Global Strong Solution to the Density‐Dependent 2‐D Liquid Crystal Flows

Yong Zhou, Jishan Fan and Gen Nakamura

Abstract and Applied Analysis, 2013, vol. 2013, issue 1

Abstract: The initial‐boundary value problem for the density‐dependent flow of nematic crystals is studied in a 2‐D bounded smooth domain. For the initial density away from vacuum, the existence and uniqueness is proved for the global strong solution with the large initial velocity u0 and small ∇d0. We also give a regularity criterion ∇d ∈ Lp(0, T; Lq(Ω)) ((2/q) + (2/p) = 1, 2

Date: 2013
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https://doi.org/10.1155/2013/947291

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Persistent link: https://EconPapers.repec.org/RePEc:wly:jnlaaa:v:2013:y:2013:i:1:n:947291

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