The authors investigate the long-term dynamics of the three-dimensional Navier-Stokes-
Voight model of viscoelastic incompressible fluid. Specifically, upper bounds for the number …

The first half of Onsager's conjecture states that the Euler equations of an ideal
incompressible fluid conserve energy if u (⋅, t)∈ C 0, θ (T 3) with θ> 1 3. In this paper, we …

Abstract Recently, the Navier–Stokes–Voight (NSV) model of viscoelastic incompressible
fluid has been proposed as a regularization of the 3D Navier–Stokes equations for the …

We construct solutions of the magnetohydrostatic (MHS) equations in bounded domains and
on the torus in three spatial dimensions, as infinite time limits of Voigt approximations of …

We prove higher-order and a Gevrey class (spatial analytic) regularity of solutions to the
Euler-Voigt inviscid $\alpha $-regularization of the three-dimensional Euler equations of …

We illustrate how the notion of asymptotic coupling provides a flexible and intuitive
framework for proving the uniqueness of invariant measures for a variety of stochastic partial …

In this paper, we consider a non-autonomous Navier–Stokes–Voigt model, with which a
continuous process can be associated. We study the existence and relationship between …

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 study analytically and numerically the relaxation time of flow evolution governed by the
Navier-Stokes-Voigt (NSV) model. We first show that for the Taylor–Green vortex decay …

Abstract The Navier-Stokes-Voigt (NSV) model of viscoelastic incompressible fluid has been
recently proposed as a regularization of the 3D Navier-Stokes equations for the purpose of …