The paper is concerned with the problem of regularization by noise of 3D Navier–Stokes equations. As opposed to several attempts made with additive noise which remained inconclusive, we show here that a suitable multiplicative noise of transport type has a regularizing effect. It is proven that stochastic transport noise provides a bound on vorticity which gives well posedness, with high probability. The result holds for sufficiently large noise intensity and sufficiently high spectrum of the noise.

中文翻译：

---

高模输运噪声改善了3D Navier–Stokes方程中的涡度爆破控制

本文涉及3D Navier–Stokes方程的噪声正则化问题。与尚无定论的加性噪声​​的几次尝试相反，我们在这里表明合适的传输类型乘性噪声具有正则化作用。事实证明，随机的运输噪声为涡度提供了一定的限制，而涡旋具有很好的适度性，而且概率很高。结果保持足够大的噪声强度和足够高的噪声频谱。