Uniform Exponential Attractors for Non-Autonomous Strongly Damped Wave Equations
نویسندگان
چکیده
منابع مشابه
Uniform Exponential Attractors for Non-Autonomous Strongly Damped Wave Equations
In this paper, we study the existence of exponential attractors for strongly damped wave equations with a time-dependent driving force. To this end, the uniform Hölder continuity is established to the variation of the process in the phase apace. In a certain parameter region, the exponential attractor is a uniformly exponentially attracting time-dependent set in the phase apace, and is finite-d...
متن کاملUniform Exponential Attractors for a Singularly Perturbed Damped Wave Equation
Our aim in this article is to construct exponential attractors for singularly perturbed damped wave equations that are continuous with respect to the perturbation parameter. The main difficulty comes from the fact that the phase spaces for the perturbed and unperturbed equations are not the same; indeed, the limit equation is a (parabolic) reaction-diffusion equation. Therefore, previous constr...
متن کاملAttractors for Strongly Damped Wave Equations with Critical Nonlinearities
In this paper we obtain global well-posedness results for the strongly damped wave equation utt + (−∆)θut = ∆u + f(u), for θ ∈ [1 2 , 1 ] , in H 0(Ω)×L(Ω) when Ω is a bounded smooth domain and the map f grows like |u|n+2 n−2 . If f = 0, then this equation generates an analytic semigroup with generator −A(θ). Special attention is devoted to the case when θ = 1 since in this case the generator −A...
متن کاملGlobal Attractors for Damped Semilinear Wave Equations
The existence of a global attractor in the natural energy space is proved for the semilinear wave equation utt + βut − ∆u + f(u) = 0 on a bounded domain Ω ⊂ R with Dirichlet boundary conditions. The nonlinear term f is supposed to satisfy an exponential growth condition for n = 2, and for n ≥ 3 the growth condition |f(u)| ≤ c0(|u|γ + 1), where 1 ≤ γ ≤ n n−2 . No Lipschitz condition on f is assu...
متن کاملUniform attractors for non-autonomous suspension bridge-type equations
We discuss the long-time dynamical behavior of the non-autonomous suspension bridge-type equation, where the nonlinearity g(u, t) is translation compact and the time-dependent external forces h(x, t) only satisfy Condition (C∗) instead of being translation compact. By applying some new results and the energy estimate technique, the existence of uniform attractors is obtained. The result improve...
متن کاملذخیره در منابع من
با ذخیره ی این منبع در منابع من، دسترسی به آن را برای استفاده های بعدی آسان تر کنید
ژورنال
عنوان ژورنال: Journal of Applied Mathematics and Physics
سال: 2014
ISSN: 2327-4352,2327-4379
DOI: 10.4236/jamp.2014.28086