1,720,967 research outputs found
Remarks on Global Attractors for the 3D Navier-Stokes Equations with horizontal filtering
No full textOn the convergence rates for the three-dimensional filtered Boussinesq equations
No full textIn this paper we consider a LES model for the approximation of large scales of the 3D Boussinesq equations. We analyze the convergence rate, in appropriate norms, of the unique regular weak solution of the regularized Boussinesq equations towards a weak solution of the original Boussinesq system
On the exact controllability of a Galerkin scheme for 3D viscoelastic fluids with fractional Laplacian viscosity and anisotropic filtering
No full textOn the existence of almost-periodic solutions for the 2D dissipative Euler equations
Full text linkIn this paper we study the two-dimensional dissipative Euler equations in a smooth and bounded domain. In presence of a large enough dissipative term (or equivalently a small enough external force) precise uniform estimates on the modulus of continuity of the vorticity are proved. These allow us to show existence of Stepanov almost-periodic solutions
An elementary proof of uniqueness of the particle trajectories for solutions of a class of 2D shear-thinning non-Newtonian fluids
Full text linkWe prove some regularity results for a class of two-dimensional non-Newtonian fluids. Then, by applying results from Dashti and Robinson (2009 Nonlinearity 22 735-46), we show uniqueness of particle trajectories
Exponential Attractors for the 3D Fractional-order Bardina Turbulence Model With Memory and Horizontal Filtering
No full textWe consider the 3D simplified Bardina turbulence model with horizontal filtering, fractional dissipation, and the presence of a memory term incorporating hereditary effects. We analyze the regularity properties and the dissipative nature of the considered system and, in our main result, we show the existence of a global exponential attractor in a suitable phase space
On the structural stability of the Euler-Voigt and Navier-Stokes Voigt models
No full textWe 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 parameter
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