Asymptotic Behavior of Wave Equation of Kirchhoff Type with Strong Damping

Asymptotic Behavior of Wave Equation of Kirchhoff Type with Strong Damping

Year:    2017

Author:    Zhihua Song, Yuanyuan Zhang

Annals of Applied Mathematics, Vol. 33 (2017), Iss. 1 : pp. 50–62

Abstract

The paper deals with the strongly damped nonlinear wave equation of Kirchhoff type. The existence of a global attractor is proven by using the decomposition, and moreover, the structure of the global attractor is established. Our results improve the previous results.

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Journal Article Details

Publisher Name:    Global Science Press

Language:    English

DOI:    https://doi.org/2017-AAM-20594

Annals of Applied Mathematics, Vol. 33 (2017), Iss. 1 : pp. 50–62

Published online:    2017-01

AMS Subject Headings:    Global Science Press

Copyright:    COPYRIGHT: © Global Science Press

Pages:    13

Keywords:    wave equations global attractors critical nonlinearity.

Author Details

Zhihua Song

Yuanyuan Zhang