| In this article, we mainly discuss the existence and uniqueness of the weak solution of Navier-Stokes/Allen-Cahn equationsIn Chapter1, we introduce the physical background of the problem and elementary theory which had been studied by other people.In Chapter2, we list the problem we will study on, and derive the stochastics energy law.In Chapter3, we use the Galerkin method to transfer the SPDE problem to an approximate SODE,and prove the existence and uniqueness of the weak solution of this equation.In Chapter3, make the approximate solution tend to limit, and prove the limit is the weak solution of Navier-Stokes/Allen-Cahn equations. |
