3 papers
math.OC2026
Stabilization of the Marine Riser model by controllers depending on finitely many parameters
V. K. Kalantarov, A. A. Namazov, E. S. Titi
We prove global stabilization of the marine riser models using a feedback controller that depend on finitely many finite-volume elements and finitely many nodal observables. Our ap…
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…