Recent developments in applied mathematics and mechanics: theory, experiment and practice. Devoted to the 80th anniversary of academician N.N.Yanenko

Akademgorodok, Novosibirsk, Russia, June 24 - 29, 2001

Abstracts

NIS participants

Model of nonequilibrium filtration of two-phase incompressible fluid with general nonequilibrium law and solution of some boundary problems

Gabbassov M.B., Ermagambetov T.K.

State University jf Kazakhstan (Almaty),

University of Aktubinsk (Aktubinsk)

In the report the new mathematical model of a nonequilibrium filtration of a biphase incompressible liquid with the generalized law nonequilibrium is offered which contains as the special cases both equilibrium model Muskate-Leverett, and nonequilibrium model G.I. Barenblatte. For the received model the boundary task Dirichle and one return not local regional task is considered(examined). For considered task are proved a principle of a maximum and theorem of existence of the generalized decisions from space Sobolev.

Note. Abstracts are published in author's edition

Comments

[Home]
[Conference]