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

Research paper by Luis Miguel Rodrigues

Indexed on: 10 Apr '08Published on: 10 Apr '08Published in: Mathematics - Analysis of PDEs


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.