Vortex-like finite-energy asymptotic profiles for isentropic compressible flows

2008/04/10 by Luis Miguel Rodrigues, Rodrigues, Luis Miguel · 1 citation
Mathematics · #35B40 #35M20 #35Q30 #76N99 #Analysis of PDEs (math.AP) #FOS: Mathematics #math.AP #msc:35B40 #msc:35M20 #msc:35Q30 #msc:76N99

paper · pdf · doi:10.48550/arxiv.0804.1710

27 pages, 1 figure

arxiv created 2008/04/10 · arxiv updated 2009/12/01

Abstract

Bidimensional incompressible viscous flows with well-localised vorticity are well-known to develop vortex structures. The purpose of the present paper is to recover the asymptotic profiles describing these phenomena for homogeneous finite-energy flows as asymptotic profiles for near-equilibrium isentropic compressible flows. This task is performed by extending the sharp description of the asymptotic behaviour of near-equilibrium compressible flows obtained by David Hoff and Kevin Zumbrun to the case of finite-energy vortex-like solutions.

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• Nonlinear stability of two-dimensional periodic waves in parabolic systems with conservation laws

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