重整化Lambert-W级联与T^3上三维Navier-Stokes方程重构b动力学的有限时间放大与爆破
Renormalized Lambert-W Cascade and Finite-Time Amplification and Blowup for reconstructed b Dynamics on T^3 for the 3D Navier Stokes Equations
AI总结：
本文整合重整化Lambert-W级联及有限时间放大机制，重构T^3上Navier-Stokes方程b_i动力学，支持其有限时间失去光滑性的结论。
摘要：
本文提取并整合了重整化Lambert-W分支点级联、其显著的相位约化、精确特征不变量与有限时间放大机制，以及在T^3上扩展的重构b_i方程。移除了重复的历史推导，同时保留了主要证明和终端重构估计。表述区分了精确有限深度陈述与耦合深度渐近，并记录了扩展PDE重构所需的假设。本文进一步支持通讯作者近期发表的论文\\(\citep{moschandreou2026exploration}\\)，该论文声称Navier-Stokes方程从光滑初值出发在有限时间内失去光滑性。
英文摘要：
This article extracts and consolidates the renormalized Lambert-$W$ branch-point cascade, its distinguished phase reduction, the exact characteristic invariant and finite-time amplification mechanism, and the extended reconstructed $b_i$ equation on $\mathbb T^3$. Repeated historical derivations are removed while the principal proofs and terminal reconstruction estimates are retained. The presentation separates exact finite-depth statements from coupled-depth asymptotics and records the hypotheses required for the extended PDE reconstruction. This paper further supports a recent paper \cite {moschandreou2026exploration} published by the corresponding author which claims that the Navier Stokes equations lose smoothness in finite time from initial smooth data.
机构、总结、中文摘要均由AI分析而来，可能存在错误，请以论文正文为准。
