A. Volkov

collaborators

2 papers

math.GN2026

Simple closed curves contained in~ $ε$ -boundaries of planar sets

Aleksei Volkov, Mikhail Patrakeev

The $ε$ -boundary of a set $A \subseteq R^{2}$ is the set ${p \in R^{2} : I ¨ (p, A) = ε}$ , where $I ¨ $ is the Euclidean distance. We prove that if $…

math.AP2024

Lyapunov stability of the equilibrium of the non-local continuity equation

Yurii Aveboukh, Aleksei Volkov

The paper is concerned with the development of Lyapunov methods for the analysis of equilibrium stability in a dynamical system on the space of probability measures driven by a non…

Simple closed curves contained in~ε-boundaries of planar sets

Lyapunov stability of the equilibrium of the non-local continuity equation

Simple closed curves contained in~ $ε$ -boundaries of planar sets