Dynamics of stochastic fractional Boussinesq equations

Jianhua  Huang; Tianlong  Shen; Yuhong  Li

doi:10.3934/dcdsb.2015.20.2051

Article Contents

2015, Volume 20, Issue 7: 2051-2067. Doi: 10.3934/dcdsb.2015.20.2051

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Dynamics of stochastic fractional Boussinesq equations

1.
College of Science, National University of Defense Technology, Changsha, 410073
2.
School of Hydropower and Information Engineer, HuaZhong University of Science and Technology, Wuhan, 430074

Received: June 2014

Revised: May 2015

Published: September 2015

Abstract / Introduction Related Papers Cited by

Abstract

The current paper is devoted to the asymptotic behavior of the stochastic fractional Boussinesq equations (SFBE). The global well-posedness of SFBE is proved, and the existence of a random attractor for the random dynamical system generalized by the SFBE are also provided.

Keywords:

Stochastic fractional Boussinesq equations,
communicator estimates,
random dynamical systems,
random attractor.

Mathematics Subject Classification: Primary: 37L55; Secondary: 60H15.

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