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Global well‐posedness of the 3D incompressible nematic liquid crystal flows with density‐dependent viscosity coefficient
Author(s) -
Liu Yang
Publication year - 2020
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.6341
Subject(s) - liquid crystal , compressibility , viscosity , bounded function , mathematics , domain (mathematical analysis) , exponential function , mathematical analysis , exponential decay , mechanics , thermodynamics , condensed matter physics , physics , quantum mechanics
This paper deals with the 3D incompressible nematic liquid crystal flows with density‐dependent viscosity in bounded domain. The global well‐posedness of strong solutions are established in the vacuum cases, provided the assumption thatρ ¯ + ‖ ∇ d 0‖L 3is suitably small with large velocity. Furthermore, the exponential decay of the solution is also obtained.