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math.AP2023
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…
math.AP2023
Thin Film Equations with Nonlinear Deterministic and Stochastic Perturbations
Oleksiy Kapustyan, Olha Martynyuk, Oleksandr Misiats +1
In this paper we consider stochastic thin-film equation with nonlinear drift terms, colored Gaussian Stratonovych noise, as well as nonlinear colored Wiener noise. By means of Trot…