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On regularity for an Ericksen‐Leslie's parabolic‐hyperbolic liquid crystals model
Author(s) -
Lu Shengqi,
Chen Miaochao,
Liu Qilin
Publication year - 2018
Publication title -
zamm ‐ journal of applied mathematics and mechanics / zeitschrift für angewandte mathematik und mechanik
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.449
H-Index - 51
eISSN - 1521-4001
pISSN - 0044-2267
DOI - 10.1002/zamm.201700080
Subject(s) - bounded function , domain (mathematical analysis) , mathematics , dimension (graph theory) , mathematical analysis , space (punctuation) , pure mathematics , computer science , operating system
We prove a regularity criterion for an Ericksen‐Leslie's model when the space dimension n = 3 . We also prove the global well‐posedness of strong solutions for a generalized wave map in a bounded domain when n = 1 , and prove a regularity criterion for the n D generalized wave maps when n ≥ 2 .
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