431 citations · 1.1k across the 42 of their papers we have counts for
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Existence and stability of periodic solutions in a neural field equation
Karina Kolodina, Vadim Kostrykin, Anna Oleynik
We study the existence and linear stability of stationary periodic solutions to a neural field model, an intergo-differential equation of the Hammerstein type. Under the assumption…
Diagonalization of indefinite saddle point forms
Luka Grubišić, Vadim Kostrykin, Konstantin A. Makarov +2
We obtain sufficient conditions that ensure block diagonalization (by a direct rotation) of sign-indefinite symmetric sesquilinear forms as well as the associated operators that ar…
The Tan -Theorem in Fluid Dynamics
Luka Grubišić, Vadim Kostrykin, Konstantin A. Makarov +2
We show that the generalized Reynolds number (in fluid dynamics) introduced by Ladyzhenskaya is closely related to the rotation of the positive spectral subspace of the Stokes bloc…