Random Dynamics of the Stochastic Boussinesq Equations Driven by Lévy Noises | Zendy

Jianhua Huang | Zendy; Yuhong Li | Zendy; Jinqiao Duan | Zendy

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Random Dynamics of the Stochastic Boussinesq Equations Driven by Lévy Noises

Author(s) -

Jianhua Huang,

Yuhong Li,

Jinqiao Duan

Publication year - 2013

Publication title -

abstract and applied analysis

Language(s) - English

Resource type - Journals

SCImago Journal Rank - 0.228

H-Index - 56

eISSN - 1687-0409

pISSN - 1085-3375

DOI - 10.1155/2013/653160

Subject(s) - mathematics , subordinator , uniqueness , boussinesq approximation (buoyancy) , noise (video) , stochastic process , dynamics (music) , lévy process , continuous time stochastic process , mathematical analysis , stochastic differential equation , statistical physics , computer science , physics , statistics , convection , natural convection , artificial intelligence , rayleigh number , acoustics , image (mathematics) , thermodynamics

This paper is devoted to the investigation of random dynamics of the stochastic Boussinesq equations driven by Lévy noise. Some fundamental properties of a subordinator Lévy process and the stochastic integral with respect to a Lévy process are discussed, and then the existence, uniqueness, regularity, and the random dynamical system generated by the stochastic Boussinesq equations are established. Finally, some discussions on the global weak solution of the stochastic Boussinesq equations driven by general Lévy noise are also presented

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