Stochastic nonlinear thermoelastic system coupled sine-Gordon equation driven by jump noise

DOI10.1155/2014/403528zbMath1472.35333OpenAlexW2062112101WikidataQ59037478 ScholiaQ59037478MaRDI QIDQ1724046

Yanbin Tang, Yantao Guo, Shuilin Cheng

Publication date: 14 February 2019

Published in: Abstract and Applied Analysis (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1155/2014/403528

zbMATH Keywords

sine-Gordon equationnonlinear thermoelastic system

Mathematics Subject Classification ID

Asymptotic behavior of solutions to PDEs (35B40) KdV equations (Korteweg-de Vries equations) (35Q53) Nonlinear elasticity (74B20) Thermal effects in solid mechanics (74F05) Random operators and equations (aspects of stochastic analysis) (60H25) Existence problems for PDEs: global existence, local existence, non-existence (35A01) PDEs with randomness, stochastic partial differential equations (35R60) PDEs in connection with mechanics of deformable solids (35Q74) Uniqueness problems for PDEs: global uniqueness, local uniqueness, non-uniqueness (35A02) Strong solutions to PDEs (35D35)

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Cites Work

• Unnamed Item
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• Strong solution for a stochastic model of two-dimensional second grade fluids: existence, uniqueness and asymptotic behavior
• On a jump-type stochastic fractional partial differential equation with fractional noises
• Stochastic thermoelastic problem of a functionally graded plate under random temperature load
• Random attractor for a damped sine-Gordon equation with white noise
• Fractal dimension of a random invariant set and applications
• 2D stochastic Navier-Stokes equations driven by jump noise
• \((L^2,H^1)\)-random attractors for stochastic reaction-diffusion equation on unbounded domains
• Random attractors for stochastic reaction-diffusion equations on unbounded domains
• Global existence and decay for the semilinear thermoelastic contact problem
• STRONG SOLUTIONS FOR STOCHASTIC NONLINEAR NONLOCAL PARABOLIC EQUATIONS
• Stochastic Equations in Infinite Dimensions
• Lévy Processes and Stochastic Calculus
• Global attractor for the semilinear thermoelastic problem
• Existence of invariant manifolds for coupled parabolic and hyperbolic stochastic partial differential equations