Autor: |
Zhengmao Chen, Fan Wu |
Jazyk: |
angličtina |
Rok vydání: |
2023 |
Předmět: |
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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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