Year: 2023
Communications in Mathematical Analysis and Applications, Vol. 2 (2023), Iss. 3 : pp. 304–356
Abstract
In this article we are concerned with a simplified Ericksen-Leslie system on $\mathbb{R}^2,$ whose bounded domain case was considered in [Lin et al., Arch. Ration. Mech. Anal. 197 (2010), 297–336]. With a study of its vorticity-stream formulation, we establish a global existence result of weak solutions when initial orientation has finite energy and initial vorticity function lies in $L^1 (\mathbb{R}^2).$
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Journal Article Details
Publisher Name: Global Science Press
Language: English
DOI: https://doi.org/10.4208/cmaa.2023-0004
Communications in Mathematical Analysis and Applications, Vol. 2 (2023), Iss. 3 : pp. 304–356
Published online: 2023-01
AMS Subject Headings:
Copyright: COPYRIGHT: © Global Science Press
Pages: 53
Keywords: Ericksen-Leslie system circulation Reynolds number vorticity formulation.