A Beale–Kato–Majda blow-up criterion for a hydrodynamic system modeling vesicle and fluid interactions. (November 2015)

• Record Type: Journal Article
• Authors: Zhao, Jihong
• Is Part Of: Nonlinear analysis. Volume 128(2015)
• Page Start: 20
• Page End: 35
• Publication Date: 2015-11
• Subjects: 35B65 -- 35Q30 -- 76D09 -- 76T10; Phase field -- Vesicle membrane -- Fluid interaction -- Navier–Stokes equations -- Blow-up criterion; Mathematical analysis -- Periodicals; Functional analysis -- Periodicals; Nonlinear theories -- Periodicals; Analyse mathématique -- Périodiques; Analyse fonctionnelle -- Périodiques; Théories non linéaires -- Périodiques; Functional analysis; Mathematical analysis; Nonlinear theories; Periodicals; Electronic journals; 515.7248
• DOI: 10.1016/j.na.2015.07.026
• Languages: English
• ISSNs: 0362-546X

Abstract

Abstract: In this paper, we establish an analog of the Beale–Kato–Majda type criterion for singularities of smooth solutions of a hydrodynamic system modeling vesicle and fluid interactions. The result shows that the maximum norm of the vorticity alone controls the breakdown of smooth solutions.