具有卷积型噪声的随机三维纳维-斯托克斯方程解的寿命下限估计

Pub Date : 2024-04-24 DOI:10.1142/s0219025724500024

Siyu Liang

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引用次数: 0

摘要

在本文中，我们通过将随机三维纳维-斯托克斯方程转化为随机 PDE，研究了受卷积型线性乘法高斯噪声扰动的随机三维纳维-斯托克斯方程。我们的重点是自下而上地获得与规则初始数据相关的寿命边界。证明的关键点是定点论证。

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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A lower bound estimate of life span of solutions to stochastic 3D Navier–Stokes equations with convolution-type noise

In this paper, we investigate the stochastic 3D Navier–Stokes equations perturbed by linear multiplicative Gaussian noise of convolution type by transformation to random PDEs. We focus on obtaining bounds from below for the life span associated with regular initial data. The key point of the proof is the fixed point argument.

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