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arXiv · 2412.05521

Random attractors for the stochastic Nernst-Planck-Navier-Stokes system with multiplicative white noise

Yang-yang Wu·Gao-cheng Yue
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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 to zero.

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Yang-yang Wu, Gao-cheng Yue. 2024-12-07. Random attractors for the stochastic Nernst-Planck-Navier-Stokes system with multiplicative white noise. https://arxiv.org/abs/2412.05521

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