English(EN) Computer-assisted global regularity across nonlinear families of three-dimensional periodic Navier-Stokes flows

新框架确立Navier-Stokes流的全局正则性

作者 PulseAugur 编辑部 · [1 个来源] · 2026-09-16 04:00

开发了一个新的计算机辅助框架，用于确立三维周期性Navier-Stokes流的全局正则性。该方法结合了有限参考轨迹和公共误差界限，在谱截断前保留了完整的非线性残差，并控制演化直到粘性衰减保证正则性。应用于各种流场已产生明确的扰动半径，并包括了超出标准标准的初始条件，通过参数均匀扩展涵盖了一系列非Beltrami Taylor-Green中心。该框架还通过广泛的配置数据和匹配的神经算子实验，将数学可观测量与谱传递和涡旋几何联系起来，展示了物理信息训练如何有助于严格计算。 AI

影响物理信息AI训练可以增强复杂模拟中证明限制条件的发现。

排序理由学术论文，详细介绍了流体动力学的新计算框架。[lever_c_demoted from research: ic=1 ai=0.7]

在 arXiv cs.LG 阅读 →

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arXiv cs.LG TIER_1 English(EN) · Jose Luis Lima de Jesus Silva · 2026-09-16 04:00

三维周期性Navier-Stokes流非线性族中的计算机辅助全局正则性

arXiv:2609.16157v1 Announce Type: cross Abstract: Numerical simulations reveal how vortices stretch and transfer energy, but establishing smooth evolution requires bounds that remain valid beyond the simulated resolution. Here I develop a computer-assisted framework that establis…

本文如何被排名

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三维周期性Navier-Stokes流非线性族中的计算机辅助全局正则性

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