Incompressible Limit of the Compressible Hydrodynamic Flow

Details Incompressible Limit of the Compressible Hydrodynamic Flow Incompressible Limit of the Compressible Hydrodynamic Flow

2011-04-22

arxiv.org/abs/1104.4377v1

Mathematics

Analysis of PDEs

Scientific paper

This paper is concerned with the incompressible limit of the compressible hydrodynamic flow of liquid crystals with periodic boundary conditions in R^N(N = 2, 3). It is rigorously shown that the local (and global) strong solution of the compressible system converges to the local (and global) strong solution of the incompressible system. Furthermore, the convergence rates are also obtained in some sense.

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