Blow-up criteria of the simplified Ericksen–Leslie system

Autor: Zhengmao Chen, Fan Wu
Jazyk: angličtina
Rok vydání: 2023
Předmět:
Zdroj: Boundary Value Problems, Vol 2023, Iss 1, Pp 1-13 (2023)
Druh dokumentu: article
ISSN: 1687-2770
DOI: 10.1186/s13661-023-01729-y
Popis: Abstract In this paper, we establish scaling invariant blow-up criteria for a classical solution to the simplified Ericksen–Leslie system in terms of the positive part of the second eigenvalue of the strain matrix and orientation field in mixed-norm Lebesgue spaces. Our result may be also regarded as an extension or improvement of the corresponding results obatined by Neustupa and Penel (Trends in Partial Differential Equations of Mathematical Physics, pp. 197–212, 2005), Miller (Arch. Ration. Mech. Anal. 235(1):99–139, 2020) and Huang and Wang (Commun. Partial Differ. Equ. 37(5):875–884, 2012).
Databáze: Directory of Open Access Journals
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