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

Mathematics

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