1 citations · 1 across the 6 of their papers we have counts for
Showing 2024 · math.APShow all
2 papers · 2 filters
math.AP2024
Sharp bounds on the attractor dimensions for damped wave equations
A. A. Ilyin, A. G. Kostianko, S. V. Zelik
We give the explicit estimates of order (with logarithmic correction in the 1D case) for the fractal dimension of the attractor of the damped hyperbolic equation (or syste…
math.AP2024
Restoring the Navier--Stokes dynamics by determining functionals depending on pressure
A. Ilyin, V. Kalantarov, A. Kostianko +1
For 2D Navier--Stokes equations in a bounded smooth domain, we construct a system of determining functionals which consists of linear continuous functionals which depend on pre…