Well-Posedness of Generalized Stochastic Navier-Stokes Equation with Navier Boundary Condition
For the generalized stochastic Navier-Stokes equations with Navier boundary condition,we prove a priori estimates for the Navier-Stokes equations in L2 and L4.And then,we prove the monotonic-ity of nonlinear terms.At last by using Minty-Browder we get the global existence and uniqueness for the weak solution of the stochastic equation.
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