Global regularity for the incompressible 2D generalized liquid crystal model with fractional diffusions

Yanan Wang; Yong Zhou; Ahmed Alsaedi; Tasawar Hayat; Zaihong Jiang

doi:10.1016/j.aml.2014.03.014

Global regularity for the incompressible 2D generalized liquid crystal model with fractional diffusions

Yanan Wang
, Yong Zhou
, Ahmed Alsaedi
, Tasawar Hayat
, Zaihong Jiang

Zhejiang Normal University
Faculty of Sciences, King Abdulaziz University
Quaid-I-Azam University

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

10 Scopus citations

Abstract

In this paper, we consider the global regularity for the 2D generalized liquid crystal model with the fractional diffusion term -Λ2 ^αu for the velocity field and -Λ2^βd for the vector field modeling the orientation of the crystal molecules. Global existence of smooth solutions is proved for the case α=0,β>1.

Original language	English
Pages (from-to)	18-23
Number of pages	6
Journal	Applied Mathematics Letters
Volume	35
Issue number	1
DOIs	https://doi.org/10.1016/j.aml.2014.03.014
State	Published - Sep 2014
Externally published	Yes

Keywords

Fractional diffusion
Global regularity
Liquid crystal model

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10.1016/j.aml.2014.03.014

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title = "Global regularity for the incompressible 2D generalized liquid crystal model with fractional diffusions",

abstract = "In this paper, we consider the global regularity for the 2D generalized liquid crystal model with the fractional diffusion term -Λ2 αu for the velocity field and -Λ2βd for the vector field modeling the orientation of the crystal molecules. Global existence of smooth solutions is proved for the case α=0,β>1.",

keywords = "Fractional diffusion, Global regularity, Liquid crystal model",

author = "Yanan Wang and Yong Zhou and Ahmed Alsaedi and Tasawar Hayat and Zaihong Jiang",

year = "2014",

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doi = "10.1016/j.aml.2014.03.014",

language = "English",

volume = "35",

pages = "18--23",

journal = "Applied Mathematics Letters",

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T1 - Global regularity for the incompressible 2D generalized liquid crystal model with fractional diffusions

AU - Wang, Yanan

AU - Zhou, Yong

AU - Alsaedi, Ahmed

AU - Hayat, Tasawar

AU - Jiang, Zaihong

PY - 2014/9

Y1 - 2014/9

N2 - In this paper, we consider the global regularity for the 2D generalized liquid crystal model with the fractional diffusion term -Λ2 αu for the velocity field and -Λ2βd for the vector field modeling the orientation of the crystal molecules. Global existence of smooth solutions is proved for the case α=0,β>1.

AB - In this paper, we consider the global regularity for the 2D generalized liquid crystal model with the fractional diffusion term -Λ2 αu for the velocity field and -Λ2βd for the vector field modeling the orientation of the crystal molecules. Global existence of smooth solutions is proved for the case α=0,β>1.

KW - Fractional diffusion

KW - Global regularity

KW - Liquid crystal model

UR - https://www.scopus.com/pages/publications/84899541562

U2 - 10.1016/j.aml.2014.03.014

DO - 10.1016/j.aml.2014.03.014

M3 - Article

AN - SCOPUS:84899541562

SN - 0893-9659

VL - 35

SP - 18

EP - 23

JO - Applied Mathematics Letters

JF - Applied Mathematics Letters

IS - 1

ER -

Global regularity for the incompressible 2D generalized liquid crystal model with fractional diffusions

Abstract

Keywords

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