Geodesic
Exact solutions of quasi-hydrodynamic system on the base of Biot-Savart formula
Vestnik Tverskogo gosudarstvennogo universiteta. Seriâ Prikladnaâ matematika, no. 1 (2019), pp. 38-49

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

The quasi-hydrodynamic system for a slightly compressible viscous fluid was proposed by the author in 1993. In the work new exact solutions of this system for steady-state flows are constructed. They also satisfy to Euler and Navier-Stokes systems. The velocity field is calculated as the sum of Biot-Savart integral and gradient of harmonic function. The substantiation of the approach is made, the corresponding theorems are proved. Physical interpretation of solutions is given. The meaning of included constants is clarified.
Mots-clés : quasi-hydrodynamic system, exact solutions, Biot-Savart formula.
Keywords: Euler and Navier-Stokes equations 
@article{VTPMK_2019_1_a3,
     author = {Yu. V. Sheretov},
     title = {Exact solutions of quasi-hydrodynamic system on the base of {Biot-Savart} formula},
     journal = {Vestnik Tverskogo gosudarstvennogo universiteta. Seri\^a Prikladna\^a matematika},
     pages = {38--49},
     publisher = {mathdoc},
     number = {1},
     year = {2019},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/VTPMK_2019_1_a3/}
}
TY  - JOUR
AU  - Yu. V. Sheretov
TI  - Exact solutions of quasi-hydrodynamic system on the base of Biot-Savart formula
JO  - Vestnik Tverskogo gosudarstvennogo universiteta. Seriâ Prikladnaâ matematika
PY  - 2019
SP  - 38
EP  - 49
IS  - 1
PB  - mathdoc
UR  - http://geodesic.mathdoc.fr/item/VTPMK_2019_1_a3/
LA  - ru
ID  - VTPMK_2019_1_a3
ER  - 
%0 Journal Article
%A Yu. V. Sheretov
%T Exact solutions of quasi-hydrodynamic system on the base of Biot-Savart formula
%J Vestnik Tverskogo gosudarstvennogo universiteta. Seriâ Prikladnaâ matematika
%D 2019
%P 38-49
%N 1
%I mathdoc
%U http://geodesic.mathdoc.fr/item/VTPMK_2019_1_a3/
%G ru
%F VTPMK_2019_1_a3
Yu. V. Sheretov. Exact solutions of quasi-hydrodynamic system on the base of Biot-Savart formula. Vestnik Tverskogo gosudarstvennogo universiteta. Seriâ Prikladnaâ matematika, no. 1 (2019), pp. 38-49. http://geodesic.mathdoc.fr/item/VTPMK_2019_1_a3/