# Anima Anandkumar 团队用 PINN 在无外部 forcing 的 3D Euler 方程中发现稳定奇点候选

- 来源：Chubby♨️ (@kimmonismus)
- 发布时间：2026-09-08 16:32
- AIHOT 分数：60
- AIHOT 链接：https://aihot.virxact.com/items/cmtsf64mt017krodiyuwgjqqz
- 原文链接：https://x.com/kimmonismus/status/2097241719574085790

## AI 摘要

Anima Anandkumar 与同事用物理信息神经网络（PINN）在 R³ 上无外部 forcing 的 3D Euler 方程中找到数值上稳定的奇点候选。

## 正文

wtf another huge breakthrough: Prof Anima Anandkumar and colleagues used a physics-informed neural network to find a promising candidate for a singularity in the 3D Euler equations, without external forcing or boundaries.

Their neural network found a candidate in the 3D Euler equations, which describe an ideal fluid without viscosity. It needs no external force or surrounding walls to drive the process.

That makes it particularly interesting: the flow itself could generate increasingly extreme behavior until the smooth mathematical description breaks down.

A successful proof would resolve a major open question about ideal fluids. The Navier–Stokes Millennium Problem, which adds viscosity, would remain a separate challenge.

### 引用推文

> Prof. Anima Anandkumar：We have found stable singularity on 3D Euler! https://anima-ai.org/2026/09/07/stable-singularity-of-the-euler-equations-on-r3-without-forcing/ Our starting poin...