Global Well-posedness for the Three Dimensional Simplified Inertial Ericksen-Leslie Systems Near Equilibrium

Yuan CAI; Wei WANG

Global Well-posedness for the Three Dimensional Simplified Inertial Ericksen-Leslie Systems Near Equilibrium

Yuan CAI
, Wei WANG

Research output: Working paper › Preprint

Abstract

We study a simplified Ericksen-Leslie system with the inertial term for the nematic liquid crystal flow, which can be also viewed as a system coupling Navier-Stokes equations and wave map equations. We prove the global existence of classical solution with initial data near equilibrium.

Original language	English
Publication status	Published - 2018
Externally published	Yes

Publication series

Name	arXiv

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https://hdl.handle.net/1783.1/97718

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title = "Global Well-posedness for the Three Dimensional Simplified Inertial Ericksen-Leslie Systems Near Equilibrium",

abstract = "We study a simplified Ericksen-Leslie system with the inertial term for the nematic liquid crystal flow, which can be also viewed as a system coupling Navier-Stokes equations and wave map equations. We prove the global existence of classical solution with initial data near equilibrium.",

author = "Yuan CAI and Wei WANG",

year = "2018",

language = "English",

series = "arXiv",

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T1 - Global Well-posedness for the Three Dimensional Simplified Inertial Ericksen-Leslie Systems Near Equilibrium

AU - CAI, Yuan

AU - WANG, Wei

PY - 2018

Y1 - 2018

N2 - We study a simplified Ericksen-Leslie system with the inertial term for the nematic liquid crystal flow, which can be also viewed as a system coupling Navier-Stokes equations and wave map equations. We prove the global existence of classical solution with initial data near equilibrium.

AB - We study a simplified Ericksen-Leslie system with the inertial term for the nematic liquid crystal flow, which can be also viewed as a system coupling Navier-Stokes equations and wave map equations. We prove the global existence of classical solution with initial data near equilibrium.

M3 - Preprint

T3 - arXiv

BT - Global Well-posedness for the Three Dimensional Simplified Inertial Ericksen-Leslie Systems Near Equilibrium

ER -

Global Well-posedness for the Three Dimensional Simplified Inertial Ericksen-Leslie Systems Near Equilibrium

Abstract

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