We consider the Euler–Voigt equations and the Navier–Stokes–Voigt equations, which are obtained by an inviscid α-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.
On the structural stability of the EulerVoigt and NavierStokesVoigt models / Berselli, Luigi C; Bisconti, Luca. - In: NONLINEAR ANALYSIS. - ISSN 0362-546X. - STAMPA. - 75:(2012), pp. 117-130. [10.1016/j.na.2011.08.011]
On the structural stability of the EulerVoigt and NavierStokesVoigt models
BISCONTI, LUCA
2012
Abstract
We consider the Euler–Voigt equations and the Navier–Stokes–Voigt equations, which are obtained by an inviscid α-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.
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