Work

The Wong-Zakai approximation and the existence of stochastic attractors for the fractional Navier-Stokes-Coriolis equation

Year: 2025

Type: conference-paper

Abstract: we mainly investigate the Wong-Zakai approximation of the equation \({u}_t + \nu {( - \Delta )}^\alpha u + S{e}_3 \times u + (u \cdot \nabla )u + \nabla p = f(x,t) + h(u) \circ dW,\) besides, stochastic attractors exist. By using Euler approximation to process Brownian motion, a correlation model of fractional Navier-Stokes-Coriolis equation under approximate noise is constructed. With the help of uniform estimate and compact embedding methods, we can prove that, under the influence of approximate noise, the equation possesses stochastic attractors. On this basis, the upper semi-continuity of the stochastic attractors approximated by the equation Wong-Zakai was proved when \(\delta \to 0\).

Source: International Conference on Applied Mathematics, Modelling and Intelligent Computing (CAMMIC)

DOI: 10.1145/3745533.3745640

Authors: Yuyu Cao, Jinping Jiang, Dan Liu

Institution: Yan'an University

Language: English

Topic: Stability and Controllability of Differential Equations

Subfield: Control and Systems Engineering

Field: Engineering

Domain: Physical Sciences

Open Access status: hybrid

Funder: National Natural Science Foundation of China

Award: 无穷维动力系统的渐近行为研究