[PDF] Top 20 Strongly damped wave equations with Stepanov type nonlinear forcing term

... of Stepanov weighted pseudo almost automorphic functions, which is more general than the weighted pseudo almost automorphic one, was proposed by Xia and Fan in ...differential equations and integral ... See full document

... value of – on H   (), Webb first considered the asymptotic behavior of strongly damped wave equations in []. Then, in [], Carvalho et al. showed the existence of the global at- tractor for ... See full document

... the nonlinear damped wave equa- tions with ...new type of attractor, called a pullback attractor, was proposed and investigated for non-autonomous or these random dynamical ...differential ... See full document

... In addition, the study of inertial manifold is of great significance. The central idea of the methods that people use to solve practical problems such as Galerkin method, Cellular automaton and Coupled map, are to ... See full document

... [4] Ono, K. (1997) On Global Existence, Asymptotic Stability and Blowing up of Solu- tions for Some Degenerate Non-Linear Wave Equations of Kirchhoff Type with a Strong Dissipation. Mathematical ... See full document

... Ikehata, On global solutions and energy decay for the wave equations of the Kirchhoff type with nonlinear damping terms, J.. Messaoudi, Blow up in a nonlinearly damped wave equation, Mat[r] ... See full document

... ∂ − ∂ ∆ − ∆ + = ∇ ⋅ ∇ + (1.6) In bounded 3D domains. This method establishes the existence and uniqueness of energy solutions in the case where the growth exponent of the non-linearity φ is less than 6 and f may have ... See full document

... the strongly damped wave equation is considered with nonlinear damping, a nonlinear forcing term, and with a periodic boundary ... See full document

... to nonlinear wave equations with higher order dissipative ...Dirichlet-wave equations outside of a wide class of compact obstacles in the critical case where the spatial dimension is ... See full document

... by strongly damped wave equations of non-degenerate Kirchhoff type modelling the nonlinear vibrations of an elastic string, and they obtained a precise estimate of upper bound of ... See full document

... d φ θ ω t − B  θ ω − B ω → t → +∞ (4.30) which implies that { B ( ) ω } is a random compact attracting set for Φ . It follows from Equations (4.13) and (4.26) that { B ( ) ω } is tempered. Thus by Theorem 2.3, ... See full document

... two damped wave equations with differ- ent damped coefficients and establish an explicit inequality which displays continuous dependence on this ... See full document

... Liang and Gao [10] studied the global existence, decay and blow up of solution problem 1 with the absence of the dispersive term △utt and the weak damping term ut.. In this paper, under [r] ... See full document

... here and below only newly appearing types of terms are shown explicitly in the main. So far all the terms encountered are in a sense continuations of those in the bulk. We notice especially that the centrifugal ... See full document

... Equation (1.1) has its origin in the nonlinear vibrations of an elastic string (cf. Narasimha [6]). We call equation (1.1) a nondegenerate equation when α > 0 and β > 0 and a degenerate one when α = 0 and β ... See full document

... degenerates equations in divergence ...the wave equations several main parts of mathematics are joined in a fruitful way, it is very remarkable that the φ− Laplace wave equation occupies a ... See full document

... It possesses solitary waves with oscillating and decaying asymptotics which can form fairly complicated multisolitonic structures. Moreover, the Kawahara equation demonstrates important extensions of the very notion of a ... See full document

... Vortex/wave interaction, for the flow in a boundary layer, pipe or channel, for example, concerns the nonlinear interplay between the mean vortex part, comprising longitudinal or streamw[r] ... See full document

... a nonlinear interaction? This is not a trivial question because, as we have shown in this paper, the nonlinear interaction leads to a much slower decay of the PDF, with respect to the linear ...small ... See full document

... of nonlinear algebraic equations in the coefficients of the initial ...algebraic equations, if any, also determine exact solutions of the initial ODE through the assumed ... See full document