Asymptotic behaviour of solutions to stochastic three-dimensional globally modified Navier–Stokes equations

IF 1.1 2区经济学 Q3 BUSINESS, FINANCE

Finance and Stochastics Pub Date : 2022-11-27 DOI:10.1080/17442508.2022.2147005

C. T. Anh, N. Thanh, Phan Thi Hong Tuyet

引用次数: 1

Abstract

We consider 3D stochastic globally modified Navier–Stokes equations in bounded domains with homogeneous Dirichlet boundary conditions and infinite dimensional Wiener process. We study stability properties of stationary solutions. We also show that one can stabilize an unstable stationary solution by using a multiplicative Itô noise of sufficient intensity or a linear internal feedback controller with support large enough.

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随机三维全局修正Navier-Stokes方程解的渐近行为

研究了具有齐次Dirichlet边界条件和无限维Wiener过程的有界区域上三维随机全局修正Navier-Stokes方程。我们研究了固定解的稳定性。我们还表明，可以通过使用足够强度的乘性Itô噪声或支持足够大的线性内反馈控制器来稳定不稳定的平稳解。

本文章由计算机程序翻译，如有差异，请以英文原文为准。

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来源期刊

Finance and Stochastics 管理科学-数学跨学科应用

CiteScore

2.90

自引率

5.90%

发文量

审稿时长

>12 weeks

期刊介绍： The purpose of Finance and Stochastics is to provide a high standard publication forum for research - in all areas of finance based on stochastic methods - on specific topics in mathematics (in particular probability theory, statistics and stochastic analysis) motivated by the analysis of problems in finance. Finance and Stochastics encompasses - but is not limited to - the following fields: - theory and analysis of financial markets - continuous time finance - derivatives research - insurance in relation to finance - portfolio selection - credit and market risks - term structure models - statistical and empirical financial studies based on advanced stochastic methods - numerical and stochastic solution techniques for problems in finance - intertemporal economics, uncertainty and information in relation to finance.