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

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

2008-04-10

arxiv.org/abs/0804.1710v1

Mathematics

Analysis of PDEs

27 pages, 1 figure

Scientific paper

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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