Well-posedness of the stochastic Boussinesq equation driven by Levy processes

Abstract

Abstract In this paper, we develop a new progressive stopping time technique to prove the existence and uniqueness of a special type of global solutions for the stochastic Boussinesq equations driven by Levy processes. Then we prove the existence of invariant measure.

Keywords

• Boussinesq equation
• Levy process
• Well-posedness
• Invariant measure