Geodesic
On an initial-boundary value problem which arises in the dynamics of a viscous stratified fluid
Izvestiâ vysših učebnyh zavedenij. Matematika, no. 8 (2020), pp. 59-73

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

An initial-boundary value problem is considered which describes the linear vibrations of a viscous stratified fluid with elastic membrane in a bounded vessel. We find sufficient existence conditions for a strong (with respect to the time variable) solution of the initial-boundary value problem describing the evolution of the specified hydrodynamics system.
Keywords: stratification effect in viscous fluids, differential equation in Hilbert space, Cauchy problem, strong solution. 
@article{IVM_2020_8_a6,
     author = {D. O. Tsvetkov},
     title = {On an initial-boundary value problem which arises in the dynamics of a viscous stratified fluid},
     journal = {Izvesti\^a vys\v{s}ih u\v{c}ebnyh zavedenij. Matematika},
     pages = {59--73},
     publisher = {mathdoc},
     number = {8},
     year = {2020},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/IVM_2020_8_a6/}
}
TY  - JOUR
AU  - D. O. Tsvetkov
TI  - On an initial-boundary value problem which arises in the dynamics of a viscous stratified fluid
JO  - Izvestiâ vysših učebnyh zavedenij. Matematika
PY  - 2020
SP  - 59
EP  - 73
IS  - 8
PB  - mathdoc
UR  - http://geodesic.mathdoc.fr/item/IVM_2020_8_a6/
LA  - ru
ID  - IVM_2020_8_a6
ER  - 
%0 Journal Article
%A D. O. Tsvetkov
%T On an initial-boundary value problem which arises in the dynamics of a viscous stratified fluid
%J Izvestiâ vysših učebnyh zavedenij. Matematika
%D 2020
%P 59-73
%N 8
%I mathdoc
%U http://geodesic.mathdoc.fr/item/IVM_2020_8_a6/
%G ru
%F IVM_2020_8_a6
D. O. Tsvetkov. On an initial-boundary value problem which arises in the dynamics of a viscous stratified fluid. Izvestiâ vysših učebnyh zavedenij. Matematika, no. 8 (2020), pp. 59-73. http://geodesic.mathdoc.fr/item/IVM_2020_8_a6/