Vortex-like finite-energy asymptotic profiles for isentropic compressible flows
Analysis of PDEs
2008-12-18 v1
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.
Keywords
Cite
@article{arxiv.0804.1710,
title = {Vortex-like finite-energy asymptotic profiles for isentropic compressible flows},
author = {Luis Miguel Rodrigues},
journal= {arXiv preprint arXiv:0804.1710},
year = {2008}
}
Comments
27 pages, 1 figure