On convergence of galerkin's approximations for the regularized 3D periodic navier-stokes equations

Valeri V. Kucherenko

On convergence of galerkin's approximations for the regularized 3D periodic navier-stokes equations

Valeri V. Kucherenko

Escuela Superior de Física y Matemáticas (ESFM)

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

1 Scopus citations

Abstract

Regularization of the Navier-Stokes equations by adding hyperviscosity term μ(-Δ2), μ > 0 is considered. We proved convergence of Galerkin's approximations to the strong generalized solution of the regularized Navier-Stokes equations; existence and uniqueness of the strong generalized solution.

Original language	English
Pages (from-to)	103-112
Number of pages	10
Journal	Communications in Mathematical Analysis
Volume	14
Issue number	2
State	Published - 2013

Keywords

Galerkin's method
Hyperviscosity
Navier-stokes equations
Regularization
Strong solution

Cite this

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title = "On convergence of galerkin's approximations for the regularized 3D periodic navier-stokes equations",

abstract = "Regularization of the Navier-Stokes equations by adding hyperviscosity term μ(-Δ2), μ > 0 is considered. We proved convergence of Galerkin's approximations to the strong generalized solution of the regularized Navier-Stokes equations; existence and uniqueness of the strong generalized solution.",

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journal = "Communications in Mathematical Analysis",

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T1 - On convergence of galerkin's approximations for the regularized 3D periodic navier-stokes equations

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AB - Regularization of the Navier-Stokes equations by adding hyperviscosity term μ(-Δ2), μ > 0 is considered. We proved convergence of Galerkin's approximations to the strong generalized solution of the regularized Navier-Stokes equations; existence and uniqueness of the strong generalized solution.

KW - Galerkin's method

KW - Hyperviscosity

KW - Navier-stokes equations

KW - Regularization

KW - Strong solution

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M3 - Artículo

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VL - 14

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EP - 112

JO - Communications in Mathematical Analysis

JF - Communications in Mathematical Analysis

IS - 2

ER -

On convergence of galerkin's approximations for the regularized 3D periodic navier-stokes equations

Abstract

Keywords

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