通过噪声调整纳维埃-斯托克斯方程的平均版本
1Fakultät für Mathematik, Universität Bielefeld, 33501 Bielefeld, Germany.
Journal of dynamics and differential equations
|November 18, 2024
概括
本研究研究了一种特定的随机噪声.
科学领域:
- 流体动力学 流体动力学
- 随机局部微分方程 随机局部微分方程
背景情况:
- 确定性的三维纳维埃-斯托克斯方程 (3D NSE) 可以表现出有限时间的膨胀.
- 扰动被探索,以减轻或延迟在不良位置的决定性局部微分方程 (PDEs) 的爆发.
研究的目的:
- 为了分析Tao 2016年平均3DNSE的模型.
- 调查随机运输噪声对平均3DNSE的规范化效应.
主要方法:
- 对三维纳维埃-斯托克斯方程 (3D NSE) 的平均值进行分析.
- 评估随机运输噪声作为一个规范化技术.
主要成果:
- 特定的随机运输噪声显示了规范化的潜力.
- 该研究讨论了噪声在平均3D NSE中防止爆破的能力.
结论:
- 随机运输噪声提供了一个有希望的方法来规范平均3DNSE.
- 需要进一步分析流体动力学模型中这种噪声的规范化能力.
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