Decay of the 3D Quasilinear Hyperbolic Equations with Nonlinear Damping
Joint Authors
Source
Advances in Mathematical Physics
Issue
Vol. 2017, Issue 2017 (31 Dec. 2017), pp.1-13, 13 p.
Publisher
Hindawi Publishing Corporation
Publication Date
2017-05-23
Country of Publication
Egypt
No. of Pages
13
Main Subjects
Abstract EN
We investigate the 3D quasilinear hyperbolic equations with nonlinear damping which describes the propagation of heat wave for rigid solids at very low temperature, below about 20 K.
The global existence and uniqueness of strong solutions are obtained when the initial data is near its equilibrium in the sense of H3-norm.
Furthermore, if, additionally, Lp-norm (1≤p<6/5) of the initial perturbation is finite, we also prove the optimal Lp-L2 decay rates for such a solution without the additional technical assumptions for the nonlinear damping f(v) given by Li and Saxton.
American Psychological Association (APA)
Qiu, Hongjun& Zhang, Yinghui. 2017. Decay of the 3D Quasilinear Hyperbolic Equations with Nonlinear Damping. Advances in Mathematical Physics،Vol. 2017, no. 2017, pp.1-13.
https://search.emarefa.net/detail/BIM-1123089
Modern Language Association (MLA)
Qiu, Hongjun& Zhang, Yinghui. Decay of the 3D Quasilinear Hyperbolic Equations with Nonlinear Damping. Advances in Mathematical Physics No. 2017 (2017), pp.1-13.
https://search.emarefa.net/detail/BIM-1123089
American Medical Association (AMA)
Qiu, Hongjun& Zhang, Yinghui. Decay of the 3D Quasilinear Hyperbolic Equations with Nonlinear Damping. Advances in Mathematical Physics. 2017. Vol. 2017, no. 2017, pp.1-13.
https://search.emarefa.net/detail/BIM-1123089
Data Type
Journal Articles
Language
English
Notes
Includes bibliographical references
Record ID
BIM-1123089