Spectral Galerkin Method in Space and Time for the 2D g -Navier-Stokes Equations

Dao Trong Quyet

doi:10.1155/2013/805685

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Home > Journals > Abstr. Appl. Anal. > Volume 2013 > Article

2013 Spectral Galerkin Method in Space and Time for the 2D

g

-Navier-Stokes Equations

Dao Trong Quyet

Abstr. Appl. Anal. 2013: 1-18 (2013). DOI: 10.1155/2013/805685

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Abstract

We prove the ${H}^{2}$ -stability and ${L}^{2}$ -error analysis of the spectral Galerkin method in space and time with the implicit/explicit Euler scheme for the 2D $g$ -Navier-Stokes equations in bounded domains when the initial data belong to ${H}^{1}$ .

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Dao Trong Quyet. "Spectral Galerkin Method in Space and Time for the 2D $g$ -Navier-Stokes Equations." Abstr. Appl. Anal. 2013 1 - 18, 2013. https://doi.org/10.1155/2013/805685