Error bounds for semi-Galerkin approximations of nonhomogeneous incompressible fluids
Analysis of PDEs
2007-05-23 v2
Abstract
We consider the spectral semi-Galerkin method applied to the nonhomogeneous Navier-Stokes equations. Under certain conditions it is known that the approximate solutions constructed through this method converge to a global strong solution of these equations. Here, we derive an optimal uniform in time error estimate in the norm for the velocity. We also derive an error estimate for the density in some spaces .
Keywords
Cite
@article{arxiv.math/0508442,
title = {Error bounds for semi-Galerkin approximations of nonhomogeneous incompressible fluids},
author = {P. Braz e Silva and M. A. Rojas-Medar},
journal= {arXiv preprint arXiv:math/0508442},
year = {2007}
}
Comments
22 pages; Some typos were corrected