Thin Film Equations with Nonlinear Deterministic and Stochastic Perturbations

Autor:	Kapustyan, Oleksiy, Martynyuk, Olha, Misiats, Oleksandr, Stanzhytskyi, Oleksandr
Rok vydání:	2023
Předmět:	Mathematics - Analysis of PDEs Mathematics - Probability
Druh dokumentu:	Working Paper
Popis:	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.
Databáze:	arXiv
Externí odkaz:	http://arxiv.org/abs/2307.12665 Zobrazit plný text záznamu View this record from Arxiv