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math.AP2025
Attractors and their dimensions for the 3D Fractional Navier--Stokes--Voigt Equations
Alexei Ilyin, Varga Kalantarov, Sergey Zelik
We study the dimensions of the attractors for the fractional Navier--Stokes--Voigt equations. These equations, which include a fractional order of the Stokes operator applied to th…
math.AP2025
Attractor of the limiting Navier--Stokes--Voigt system in
Alexei Ilyin, Varga Kalantarov, Sergey Zelik
The Navier--Stokes--Voigt system in the whole four-dimensional space is considered. Although we do not know any physical reasons to consider this system in space dimension four, th…