One-dimensional model equations for hyperbolic fluid flow

2015/08/03 by Tam Do, Vu Hoang, Do, Tam +5
Engineering · Mathematics · #Advanced Mathematical Physics Problems #Navier-Stokes equation solutions #Stability and Controllability of Differential Equations #math.AP #msc:35Q31 #msc:76B03

paper · pdf · doi:10.48550/arxiv.1508.00550

12 pages, 2 figures

arxiv created 2016/04/22 · arxiv updated 2016/04/25

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.

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