Global 1 Estimation of the Cauchy Problem Solutions to the Navier-Stokes Equation

• 作者: Asset Durmagambetov Leyla Fazilova
• 来源期刊: 应用数学(英文)
• 学科: 数学
• 关键词: Schr?dinger’s Equation Potential Scattering Amplitude CAUCHY PROBLEM Navier-Stokes Equations Fourier Transform GLOBAL SOLVABILITY and Uniqueness of the CAUCHY PROBLEM Loss of SMOOTHNESS
• 年，卷（期）: 2014,（13）
• 页码范围: 1903-1912
• 页数: 10页
• 分类号: O1

摘要

The analytic properties of the scattering amplitude are discussed, and a representation of the potential is obtained using the scattering amplitude. A uniform time estimation of the Cauchy problem solution for the Navier-Stokes equations is provided. The paper also describes the time blowup of classical solutions for the Navier-Stokes equations by the smoothness assumption.