Stochastic Viscoelastic Wave Equations with Nonlinear Damping and Source Terms
Joint Authors
Cheng, Shuilin
Guo, Yantao
Tang, Yanbin
Source
Journal of Applied Mathematics
Issue
Vol. 2014, Issue 2014 (31 Dec. 2014), pp.1-15, 15 p.
Publisher
Hindawi Publishing Corporation
Publication Date
2014-03-27
Country of Publication
Egypt
No. of Pages
15
Main Subjects
Abstract EN
The goal of this paper is to study an initial boundary value problem of stochastic viscoelastic wave equation with nonlinear damping and source terms.
Under certain conditions on the initial data: the relaxation function, the indices of nonlinear damping, and source terms and the random force, we prove the local existence and uniqueness of solution by the Galerkin approximation method.
Then, considering the relationship between the indices of nonlinear damping and nonlinear source, we give the necessary conditions of global existence and explosion in finite time in some sense of solutions, respectively.
American Psychological Association (APA)
Cheng, Shuilin& Guo, Yantao& Tang, Yanbin. 2014. Stochastic Viscoelastic Wave Equations with Nonlinear Damping and Source Terms. Journal of Applied Mathematics،Vol. 2014, no. 2014, pp.1-15.
https://search.emarefa.net/detail/BIM-472520
Modern Language Association (MLA)
Cheng, Shuilin…[et al.]. Stochastic Viscoelastic Wave Equations with Nonlinear Damping and Source Terms. Journal of Applied Mathematics No. 2014 (2014), pp.1-15.
https://search.emarefa.net/detail/BIM-472520
American Medical Association (AMA)
Cheng, Shuilin& Guo, Yantao& Tang, Yanbin. Stochastic Viscoelastic Wave Equations with Nonlinear Damping and Source Terms. Journal of Applied Mathematics. 2014. Vol. 2014, no. 2014, pp.1-15.
https://search.emarefa.net/detail/BIM-472520
Data Type
Journal Articles
Language
English
Notes
Includes bibliographical references
Record ID
BIM-472520