On regularity for an Ericksen‐Leslie's parabolic‐hyperbolic liquid crystals model. Issue 9 (6th June 2018)

• Record Type: Journal Article
• Authors: Lu, Shengqi; Chen, Miaochao; Liu, Qilin
• Is Part Of: Zeitschrift für angewandte Mathematik und Mechanik. Volume 98:Issue 9(2018)
• Page Start: 1574
• Page End: 1584
• Publication Date: 2018-06-06
• Subjects: liquid crystals -- regularity criterion -- wave map -- 35K55 -- 35Q35 -- 70S15; Mathematics -- Periodicals; Mechanics, Applied -- Periodicals; Engineering -- Periodicals; 519
• DOI: 10.1002/zamm.201700080
• Languages: English
• ISSNs: 0044-2267

Abstract

Abstract: 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 . Abstract : 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 .