Small data global regularity for the 3-D Ericksen-Leslie hyperbolic liquid crystal model without kinematic transport

Jiaxi Huang; Ning Jiang; Yi Long Luo; Lifeng Zhao

doi:10.1137/20M1322625

Small data global regularity for the 3-D Ericksen-Leslie hyperbolic liquid crystal model without kinematic transport

Jiaxi Huang, Ning Jiang, Yi Long Luo, Lifeng Zhao

Research output: Contribution to journal › Article › peer-review

12 Citations (Scopus)

Abstract

In this article, we consider the hyperbolic Ericksen-Leslie system for incompressible liquid crystals without kinematic transport in three spatial dimensions, which is a nonlinear coupling of incompressible Navier-Stokes equations with wave map to B ². Global regularity for small and smooth initial data near the equilibrium is proved. The proof relies on the idea of space-time resonance.

Original language	English
Pages (from-to)	530-573
Number of pages	44
Journal	SIAM Journal on Mathematical Analysis
Volume	53
Issue number	1
DOIs	https://doi.org/10.1137/20M1322625
Publication status	Published - 2021
Externally published	Yes

Keywords

Global regularity
Hyperbolic
Liquid crystal

Access to Document

10.1137/20M1322625

Cite this

@article{a6c2a1699b534cbab759918afcce3c23,

title = "Small data global regularity for the 3-D Ericksen-Leslie hyperbolic liquid crystal model without kinematic transport",

abstract = "In this article, we consider the hyperbolic Ericksen-Leslie system for incompressible liquid crystals without kinematic transport in three spatial dimensions, which is a nonlinear coupling of incompressible Navier-Stokes equations with wave map to B 2. Global regularity for small and smooth initial data near the equilibrium is proved. The proof relies on the idea of space-time resonance.",

keywords = "Global regularity, Hyperbolic, Liquid crystal",

author = "Jiaxi Huang and Ning Jiang and Luo, {Yi Long} and Lifeng Zhao",

note = "Publisher Copyright: {\textcopyright} 2021 Society for Industrial and Applied Mathematics.",

year = "2021",

doi = "10.1137/20M1322625",

language = "English",

volume = "53",

pages = "530--573",

journal = "SIAM Journal on Mathematical Analysis",

issn = "0036-1410",

publisher = "Society for Industrial and Applied Mathematics Publications",

number = "1",

}

TY - JOUR

T1 - Small data global regularity for the 3-D Ericksen-Leslie hyperbolic liquid crystal model without kinematic transport

AU - Huang, Jiaxi

AU - Jiang, Ning

AU - Luo, Yi Long

AU - Zhao, Lifeng

PY - 2021

Y1 - 2021

N2 - In this article, we consider the hyperbolic Ericksen-Leslie system for incompressible liquid crystals without kinematic transport in three spatial dimensions, which is a nonlinear coupling of incompressible Navier-Stokes equations with wave map to B 2. Global regularity for small and smooth initial data near the equilibrium is proved. The proof relies on the idea of space-time resonance.

AB - In this article, we consider the hyperbolic Ericksen-Leslie system for incompressible liquid crystals without kinematic transport in three spatial dimensions, which is a nonlinear coupling of incompressible Navier-Stokes equations with wave map to B 2. Global regularity for small and smooth initial data near the equilibrium is proved. The proof relies on the idea of space-time resonance.

KW - Global regularity

KW - Hyperbolic

KW - Liquid crystal

UR - http://www.scopus.com/inward/record.url?scp=85103159164&partnerID=8YFLogxK

U2 - 10.1137/20M1322625

DO - 10.1137/20M1322625

M3 - Article

AN - SCOPUS:85103159164

SN - 0036-1410

VL - 53

SP - 530

EP - 573

JO - SIAM Journal on Mathematical Analysis

JF - SIAM Journal on Mathematical Analysis

IS - 1

ER -

Small data global regularity for the 3-D Ericksen-Leslie hyperbolic liquid crystal model without kinematic transport

Abstract

Keywords

Access to Document

Other files and links

Fingerprint

Cite this