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arXiv · 2307.12665

Thin Film Equations with Nonlinear Deterministic and Stochastic Perturbations

Oleksiy Kapustyan·Olha Martynyuk·Oleksandr Misiats·Oleksandr Stanzhytskyi
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Abstract

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 Trotter-Kato-type decomposition into deterministic and stochastic parts, we couple both of these dynamics via a discrete-in-time scheme, and establish its convergence to a non-negative weak martingale solution.

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Oleksiy Kapustyan, Olha Martynyuk, Oleksandr Misiats, Oleksandr Stanzhytskyi. 2023-07-24. Thin Film Equations with Nonlinear Deterministic and Stochastic Perturbations. https://arxiv.org/abs/2307.12665

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