Geodesic
On one manner of constructing exact solutions of quasi-hydrodynamic system
Vestnik Tverskogo gosudarstvennogo universiteta. Seriâ Prikladnaâ matematika, no. 1 (2025), pp. 14-32

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

A new approach to constructing exact solutions of the Cauchy problem for the quasi-hydrodynamic system is proposed. Substitutions are selected that satisfy the three derived conditions. Examples of using the proposed approach are given. Particular attention is paid to solutions of the quasi-hydrodynamic system that do not satisfy either the Navier-Stokes or Euler equations. For the first time, such a solution to the Cauchy problem with variable pressure is constructed.
Mots-clés : quasi-hydrodynamic system, exact solutions.
Keywords: Navier-Stokes system, Cauchy problem 
@article{VTPMK_2025_1_a1,
     author = {Yu. V. Sheretov},
     title = {On one manner of constructing exact solutions of quasi-hydrodynamic system},
     journal = {Vestnik Tverskogo gosudarstvennogo universiteta. Seri\^a Prikladna\^a matematika},
     pages = {14--32},
     publisher = {mathdoc},
     number = {1},
     year = {2025},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/VTPMK_2025_1_a1/}
}
TY  - JOUR
AU  - Yu. V. Sheretov
TI  - On one manner of constructing exact solutions of quasi-hydrodynamic system
JO  - Vestnik Tverskogo gosudarstvennogo universiteta. Seriâ Prikladnaâ matematika
PY  - 2025
SP  - 14
EP  - 32
IS  - 1
PB  - mathdoc
UR  - http://geodesic.mathdoc.fr/item/VTPMK_2025_1_a1/
LA  - ru
ID  - VTPMK_2025_1_a1
ER  - 
%0 Journal Article
%A Yu. V. Sheretov
%T On one manner of constructing exact solutions of quasi-hydrodynamic system
%J Vestnik Tverskogo gosudarstvennogo universiteta. Seriâ Prikladnaâ matematika
%D 2025
%P 14-32
%N 1
%I mathdoc
%U http://geodesic.mathdoc.fr/item/VTPMK_2025_1_a1/
%G ru
%F VTPMK_2025_1_a1
Yu. V. Sheretov. On one manner of constructing exact solutions of quasi-hydrodynamic system. Vestnik Tverskogo gosudarstvennogo universiteta. Seriâ Prikladnaâ matematika, no. 1 (2025), pp. 14-32. http://geodesic.mathdoc.fr/item/VTPMK_2025_1_a1/