Klein-Gordon-like equations appear in areas of physics as diverse as superconductivity, statistical mechanics and wave ...exact solutions for these equations, it is ... See full document

... these equations do not have exact solutions, so for solving them numeri- cal and approximative methods must be ...numerical solutions of fractional ordinary differential equations, which are ... See full document

... In recent decades, much attention has been paid to the existence of random attractor for stochastic partial differential equations. To the authors’ knowledge, Crauel and Flandoli [] and Flandoli and Schmalfuß [] ... See full document