%0 Journal Article %T Application of analytic functions to the global solvabilty of the Cauchy problem for equations of Navier-Stokes %A Asset Durmagambetov %J Natural Science %P 338-356 %@ 2150-4105 %D 2010 %I Scientific Research Publishing %R 10.4236/ns.2010.24042 %X The interrelation between analytic functions and real-valued functions is formulated in the work. It is shown such an interrelation realizes nonlinear representations for real-valued functions that allow to develop new methods of estimation for them. These methods of estimation are approved by solving the Cauchy problem for equations of viscous incompressible liquid. %K Shrdinger %K Cauchy Problem %U http://www.scirp.org/journal/PaperInformation.aspx?PaperID=1727