Stochastic Nonlinear Thermoelastic System Coupled Sine-Gordon Equation Driven by Jump Noise

This paper considers a stochastic nonlinear thermoelastic system coupled sine-Gordon equation driven by jump noise. We first prove the existence and uniqueness of strong probabilistic solution of an initial-boundary value problem with homogeneous Dirichlet boundary conditions. Then we give an asympt...

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Main Authors: Shuilin Cheng, Yantao Guo, Yanbin Tang
Format: Article
Language:English
Published: Wiley 2014-01-01
Series:Abstract and Applied Analysis
Online Access:http://dx.doi.org/10.1155/2014/403528
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author Shuilin Cheng
Yantao Guo
Yanbin Tang
author_facet Shuilin Cheng
Yantao Guo
Yanbin Tang
author_sort Shuilin Cheng
collection DOAJ
description This paper considers a stochastic nonlinear thermoelastic system coupled sine-Gordon equation driven by jump noise. We first prove the existence and uniqueness of strong probabilistic solution of an initial-boundary value problem with homogeneous Dirichlet boundary conditions. Then we give an asymptotic behavior of the solution.
format Article
id doaj-art-43746fe90680486fb8c41bf595e2cfc6
institution Kabale University
issn 1085-3375
1687-0409
language English
publishDate 2014-01-01
publisher Wiley
record_format Article
series Abstract and Applied Analysis
spelling doaj-art-43746fe90680486fb8c41bf595e2cfc62025-02-03T01:26:13ZengWileyAbstract and Applied Analysis1085-33751687-04092014-01-01201410.1155/2014/403528403528Stochastic Nonlinear Thermoelastic System Coupled Sine-Gordon Equation Driven by Jump NoiseShuilin Cheng0Yantao Guo1Yanbin Tang2School of Mathematics and Statistics, Huazhong University of Science and Technology, Wuhan, Hubei 430074, ChinaSchool of Mathematics and Statistics, Huazhong University of Science and Technology, Wuhan, Hubei 430074, ChinaSchool of Mathematics and Statistics, Huazhong University of Science and Technology, Wuhan, Hubei 430074, ChinaThis paper considers a stochastic nonlinear thermoelastic system coupled sine-Gordon equation driven by jump noise. We first prove the existence and uniqueness of strong probabilistic solution of an initial-boundary value problem with homogeneous Dirichlet boundary conditions. Then we give an asymptotic behavior of the solution.http://dx.doi.org/10.1155/2014/403528
spellingShingle Shuilin Cheng
Yantao Guo
Yanbin Tang
Stochastic Nonlinear Thermoelastic System Coupled Sine-Gordon Equation Driven by Jump Noise
Abstract and Applied Analysis
title Stochastic Nonlinear Thermoelastic System Coupled Sine-Gordon Equation Driven by Jump Noise
title_full Stochastic Nonlinear Thermoelastic System Coupled Sine-Gordon Equation Driven by Jump Noise
title_fullStr Stochastic Nonlinear Thermoelastic System Coupled Sine-Gordon Equation Driven by Jump Noise
title_full_unstemmed Stochastic Nonlinear Thermoelastic System Coupled Sine-Gordon Equation Driven by Jump Noise
title_short Stochastic Nonlinear Thermoelastic System Coupled Sine-Gordon Equation Driven by Jump Noise
title_sort stochastic nonlinear thermoelastic system coupled sine gordon equation driven by jump noise
url http://dx.doi.org/10.1155/2014/403528
work_keys_str_mv AT shuilincheng stochasticnonlinearthermoelasticsystemcoupledsinegordonequationdrivenbyjumpnoise
AT yantaoguo stochasticnonlinearthermoelasticsystemcoupledsinegordonequationdrivenbyjumpnoise
AT yanbintang stochasticnonlinearthermoelasticsystemcoupledsinegordonequationdrivenbyjumpnoise