Global smooth solution to the simplified Ericksen-Leslie system in dimension three

2013/07/11 by Wenke Tan, Zhaoyang Yin, Tan, Wenke +1
Mathematics · Physics and Astronomy · #Advanced Mathematical Physics Problems #Analysis of PDEs (math.AP) #FOS: Mathematics #Navier-Stokes equation solutions #Nonlinear Waves and Solitons #math.AP

paper · pdf · doi:10.48550/arxiv.1307.2972

This paper has been withdrawn by the author due to a crucial error

openalex publication_date 2013/07/11 · arxiv created 2014/12/16 · arxiv updated 2014/12/17 · openalex created_date 2016/06/24 · openalex updated_date 2026/07/28

Abstract

In this paper, we consider Cauchy problem of simplified Ericksen-Leslie system in dimension three. We establish the unique existence of global smooth solution under some nonlinear conditions on initial data. However, we do not need small conditions on initial data.

Citations

• Global solution to liquid crystal flows in three dimensions
• Some constitutive equations for liquid crystals

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