Geodesic
On the estimate of lifetime for solutions of the Cauchy--Kovalevskaya system with examples in hydrodynamics of ideal fluid with free surface
Contemporary Mathematics. Fundamental Directions, Proceedings of the Seminar on Differential and Functional Differential Equations supervised by A. L. Skubachevskii (Peoples' Friendship University of Russia), Tome 21 (2007), pp. 133-148

Voir la notice de l'article provenant de la source Math-Net.Ru

Equations describing nonstationary flow of ideal fluid with free surface are considered. They are investigated in conformal variables. For such equations, the correct solvability is proved in a scale of spaces of analytic functions. Constructive methods of estimation of lifetime of solutions for such equations are developed and justified. An example of numerical calculation by these methods is given. 
@article{CMFD_2007_21_a6,
     author = {R. V. Shamin},
     title = {On the estimate of lifetime for solutions of the {Cauchy--Kovalevskaya} system with examples in hydrodynamics of ideal fluid with free surface},
     journal = {Contemporary Mathematics. Fundamental Directions},
     pages = {133--148},
     publisher = {mathdoc},
     volume = {21},
     year = {2007},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/CMFD_2007_21_a6/}
}
TY  - JOUR
AU  - R. V. Shamin
TI  - On the estimate of lifetime for solutions of the Cauchy--Kovalevskaya system with examples in hydrodynamics of ideal fluid with free surface
JO  - Contemporary Mathematics. Fundamental Directions
PY  - 2007
SP  - 133
EP  - 148
VL  - 21
PB  - mathdoc
UR  - http://geodesic.mathdoc.fr/item/CMFD_2007_21_a6/
LA  - ru
ID  - CMFD_2007_21_a6
ER  - 
%0 Journal Article
%A R. V. Shamin
%T On the estimate of lifetime for solutions of the Cauchy--Kovalevskaya system with examples in hydrodynamics of ideal fluid with free surface
%J Contemporary Mathematics. Fundamental Directions
%D 2007
%P 133-148
%V 21
%I mathdoc
%U http://geodesic.mathdoc.fr/item/CMFD_2007_21_a6/
%G ru
%F CMFD_2007_21_a6
R. V. Shamin. On the estimate of lifetime for solutions of the Cauchy--Kovalevskaya system with examples in hydrodynamics of ideal fluid with free surface. Contemporary Mathematics. Fundamental Directions, Proceedings of the Seminar on Differential and Functional Differential Equations supervised by A. L. Skubachevskii (Peoples' Friendship University of Russia), Tome 21 (2007), pp. 133-148. http://geodesic.mathdoc.fr/item/CMFD_2007_21_a6/