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
基金the Ministry of Education and Science of the Republic of Kazakhstan for a grant
文摘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.
基金Ministry of Education and Science of the Republic of Kazakhstan for a grant,and the“Factor”Company of System Researches for combining our efforts in this projectpart of the international project“Joint Kazakh-Indian study the influence of anthropogenic factors on atmospheric phenomena on the basis of numerical weather prediction models WRF(Weather Research and Forecasting)”,commissioned by the Ministry of Education and Science of the Republic of Kazakhstan.
文摘The analytic properties of the scattering amplitude are discussed. And, the representation of the potential by the scattering amplitude is obtained.
