On role of Riccati equation in the theory of transonic gas-dynamic flows
Matematičeskoe modelirovanie, Tome 2 (1990) no. 9, pp. 105-113
N. Yu. Kapustin; K. B. Sabitov. On role of Riccati equation in the theory of transonic gas-dynamic flows. Matematičeskoe modelirovanie, Tome 2 (1990) no. 9, pp. 105-113. http://geodesic.mathdoc.fr/item/MM_1990_2_9_a8/
@article{MM_1990_2_9_a8,
     author = {N. Yu. Kapustin and K. B. Sabitov},
     title = {On role of {Riccati} equation in the theory of transonic gas-dynamic flows},
     journal = {Matemati\v{c}eskoe modelirovanie},
     pages = {105--113},
     year = {1990},
     volume = {2},
     number = {9},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/MM_1990_2_9_a8/}
}
TY  - JOUR
AU  - N. Yu. Kapustin
AU  - K. B. Sabitov
TI  - On role of Riccati equation in the theory of transonic gas-dynamic flows
JO  - Matematičeskoe modelirovanie
PY  - 1990
SP  - 105
EP  - 113
VL  - 2
IS  - 9
UR  - http://geodesic.mathdoc.fr/item/MM_1990_2_9_a8/
LA  - ru
ID  - MM_1990_2_9_a8
ER  - 
%0 Journal Article
%A N. Yu. Kapustin
%A K. B. Sabitov
%T On role of Riccati equation in the theory of transonic gas-dynamic flows
%J Matematičeskoe modelirovanie
%D 1990
%P 105-113
%V 2
%N 9
%U http://geodesic.mathdoc.fr/item/MM_1990_2_9_a8/
%G ru
%F MM_1990_2_9_a8

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

The article is devoted to theTricomi problem, the generalized Tricomi problem and the Francl problem, which arise in the mathematical models of transonic flows. By using Riccati equation the uniqueness theorems of classical solutions were proved for these mathematical problems.