On the well‐posedness for the heat flow of harmonic maps and the hydrodynamic flow of nematic liquid crystals in critical spaces | Zendy

Lin Junyu | Zendy; Ding Shijin | Zendy

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On the well‐posedness for the heat flow of harmonic maps and the hydrodynamic flow of nematic liquid crystals in critical spaces

Author(s) -

Lin Junyu,

Ding Shijin

Publication year - 2011

Publication title -

mathematical methods in the applied sciences

Language(s) - English

Resource type - Journals

SCImago Journal Rank - 0.719

H-Index - 65

eISSN - 1099-1476

pISSN - 0170-4214

DOI - 10.1002/mma.1548

Subject(s) - liquid crystal , harmonic map , flow (mathematics) , mathematics , heat flow , harmonic , mechanics , thermodynamics , mathematical analysis , geometry , physics , condensed matter physics , thermal , quantum mechanics

In recent paper, we prove the well‐posedness for the heat flow of harmonic maps with initial datau 0 ∈ Ẇ 1 , n(R n , N ) and for the hydrodynamic flow of nematic liquid crystals with initial data (v 0 , d 0) ∈ L n(R n) × Ẇ 1 , n(R n , S 2) . Copyright © 2011 John Wiley & Sons, Ltd.

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