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

J. V. Gutiérrez-Santacreu; M. A. Rojas-Medar

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

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

J. V. Gutiérrez-Santacreu
, M. A. Rojas-Medar

University of Seville
Universidad del Bío-Bío

Research output: Contribution to journal › Article › peer-review

3 Scopus citations

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 uniformin-time error bound in the H ¹ × H ² norm for the velocity and density approximations being stated in Theorem 6.

Original language	English
Pages (from-to)	191-218
Number of pages	28
Journal	Mathematics of Computation
Volume	81
Issue number	277
DOIs	https://doi.org/10.1090/S0025-5718-2011-02491-9
State	Published - 2011
Externally published	Yes

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title = "Uniform-in-time error estimates for spectral Galerkin approximations of a mass diffusion model",

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 uniformin-time error bound in the H 1 × H 2 norm for the velocity and density approximations being stated in Theorem 6.",

author = "Guti{\'e}rrez-Santacreu, \{J. V.\} and Rojas-Medar, \{M. A.\}",

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AU - Rojas-Medar, M. A.

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N2 - 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 uniformin-time error bound in the H 1 × H 2 norm for the velocity and density approximations being stated in Theorem 6.

AB - 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 uniformin-time error bound in the H 1 × H 2 norm for the velocity and density approximations being stated in Theorem 6.

UR - https://www.scopus.com/pages/publications/84858990548

U2 - 10.1090/S0025-5718-2011-02491-9

DO - 10.1090/S0025-5718-2011-02491-9

M3 - Article

AN - SCOPUS:84858990548

SN - 0025-5718

VL - 81

SP - 191

EP - 218

JO - Mathematics of Computation

JF - Mathematics of Computation

IS - 277

ER -

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

Abstract

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