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 - <p style="text-align: justify;">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.</p>