Vortex-like finite-energy asymptotic profiles for isentropic compressible flows
نویسنده
چکیده
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 [8] to the case of finite-energy vortex-like solutions. Mathematics subject classification (2000).. 76N99, 35B40, 35M20, 35Q30.
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