Uniform Measure Attractors of McKean‐Vlasov Stochastic Reaction‐Diffusion Equations on Unbounded Thin Domain
Year: 2026
Type: article
Abstract: 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 .
DOI: 10.1002/mma.70643
Authors: Tianhao Zeng, Ran Li, Dingshi Li
Institution: Southwest Jiaotong University
Language: English
Subfield: Control and Systems Engineering
Field: Engineering
Domain: Physical Sciences
Open Access status: green
OpenAlex ID: W7134194657