三维不可压缩Navier-Stokes方程的新的全局正则性结果

Q1 Mathematics

Partial Differential Equations in Applied Mathematics Pub Date : 2025-09-26 DOI:10.1016/j.padiff.2025.101306

Abdelhafid Younsi

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引用次数: 0

摘要

本文建立了小粘度大初始数据下三维不可压缩Navier-Stokes系统强解的全局时间存在性。所得结果在有界域和整个空间内都是有效的。这一结果为物理学和数学中的重大开放问题提供了有价值的见解。

本文章由计算机程序翻译，如有差异，请以英文原文为准。

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New global regularity result for the 3D incompressible Navier–Stokes equations

In this paper we establish the global existence in time of strong solutions to the 3D incompressible Navier–Stokes system for small viscosity and large initial data. The obtained result is valid in bounded domains and in the whole space. This result provides valuable insights into significant open problems in both physics and mathematics.

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