[PDF] Top 20 On a nonlinear degenerate evolution equation with strong damping

... Global Solvability of Boundary Value Problem for a Class of Quasilinear Hyperbolic Equations, Sib.. On The Strongly Damped Wave Equation u" Au Au’ + Fu O, SIAMJ.[r] ... See full document

... The evolution of modulational instability, or Benjamin-Feir instability is investigated within the framework of the two-dimensional fully nonlinear potential equations, modified to include wind forcing and ... See full document

... linear damping ( m = 2 ) and nonlinear source has been first considered by Levine [7] ...the nonlinear damping ( m > 2 ) and the source terms was stu- died by Georgiev and Todorova [9], for ... See full document

... This paper is concerned with the Cauchy problem of nonlinear wave equations with potential, strong, and nonlinear damping terms. Firstly, by using variational calculus and compactness lemma, ... See full document

... not difficult to check that the function F( · , ω) : E → E is locally Lipschitz continuous with respect to ϕ and bounded for every ω ∈ . By the classical semigroup theory of existence and uniqueness of solutions of ... See full document

... u u ρ − ∆ − ∆ + ∗ ∆ = u u g u b u − u (1.12) with Dirichlet boundary condition, where γ ≥ 0, , ρ b > 0, p > 2 are constants. In the case b = 0 in (1.12), Messaoudi and Tatar [22] proved the exponential decay of ... See full document

... wave equation with dynamic boundary ...the strong damping term u t and the nonlinear dissipative damping term h(u t ) play a dissipative or ... See full document

... solution to 1.1 if and only if u has the form 1.3. We also remark that the self-similar solutions play an important role in the study of large time behaviors of general solutions see 3–5,and the evolution of ... See full document

... The system (.) was originally proposed by Hsieh in [] to observe the nonlinear in- teraction between ellipticity and dissipation. In [], Hsieh et al. established a link between this interaction and chaos. We ... See full document

... the nonlinear beam equations of the type ...or nonlinear evolution equation with dynamic damping term, see [1–6, ...material damping and internal dynamic damping at the ... See full document

... abstract evolution equa- tion damped by a nonlinear and nonmonotone feedback [12, ...some evolution equations of second order for which strong compactness of trajectories is unknown while weak ... See full document

... The investigation of nonexistence and existence of global solutions to evolution equa- tions has a long history, We refer the reader to the surveys [–]. There are more recent contributions to the discussion of ... See full document

... Concerning decay properties of solutions, Nakao [] has derived decay estimates from above of solutions when f (u) =  in (.). Later, Nishihara [] established a decay estimate from below of the potential of solutions ... See full document

... Abstract In this paper, firstly, some priori estimates are obtained for the existence and uniqueness of solutions of a nonlinear viscoelastic wave equation with strong damping, linear da[r] ... See full document

... of strong solutions of wave equation (1.1) with a nonlinear boundary damping of memory type and a nonlinear boundary source when l(t) = ... See full document

... This article is concerned with the decay and blow-up properties of a nonlinear viscoelastic wave equation with strong damping. We first show a local existence theorem. Then, we prove the global ... See full document

... R with the smooth boundary ∂Ω , σ ( ) s , φ ( ) s and f s ( ) are nonlinear functions, and h x ( ) is an external force term. They prove that in strictly positive stiffness factors and supercritical nonlinearity ... See full document

... Kirchhoff equation with strong damping of white noise, nonlinear and non-local source terms and the existence of attractors of stochas- tic Kirchhoff equation are ... See full document

... where D is a bounded domain in R n (n ≥ 1) with a smooth boundary ∂D, and ρ, b > 0, p > 2 are constants. The author investigated the general solution and blow-up solutions for this problem. Also, Song [4] studied ... See full document

... the degenerate Daehee number arising from a nonlinear differential ...of degenerate Daehee numbers from the inversion formula of (Kim and Kim in ...and nonlinear differential ... See full document