Navier-Stokes Equations—Millennium Prize Problems

• 作者: Asset A. Durmagambetov Leyla S. Fazilova
• 来源期刊: 自然科学期刊(英文)
• 学科: 数学
• 关键词: Schr?dinger’s Equation Potential Scattering Amplitude CAUCHY PROBLEM Navier-Stokes Equations Fourier Transform The Global SOLVABILITY and Uniqueness of the CAUCHY PROBLEM The Loss of Smoothness The MILLENNIUM PRIZE PROBLEMS
• 年，卷（期）: 2015,（2）
• 页码范围: 88-99
• 页数: 12页
• 分类号: O1

摘要

In this work, we present final solving Millennium Prize Problems formulated by Clay Math. Inst., Cambridge. A new uniform time estimation of the Cauchy problem solution for the Navier-Stokes equations is provided. We also describe the loss of smoothness of classical solutions for the Navier-Stokes equations.