Geodesic
Reduction of a Nonstationary Euler Hydrodynamic Equation to a System of Ordinary Differential Equations in the Plane Problem of Cavitational Flow with Boundary Control
Matematičeskie zametki, Tome 86 (2009) no. 1, pp. 37-50 Cet article a éte moissonné depuis la source Math-Net.Ru

Voir la notice de l'article

We consider the plane problem of cavitational nonstationary flow around an obstacle involving control parameters determining the change in both the velocity of the incident flow and the form of the obstacle. We obtain a system of ordinary differential equations whose solution allows us to express the head resistance force as an integral functional in the control parameters.
Mots-clés : Euler hydrodynamic equation
Keywords: cavitational flow, cavity, head resistance force, boundary control, Pontryagin optimal control, Helmholtz–Kirchhoff function. 
@article{MZM_2009_86_1_a3,
     author = {A. S. Demidov},
     title = {Reduction of a {Nonstationary} {Euler} {Hydrodynamic} {Equation} to a {System} of {Ordinary} {Differential} {Equations} in the {Plane} {Problem} of {Cavitational} {Flow} with {Boundary} {Control}},
     journal = {Matemati\v{c}eskie zametki},
     pages = {37--50},
     year = {2009},
     volume = {86},
     number = {1},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/MZM_2009_86_1_a3/}
}
TY  - JOUR
AU  - A. S. Demidov
TI  - Reduction of a Nonstationary Euler Hydrodynamic Equation to a System of Ordinary Differential Equations in the Plane Problem of Cavitational Flow with Boundary Control
JO  - Matematičeskie zametki
PY  - 2009
SP  - 37
EP  - 50
VL  - 86
IS  - 1
UR  - http://geodesic.mathdoc.fr/item/MZM_2009_86_1_a3/
LA  - ru
ID  - MZM_2009_86_1_a3
ER  - 
%0 Journal Article
%A A. S. Demidov
%T Reduction of a Nonstationary Euler Hydrodynamic Equation to a System of Ordinary Differential Equations in the Plane Problem of Cavitational Flow with Boundary Control
%J Matematičeskie zametki
%D 2009
%P 37-50
%V 86
%N 1
%U http://geodesic.mathdoc.fr/item/MZM_2009_86_1_a3/
%G ru
%F MZM_2009_86_1_a3
A. S. Demidov. Reduction of a Nonstationary Euler Hydrodynamic Equation to a System of Ordinary Differential Equations in the Plane Problem of Cavitational Flow with Boundary Control. Matematičeskie zametki, Tome 86 (2009) no. 1, pp. 37-50. http://geodesic.mathdoc.fr/item/MZM_2009_86_1_a3/

[1] L. V. Gogish, G. Yu. Stepanov, Otryvnye i kavitatsionnye techeniya, Nauka, M., 1990

[2] V. I. Vlasov, “Variatsiya konformnogo otobrazheniya pri singulyarnom deformirovanii oblasti i ee prilozhenie k teorii strui”, Analiticheskie i chislennye metody resheniya zadach matematicheskoi fiziki, Izd-vo VTs AN SSSR, M., 1989, 41–48 | MR | Zbl

[3] A. S. Demidov, “Configurations du plasma stationnaire équilibré”, Free Boundary Problems, Vol. I (Pavia, 1979), Ist. Naz. Alta Mat. Francesco Severi, Rome, 1980, 467–485 | MR | Zbl

[4] A. Badzhadi, A. S. Demidov, “Teoremy suschestvovaniya, nesuschestvovaniya i regulyarnosti v odnoi zadache so svobodnoi granitsei”, Matem. sb., 122:1 (1983), 64–81 | MR | Zbl

[5] G. Birkgof, E. Sarantonello, Strui, sledy i kaverny, Mir, M., 1964 | MR | Zbl

[6] M. I. Gurevich, Teoriya strui idealnoi zhidkosti, Nauka, M., 1979 | MR | Zbl

[7] D. V. Maklakov, Nelineinye zadachi gidrodinamiki potentsialnykh techenii s neizvestnymi granitsami, Yanus-K, M., 1997 | Zbl