Global attractor for damped abstract nonlinear hyperbolic systems

نویسندگان

چکیده

برای دانلود باید عضویت طلایی داشته باشید

برای دانلود متن کامل این مقاله و بیش از 32 میلیون مقاله دیگر ابتدا ثبت نام کنید

اگر عضو سایت هستید لطفا وارد حساب کاربری خود شوید

منابع مشابه

Global Attractor for Damped Wave Equations with Nonlinear Memory

Let Ω ⊂ R be a bounded domain with a smooth boundary. We consider the longtime dynamics of a class of damped wave equations with a nonlinear memory term

متن کامل

Global attractor for a nonlocal hyperbolic problem on ${mathcal{R}}^{N}$

We consider the quasilinear Kirchhoff's problem$$ u_{tt}-phi (x)||nabla u(t)||^{2}Delta u+f(u)=0 ,;; x in {mathcal{R}}^{N}, ;; t geq 0,$$with the initial conditions  $ u(x,0) = u_0 (x)$  and $u_t(x,0) = u_1 (x)$, in the case where $N geq 3, ;  f(u)=|u|^{a}u$ and $(phi (x))^{-1} in L^{N/2}({mathcal{R}}^{N})cap L^{infty}({mathcal{R}}^{N} )$ is a positive function. The purpose of our work is to ...

متن کامل

A note on the dimension of the global attractor for an abstract semilinear hyperbolic problem

We study a semilinear hyperbolic problem, written as a second order evolution equation in an infinite-dimensional Hilbert space. Assuming existence of the global attractor, we estimate its fractal dimension explicitly in terms of the data. Despite its elementary character, our technique gives reasonable results. Notably, we require no additional regularity, although the nonlinear damping is all...

متن کامل

Regularity of the global attractor for semilinear damped wave equations

utt + 2ηA 1 2 ut + aut + Au = f(u) in H1 0 (Ω)×L2(Ω), where Ω is a bounded smooth domain in R3. For dissipative nonlinearity f ∈ C2(R,R) satisfying |f ′′(s)| ≤ c(1 + |s|) with some c > 0, we prove that the family of attractors {Aη , η ≥ 0} is upper semicontinuous at η = 0 in H1+s(Ω)×Hs(Ω) for any s ∈ (0, 1). For dissipative f ∈ C3(R,R) satisfying lim|s|→∞ f ′′(s) s = 0 we prove that the attract...

متن کامل

Global Attractor of the Weakly Damped Wave Equation with Nonlinear Boundary Conditions

In this paper, the main purpose is to study existence of the global attractors for the weakly damped wave equation with nonlinear boundary conditions. To this end, we first show that the existence of a bounded absorbing set by the perturbed energy method. Secondly, we utilize the decomposition of the solution operator to verify the asymptotic compactness.

متن کامل

ذخیره 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: Nonlinear Analysis: Theory, Methods & Applications

سال: 2003

ISSN: 0362-546X

DOI: 10.1016/s0362-546x(02)00264-x