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.
Leray, Sur le mouvement d’un liquide visquex emplissant l’espace,Acta Math.,63(1934): 193-248
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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.