Uniform-in-time error estimates for spectral Galerkin approximations of a mass diffusion model

Gutiérrez-Santacreu, J.; Rojas-Medar, M.

doi:10.1090/S0025-5718-2011-02491-9

Uniform-in-time error estimates for spectral Galerkin approximations of a mass diffusion model
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by J. V. Gutiérrez-Santacreu and M. A. Rojas-Medar PDF

Math. Comp. 81 (2012), 191-218 Request permission

Abstract:

The goal of this paper is to present uniform-in-time error estimates by considering spectral Galerkin approximations of the Kazhikhov-Smagulov model for strong solutions. To be more precise, we derive an optimal uniform-in-time error bound in the $\boldsymbol {H}^1\times H^2$ norm for the velocity and density approximations being stated in Theorem 6.

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