Global Existence and Energy Decay Rates for a Kirchhoff-Type Wave Equation with Nonlinear Dissipation
Joint Authors
Kim, Daewook
Kim, Dojin
Hong, Keum-Shik
Jung, Il Hyo
Source
Issue
Vol. 2014, Issue 2014 (31 Dec. 2014), pp.1-10, 10 p.
Publisher
Hindawi Publishing Corporation
Publication Date
2014-04-07
Country of Publication
Egypt
No. of Pages
10
Main Subjects
Medicine
Information Technology and Computer Science
Abstract EN
The first objective of this paper is to prove the existence and uniqueness ofglobal solutions for a Kirchhoff-type wave equation with nonlinear dissipationof the form Ku′′+MA1/2u2Au+gu′=0 under suitable assumptions on K,A,M(·), and g(·).
Next, we derive decay estimates of the energy under some growth conditions on the nonlinear dissipation g.
Lastly, numerical simulations in order to verify the analytical results are given.
American Psychological Association (APA)
Kim, Daewook& Kim, Dojin& Hong, Keum-Shik& Jung, Il Hyo. 2014. Global Existence and Energy Decay Rates for a Kirchhoff-Type Wave Equation with Nonlinear Dissipation. The Scientific World Journal،Vol. 2014, no. 2014, pp.1-10.
https://search.emarefa.net/detail/BIM-1050737
Modern Language Association (MLA)
Kim, Daewook…[et al.]. Global Existence and Energy Decay Rates for a Kirchhoff-Type Wave Equation with Nonlinear Dissipation. The Scientific World Journal No. 2014 (2014), pp.1-10.
https://search.emarefa.net/detail/BIM-1050737
American Medical Association (AMA)
Kim, Daewook& Kim, Dojin& Hong, Keum-Shik& Jung, Il Hyo. Global Existence and Energy Decay Rates for a Kirchhoff-Type Wave Equation with Nonlinear Dissipation. The Scientific World Journal. 2014. Vol. 2014, no. 2014, pp.1-10.
https://search.emarefa.net/detail/BIM-1050737
Data Type
Journal Articles
Language
English
Notes
Includes bibliographical references
Record ID
BIM-1050737
