2 citations · 2 across the 3 of their papers we have counts for
5 papers
Long Time Behavior of Stochastic Thin Film Equation
Oleksiy Kapustyan, Olha Martynyuk, Oleksandr Misiats +1
In this paper we consider a stochastic thin-film equation with a one dimensional Gaussian Stratonovych noise. We establish the existence of non-negative global weak martingale solu…
Invariant Measure for Stochastic Functional Differential Equations in Hilbert Spaces
Oleksandr Misiats, Viktoriia Mogylova, Oleksandr Stanzhytskyi
In this work we study the long time behavior of nonlinear stochastic functional-differential equations in Hilbert spaces. In particular, we start with establishing the existence an…
On minimizers of an anisotropic liquid drop model
Oleksandr Misiats, Ihsan Topaloglu
We consider a variant of Gamow's liquid drop model with an anisotropic surface energy. Under suitable regularity and ellipticity assumptions on the surface tension, Wulff shapes ar…
Singular perturbation of an elastic energy with a singular weight
Oleksandr Misiats, Ihsan Topaloglu, Daniel Vasiliu
We study the singular perturbation of an elastic energy with a singular weight. The minimization of this energy results in a multi-scale pattern formation. We derive an energy scal…
Ginzburg-Landau model with small pinning domains
Mickaël Dos Santos, Oleksandr Misiats
We consider a Ginzburg-Landau type energy with a piecewise constant pinning term in the potential . The function is different from 1 only on finitely many…