✦ LIBER ✦

Global and exponential attractors for 3-D wave equations with displacement dependent damping

✍ Scribed by Vittorino Pata; Sergey Zelik

Publisher: John Wiley and Sons
Year: 2006
Tongue: English
Weight: 155 KB
Volume: 29
Category: Article
ISSN: 0170-4214
DOI: 10.1002/mma.726

No coin nor oath required. For personal study only.

✦ Synopsis

Abstract

A weakly damped wave equation in the three‐dimensional (3‐D) space with a damping coefficient depending on the displacement is studied. This equation is shown to generate a dissipative semigroup in the energy phase space, which possesses finite‐dimensional global and exponential attractors in a slightly weaker topology. Copyright © 2006 John Wiley & Sons, Ltd.

📜 SIMILAR VOLUMES

Global attractors for 2-D wave equations

Global attractors for 2-D wave equations with displacement-dependent damping

✍ A. Kh. Khanmamedov 📂 Article 📅 2009 🏛 John Wiley and Sons 🌐 English ⚖ 177 KB

## Communicated by M. A. Efendiev In this paper the long-time behaviour of the solutions of 2-D wave equation with a damping coefficient depending on the displacement is studied. It is shown that the semigroup generated by this equation possesses a global attractor in H 1 0 ( )×L 2 ( ) and H 2 ( )

Global Attractors for Semilinear Damped

Global Attractors for Semilinear Damped Wave Equations with Supercritical Exponent

✍ E. Feireisl 📂 Article 📅 1995 🏛 Elsevier Science 🌐 English ⚖ 400 KB

Attractors for a damped wave equation on

Attractors for a damped wave equation on ℝ3 with linear memory

✍ Vittorino Pata 📂 Article 📅 2000 🏛 John Wiley and Sons 🌐 English ⚖ 164 KB 👁 1 views

A damped semilinear hyperbolic equation on 1 with linear memory is considered in a history space setting. Viewing the past history of the displacement as a variable of the system, it is possible to express the solution in terms of a strongly continuous process of continuous operators on a suitable H

Well-posedness for the 2-D damped wave e

Well-posedness for the 2-D damped wave equations with exponential source terms

✍ Xiaosen Han; Mingxin Wang 📂 Article 📅 2010 🏛 John Wiley and Sons 🌐 English ⚖ 213 KB

## Communicated by P. Sacks In this paper we study well-posedness of the damped nonlinear wave equation in X×(0, ∞) with initial and Dirichlet boundary condition, where X is a bounded domain in R 2 ; x ≥ 0, xk 1 +l>0 with k 1 being the first eigenvalue of -D under zero boundary condition. Under t

Global attractor for an extensible beam

Global attractor for an extensible beam equation with localized nonlinear damping and linear memory

✍ Jum-Ran Kang 📂 Article 📅 2011 🏛 John Wiley and Sons 🌐 English ⚖ 170 KB

## Communicated by J. Muñoz Rivera In this paper, we study the existence of global attractors for the extensible beam equation with localized nonlinear damping and linear memory.

Global existence and nonexistence for a

Global existence and nonexistence for a nonlinear wave equation with damping and source terms

✍ Yong Zhou 📂 Article 📅 2005 🏛 John Wiley and Sons 🌐 English ⚖ 209 KB

## Abstract In this paper we consider a nonlinear wave equation with damping and source term on the whole space. For linear damping case, we show that the solution blows up in finite time even for vanishing initial energy. The criteria to guarantee blowup of solutions with positive initial energy a