Analysis of semidiscretization of the compressible Navier-Stokes equations
Classical Analysis and ODEs
2010-09-17 v1
Abstract
The objective of this work is to present the existence result for the evolu- tionary compressible Navier-Stokes equations via time discretization. We consider the two-dimensional case with slip boundary conditions. First, the existence of weak solution for a fixed time step \Delta t > 0 is presented and then the limit passage as \Delta t \to 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.1009.3141,
title = {Analysis of semidiscretization of the compressible Navier-Stokes equations},
author = {Ewelina Kamińska},
journal= {arXiv preprint arXiv:1009.3141},
year = {2010}
}
Comments
31 pages