Existence and Ergodicity for the Two-Dimensional Stochastic Boussinesq Equation

Authors

  • Yong Li Department of Mathematics, 301 Thackeray Hall, University of Pittsburgh, Pittsburgh, PA, 15260, USA
  • Catalin Trenchea Department of Mathematics, 301 Thackeray Hall, University of Pittsburgh, Pittsburgh, PA, 15260, USA

Keywords:

Stochastic Boussinesq equation, invariant measure, coupling, ergodicity.

Abstract

The existence of solutions to the Boussinesq system driven by random exterior forcing terms both in the velocity field and the temperature is proven using a semigroup approach. We also obtain the existence and uniqueness of an invariant measure via coupling methods.

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Published

2018-08-15

Issue

Vol. 15 No. 4-5 (2018)

Section

Articles