Random attractors for the stochastic Nernst–Planck–Navier–Stokes system with multiplicative white noise
Year: 2026
Type: article
Abstract: In this paper, we consider the 2D periodic stochastic Nernst–Planck–Navier–Stokes equations with body forces perturbed by multiplicative white noise. We first transform the stochastic Nernst–Planck–Navier–Stokes system into the deterministic system and address the problem of global well-posedness of the solution. Then, we generate a corresponding random dynamical system and dedicate to proving the existence of a compact random attractor for such random dynamical system. Furthermore, upper semicontinuity of the random attractor is established when the noise intensity approaches zero.
Source: Stochastics and Dynamics
Authors: Yangyang Wu, Gaocheng Yue
Institution: Nanjing University of Aeronautics and Astronautics
Language: English
Subfield: Control and Systems Engineering
Field: Engineering
Domain: Physical Sciences
Open Access status: green
OpenAlex ID: W4405253275