Exponential Attractor for the Boussinesq Equation with Strong Damping and Clamped Boundary Condition
Joint Authors
Geng, Fan
Li, Ruizhai
Zhang, Xiaojun
Ge, Xiangyu
Source
Discrete Dynamics in Nature and Society
Issue
Vol. 2016, Issue 2016 (31 Dec. 2016), pp.1-11, 11 p.
Publisher
Hindawi Publishing Corporation
Publication Date
2016-03-10
Country of Publication
Egypt
No. of Pages
11
Main Subjects
Abstract EN
The paper studies the existence of exponential attractor for the Boussinesq equation with strong damping and clamped boundary condition u t t - Δ u + Δ 2 u - Δ u t - Δ g ( u ) = f ( x ) .
The main result is concerned with nonlinearities g ( u ) with supercritical growth.
In that case, we construct a bounded absorbing set with further regularity and obtain quasi-stability estimates.
Then the exponential attractor is established in natural energy space V 2 × H .
American Psychological Association (APA)
Geng, Fan& Li, Ruizhai& Zhang, Xiaojun& Ge, Xiangyu. 2016. Exponential Attractor for the Boussinesq Equation with Strong Damping and Clamped Boundary Condition. Discrete Dynamics in Nature and Society،Vol. 2016, no. 2016, pp.1-11.
https://search.emarefa.net/detail/BIM-1103474
Modern Language Association (MLA)
Geng, Fan…[et al.]. Exponential Attractor for the Boussinesq Equation with Strong Damping and Clamped Boundary Condition. Discrete Dynamics in Nature and Society No. 2016 (2016), pp.1-11.
https://search.emarefa.net/detail/BIM-1103474
American Medical Association (AMA)
Geng, Fan& Li, Ruizhai& Zhang, Xiaojun& Ge, Xiangyu. Exponential Attractor for the Boussinesq Equation with Strong Damping and Clamped Boundary Condition. Discrete Dynamics in Nature and Society. 2016. Vol. 2016, no. 2016, pp.1-11.
https://search.emarefa.net/detail/BIM-1103474
Data Type
Journal Articles
Language
English
Notes
Includes bibliographical references
Record ID
BIM-1103474
