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Global 1 Estimation of the Cauchy Problem Solutions to the Navier-Stokes Equation
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作者 Asset Durmagambetov Leyla Fazilova 《Applied Mathematics》 2014年第13期1903-1912,共10页
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 Nav... 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. 展开更多
关键词 Schrodinger's Equation Potential Scattering Amplitude Cauchy Problem Navier-Stokes Equations Fourier Transform global solvability and Uniqueness of the Cauchy Problem Loss of Smoothness
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Navier-Stokes Equations—Millennium Prize Problems 被引量:1
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作者 Asset A.Durmagambetov Leyla S.Fazilova 《Natural Science》 2015年第2期88-99,共12页
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 ... 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. 展开更多
关键词 Schrodinger’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
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