Boundary Effect on Asymptotic Behavior of Solutions to the p-System with Time-Dependent Damping
Joint Authors
Duan, Ran
Jiang, Mina
Zhang, Yinghui
Source
Advances in Mathematical Physics
Issue
Vol. 2020, Issue 2020 (31 Dec. 2020), pp.1-17, 17 p.
Publisher
Hindawi Publishing Corporation
Publication Date
2020-01-17
Country of Publication
Egypt
No. of Pages
17
Main Subjects
Abstract EN
In this paper, we consider the asymptotic behavior of solutions to the p-system with time-dependent damping on the half-line R + = 0,+∞ , v t − u x =0, u t +p v x =− α/ 1+t λ u with the Dirichlet boundary condition u x=0 =0, in particular, including the constant and nonconstant coefficient damping.
The initial data v 0 , u 0 x have the constant state v + , u + at x=+∞.
We prove that the solutions time-asymptotically converge to v + ,0 as t tends to infinity.
Compared with previous results about the p-system with constant coefficient damping, we obtain a general result when the initial perturbation belongs to H 3 R + × H 2 R + .
Our proof is based on the time-weighted energy method.
American Psychological Association (APA)
Duan, Ran& Jiang, Mina& Zhang, Yinghui. 2020. Boundary Effect on Asymptotic Behavior of Solutions to the p-System with Time-Dependent Damping. Advances in Mathematical Physics،Vol. 2020, no. 2020, pp.1-17.
https://search.emarefa.net/detail/BIM-1127348
Modern Language Association (MLA)
Duan, Ran…[et al.]. Boundary Effect on Asymptotic Behavior of Solutions to the p-System with Time-Dependent Damping. Advances in Mathematical Physics No. 2020 (2020), pp.1-17.
https://search.emarefa.net/detail/BIM-1127348
American Medical Association (AMA)
Duan, Ran& Jiang, Mina& Zhang, Yinghui. Boundary Effect on Asymptotic Behavior of Solutions to the p-System with Time-Dependent Damping. Advances in Mathematical Physics. 2020. Vol. 2020, no. 2020, pp.1-17.
https://search.emarefa.net/detail/BIM-1127348
Data Type
Journal Articles
Language
English
Notes
Includes bibliographical references
Record ID
BIM-1127348