Existence and uniqueness of uniform measure attractors is established for distribution-dependent 2D stochastic Navier-Stokes equations driven by nonlinear noise under almost periodic external forcing, with joint continuity of processes shown without the Feller property.
Schmalfuss, Qualitative properties for the stochastic Navier-Stokes equation,Nonlinear Anal.,28(1997): 1545-1563
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Uniform measure attractors of the distribution-dependent 2D stochastic Navier-Stokes equations driven by nonlinear noise
Existence and uniqueness of uniform measure attractors is established for distribution-dependent 2D stochastic Navier-Stokes equations driven by nonlinear noise under almost periodic external forcing, with joint continuity of processes shown without the Feller property.