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Contemporary Mathematics. Fundamental Directions, 2019, Volume 65, Issue 1, Pages 33–43
DOI: https://doi.org/10.22363/2413-3639-2019-65-1-33-43 (Mi cmfd373) 		 
Application of $A$-analytic functions to the investigation of the Cauchy problem for a stationary poroelasticity system

Kh. Kh. Imomnazarova, N. M. Jabborovb

a Institute of Computational Mathematics and Mathematical Geophysics, Siberian Branch of Russian Academy of Sciences, Novosibirsk, Russia
b National University of Uzbekistan named after M. Ulugbek, Tashkent, Uzbekistan
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DOI: https://doi.org/10.22363/2413-3639-2019-65-1-33-43
Abstract: In a reversible hydrodynamic approximation, a closed system of second-order dynamic equations with respect to the displacement vector of an elastic porous body and pore pressure has been obtained. The Cauchy problem for the obtained system of poroelasticity equations in the stationary case is considered. The Carleman formula for the Cauchy problem under consideration has been constructed.
Funding agency Grant number
Russian Foundation for Basic Research 16-01-00729_а
Document Type: Article
UDC: 517.958
Language: Russian
Citation: Kh. Kh. Imomnazarov, N. M. Jabborov, “Application of $A$-analytic functions to the investigation of the Cauchy problem for a stationary poroelasticity system”, Contemporary problems in mathematics and physics, CMFD, 65, no. 1, Peoples' Friendship University of Russia, M., 2019, 33–43
Citation in format AMSBIB
\Bibitem{ImoZha19}
\by Kh.~Kh.~Imomnazarov, N.~M.~Jabborov
\paper Application of $A$-analytic functions to the investigation of the Cauchy problem for a stationary poroelasticity system
\inbook Contemporary problems in mathematics and physics
\serial CMFD
\yr 2019
\vol 65
\issue 1
\pages 33--43
\publ Peoples' Friendship University of Russia
\publaddr M.
\mathnet{http://mi.mathnet.ru/cmfd373}
\crossref{https://doi.org/10.22363/2413-3639-2019-65-1-33-43}
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