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Volume 15, Issue 4-5
Existence and Ergodicity for the Two-Dimensional Stochastic Boussinesq Equation

Yong Li & Catalin Trenchea

Int. J. Numer. Anal. Mod., 15 (2018), pp. 715-728.

Published online: 2018-04

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  • 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.

  • Keywords

Stochastic Boussinesq equation, invariant measure, coupling, ergodicity.

  • AMS Subject Headings

35R60, 37L40, 76N10

  • Copyright

COPYRIGHT: © Global Science Press

  • Email address

yol34@pitt.edu (Yong Li)

trenchea@pitt.edu (Catalin Trenchea)

  • BibTex
  • RIS
  • TXT
@Article{IJNAM-15-715, author = {Li , Yong and Trenchea , Catalin}, title = {Existence and Ergodicity for the Two-Dimensional Stochastic Boussinesq Equation}, journal = {International Journal of Numerical Analysis and Modeling}, year = {2018}, volume = {15}, number = {4-5}, pages = {715--728}, 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.

}, issn = {2617-8710}, doi = {https://doi.org/}, url = {http://global-sci.org/intro/article_detail/ijnam/12539.html} }
TY - JOUR T1 - Existence and Ergodicity for the Two-Dimensional Stochastic Boussinesq Equation AU - Li , Yong AU - Trenchea , Catalin JO - International Journal of Numerical Analysis and Modeling VL - 4-5 SP - 715 EP - 728 PY - 2018 DA - 2018/04 SN - 15 DO - http://doi.org/ UR - https://global-sci.org/intro/article_detail/ijnam/12539.html KW - Stochastic Boussinesq equation, invariant measure, coupling, ergodicity. AB -

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.

Li , Yong and Trenchea , Catalin. (2018). Existence and Ergodicity for the Two-Dimensional Stochastic Boussinesq Equation. International Journal of Numerical Analysis and Modeling. 15 (4-5). 715-728. doi:
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