Geodesic
Local solvability of an approximate problem for one-dimensional equations of dynamics of viscous compressible heat-conducting multifluids
Sibirskie èlektronnye matematičeskie izvestiâ, Tome 18 (2021) no. 2, pp. 931-950

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

The problem of one-dimensional unsteady motion of a heat-conducting viscous compressible multifluid (mixture of perfect gases) on a bounded interval is considered, and the viscosity matrix is not assumed to be diagonal. The first step is made in proving the solvability of this problem: the local solvability of the approximate problem (for the Galerkin approximations) is shown.
Keywords: multicomponent viscous perfect gas, existence theorem, Galerkin method. 
@article{SEMR_2021_18_2_a46,
     author = {A. E. Mamontov and D. A. Prokudin},
     title = {Local solvability of an approximate problem for one-dimensional equations of dynamics of viscous compressible heat-conducting multifluids},
     journal = {Sibirskie \`elektronnye matemati\v{c}eskie izvesti\^a},
     pages = {931--950},
     publisher = {mathdoc},
     volume = {18},
     number = {2},
     year = {2021},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/SEMR_2021_18_2_a46/}
}
TY  - JOUR
AU  - A. E. Mamontov
AU  - D. A. Prokudin
TI  - Local solvability of an approximate problem for one-dimensional equations of dynamics of viscous compressible heat-conducting multifluids
JO  - Sibirskie èlektronnye matematičeskie izvestiâ
PY  - 2021
SP  - 931
EP  - 950
VL  - 18
IS  - 2
PB  - mathdoc
UR  - http://geodesic.mathdoc.fr/item/SEMR_2021_18_2_a46/
LA  - ru
ID  - SEMR_2021_18_2_a46
ER  - 
%0 Journal Article
%A A. E. Mamontov
%A D. A. Prokudin
%T Local solvability of an approximate problem for one-dimensional equations of dynamics of viscous compressible heat-conducting multifluids
%J Sibirskie èlektronnye matematičeskie izvestiâ
%D 2021
%P 931-950
%V 18
%N 2
%I mathdoc
%U http://geodesic.mathdoc.fr/item/SEMR_2021_18_2_a46/
%G ru
%F SEMR_2021_18_2_a46
A. E. Mamontov; D. A. Prokudin. Local solvability of an approximate problem for one-dimensional equations of dynamics of viscous compressible heat-conducting multifluids. Sibirskie èlektronnye matematičeskie izvestiâ, Tome 18 (2021) no. 2, pp. 931-950. http://geodesic.mathdoc.fr/item/SEMR_2021_18_2_a46/