One-dimensional model equations for hyperbolic fluid flow. (July 2016)

• Record Type: Journal Article
• Authors: Do, Tam; Hoang, Vu; Radosz, Maria; Xu, Xiaoqian
• Is Part Of: Nonlinear analysis. Volume 140(2016)
• Page Start: 1
• Page End: 11
• Publication Date: 2016-07
• Subjects: Fluid mechanics -- One-dimensional models -- Singularity formation; 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.2016.03.002
• Languages: English
• ISSNs: 0362-546X

Abstract

Abstract: In this paper we study the singularity formation for two nonlocal 1D active scalar equations, focusing on the hyperbolic flow scenario. Those 1D equations can be regarded as simplified models of some 2D fluid equations.