Analysis of semidiscretization of the compressible Navier-Stokes equations
Classical Analysis and ODEs
2010-09-16 v1
Abstract
The objective of this work is to present the existence result of for the non- steady compressible Navier-Stokes equations via time discretization. We consider the two-dimensional case with a slip boundary conditions. First, the existence of weak solution for a fixed length of time interval \Delta t > 0 is presented and then the limit passage as \Delta t \rightarrow 0+ is carried out. The proof is based on a new technique established for the stedy Navier-Stokes equations by Mucha P. and Pokorn\'y M. 2006 Nonlinearity 19 1747-1768.
Keywords
Cite
@article{arxiv.1009.2974,
title = {Analysis of semidiscretization of the compressible Navier-Stokes equations},
author = {Ewelina Kamińska},
journal= {arXiv preprint arXiv:1009.2974},
year = {2010}
}
Comments
31 pages