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

Author

Listed:
  • Shuilin Cheng
  • Yantao Guo
  • Yanbin Tang

Abstract

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.

Suggested Citation

  • Shuilin Cheng & Yantao Guo & Yanbin Tang, 2014. "Stochastic Nonlinear Thermoelastic System Coupled Sine‐Gordon Equation Driven by Jump Noise," Abstract and Applied Analysis, John Wiley & Sons, vol. 2014(1).
    • Handle: RePEc:wly:jnlaaa:v:2014:y:2014:i:1:n:403528
    DOI: 10.1155/2014/403528
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    References listed on IDEAS

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    1. Gang Wang & Yanbin Tang, 2013. "Fractal Dimension of a Random Invariant Set and Applications," Journal of Applied Mathematics, Hindawi, vol. 2013, pages 1-5, November.
    2. Gang Wang & Yanbin Tang, 2013. "Fractal Dimension of a Random Invariant Set and Applications," Journal of Applied Mathematics, John Wiley & Sons, vol. 2013(1).
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    Cited by:

    1. Shuilin Cheng & Yantao Guo & Yanbin Tang, 2014. "Stochastic Viscoelastic Wave Equations with Nonlinear Damping and Source Terms," Journal of Applied Mathematics, John Wiley & Sons, vol. 2014(1).

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