Geodesic
Superposition principle for solutions of quasi-hydrodynamic system
Vestnik Tverskogo gosudarstvennogo universiteta. Seriâ Prikladnaâ matematika, no. 2 (2022), pp. 60-73

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The quasi-hydrodynamic (QHD) system was proposed by the author in 1993. It has deep connections with classical Navier-Stokes and Euler systems. In this paper the principle of superposition of solutions for nonlinear quasi-hydrodynamic system is formulated and proved. Using this approach, exact solutions are found that are common for the Navier-Stokes and QHD systems. Some of these solutions for the quasi-hydrodynamic system are constructed for the first time.
Keywords: Navier-Stokes system
Mots-clés : quasi-hydrodynamic system, exact solutions, superposition principle. 
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     author = {Yu. V. Sheretov},
     title = {Superposition principle for solutions of quasi-hydrodynamic system},
     journal = {Vestnik Tverskogo gosudarstvennogo universiteta. Seri\^a Prikladna\^a matematika},
     pages = {60--73},
     publisher = {mathdoc},
     number = {2},
     year = {2022},
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     url = {http://geodesic.mathdoc.fr/item/VTPMK_2022_2_a4/}
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Yu. V. Sheretov. Superposition principle for solutions of quasi-hydrodynamic system. Vestnik Tverskogo gosudarstvennogo universiteta. Seriâ Prikladnaâ matematika, no. 2 (2022), pp. 60-73. http://geodesic.mathdoc.fr/item/VTPMK_2022_2_a4/