On the structural stability of the Euler-Voigt and Navier-Stokes-Voigt models

被引：54

作者：

Berselli, Luigi C. ^{[1
]}

Bisconti, Luca ^{[2
]}

机构：

[1] Univ Pisa, Dipartimento Matemat Applicata U Dini, I-56127 Pisa, Italy

[2] Univ Florence, Dipartimento Matemat Applicata G Sansone, I-50139 Florence, Italy

来源：

NONLINEAR ANALYSIS-THEORY METHODS & APPLICATIONS | 2012年 / 75卷 / 01期

关键词：

Navier-Stokes and Euler; Voigt models; Singular limit; Parameter dependence; GLOBAL WELL-POSEDNESS; PERTURBATION-THEORY; SINGULAR LIMITS; FLUID; ALPHA; REGULARIZATION; VISCOSITY; EQUATIONS;

D O I：

10.1016/j.na.2011.08.011

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

We consider the Euler-Voigt equations and the Navier-Stokes-Voigt equations, which are obtained by an inviscid alpha-regularization from the corresponding equations. The main result we show is the structural stability of the system in terms of the variations of both viscosity and regularization parameters. (C) 2011 Elsevier Ltd. All rights reserved.

引用

页码：117 / 130

页数：14

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