Uniform Measure Attractors of McKean‐Vlasov Stochastic Reaction‐Diffusion Equations on Unbounded Thin Domain

ABSTRACT This article investigates the issue of uniform measure attractors for non‐autonomous McKean‐Vlasov stochastic reaction‐diffusion equations defined on unbounded thin domains. We begin by recalling the concept of uniform measure attractors. We then establish the existence and uniqueness of such attractors. Employing uniform tail estimates, we prove the asymptotic compactness of the solution processes, thereby overcoming the inherent non‐compactness issue of the standard Sobolev embeddings on unbounded thin domains. Finally, we demonstrate the upper semicontinuity of the uniform measure attractors defined on ‐dimensional unbounded thin domains with respect to the projection onto .