Application of analytic functions to the global solvabilty of the Cauchy problem for equations of Navier-Stokes

Author(s)
Asset Durmagambetov

ABSTRACT

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.

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.

Cite this paper

Durmagambetov, A. (2010) Application of analytic functions to the global solvabilty of the Cauchy problem for equations of Navier-Stokes.*Natural Science*, **2**, 338-356. doi: 10.4236/ns.2010.24042.

Durmagambetov, A. (2010) Application of analytic functions to the global solvabilty of the Cauchy problem for equations of Navier-Stokes.

References

[1] Durmagambetov, A.A. and Fazylova, L.S. (1997) Some methods of solving nonlinear equations. Herald of the Karaganda University, Publishers KarGU, Karaganda, 1, 6-17.

[2] Durmagambetov, A.A. (1996) Inverse problem of quantum theory of scattering. International Conference on Inverse and III-Posed Problems, Moscow, 57, 27-30.

[3] Leray, J. (1934) Sur le mouvement d’un liquide visquex emp- lissant l’espace. Acta Math, 63, 193-248.

[4] Novikov, R.G. and Henkin G.M. (1987) Equation in multidimensional inverse problem of scattering. Success in Mathematics, N3, 93-152.

[5] Faddeev, L.D. (1974) Inverse problem of quantum theory of scattering. Modern Problems of Math-Ematicians, VINITI, 3, 93-180.

[6] Ramm, A.G. (1992) Multidimensional inverse scattering problems. Pitman Monographs and Surveys in Pure and Applied Mathematics, Longman Scientific Technical, Haplow, 51, 379.

[7] Rid, M. and Saymon, B. (1982) Methods of modern mathematic physics. Theory of Scattering, Vol. 3, M.: Mir.

[8] Povzner, A. (1953) About decomposition of functions, into eigenfunctions of operator Mathe- matics Collection, 32(74), 108-156.

[9] Rid, M. and Saymon, B. (1982) Methods of modern mathematic physics. Analysis of Operators, 4, M.: Mir.

[10] Ladyzhenskaya, O.A. (1970) Mathematic problems of viscous incondensable liquid dynamics. M.: Science.

[1] Durmagambetov, A.A. and Fazylova, L.S. (1997) Some methods of solving nonlinear equations. Herald of the Karaganda University, Publishers KarGU, Karaganda, 1, 6-17.

[2] Durmagambetov, A.A. (1996) Inverse problem of quantum theory of scattering. International Conference on Inverse and III-Posed Problems, Moscow, 57, 27-30.

[3] Leray, J. (1934) Sur le mouvement d’un liquide visquex emp- lissant l’espace. Acta Math, 63, 193-248.

[4] Novikov, R.G. and Henkin G.M. (1987) Equation in multidimensional inverse problem of scattering. Success in Mathematics, N3, 93-152.

[5] Faddeev, L.D. (1974) Inverse problem of quantum theory of scattering. Modern Problems of Math-Ematicians, VINITI, 3, 93-180.

[6] Ramm, A.G. (1992) Multidimensional inverse scattering problems. Pitman Monographs and Surveys in Pure and Applied Mathematics, Longman Scientific Technical, Haplow, 51, 379.

[7] Rid, M. and Saymon, B. (1982) Methods of modern mathematic physics. Theory of Scattering, Vol. 3, M.: Mir.

[8] Povzner, A. (1953) About decomposition of functions, into eigenfunctions of operator Mathe- matics Collection, 32(74), 108-156.

[9] Rid, M. and Saymon, B. (1982) Methods of modern mathematic physics. Analysis of Operators, 4, M.: Mir.

[10] Ladyzhenskaya, O.A. (1970) Mathematic problems of viscous incondensable liquid dynamics. M.: Science.