A. Volkov

collaborators

2 papers

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…

math.GN2024

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 ${p \in R^{2} : ρ (p, A) = ε}$ , where $ρ$ is the Euclidean distance. We prove that if ${A…

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

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

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