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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Format: | Article |
Language: | English |
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2014-01-01
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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 |