On the convergence of spectral approximations for the heat convection equations

Author:

Climent-Ezquerra B.,Poblete-Cantellano M.,Rojas-Medar M. A.

Funder

Ministerio de Economía y Competitividad (ES)

Universidad de Atacama (CL)

Fondo Nacional de Desarrollo Científico y Tecnológico (CL)

Publisher

Springer Science and Business Media LLC

Subject

General Mathematics

Reference43 articles.

1. Amrouche, C., Girault, V.: On the existence and regularity of the solution of Stokes problem in arbitrary dimension. Proc. Jpn Acad., 67(Ser. A), 171–175 (1991)

2. Bause, M.: On optimal convergence rates for higher-order Navier-Stokes approximations. I. Error estimates for the spatial discretization. IMA J. Numer. Anal. 25, 812–841 (2005)

3. Cannon, J.R., DiBenedetto, E.: The initial value problem for the Boussinesq equations with data in $$L^p,$$ L p , Approximation Methods for Navier-Stokes Equations. Springer Lect. Notes 771, 129–144 (1979)

4. Cabrales, R.C., Poblete-Cantellano, M., Rojas-Medar, M.A.: Ecuaciones de Boussinesq: estimaciones uniformes en el tiempo de las aproximaciones de Galerkin espectrales. Revista Integración 27(1), 37–57 (2009)

5. Cattabriga, L.: Su un problema al contorno relativo al sistema di equazioni di Stokes. Rend. Sem. Mat. Univ. Padova 31, 308–340 (1961)

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