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Matematicheskoe modelirovanie, 1994, Volume 6, Number 10, Pages 35–45 (Mi mm1918)  

This article is cited in 17 scientific papers (total in 17 papers)

Mathematical models and computer experiment

About the uniqueness of the solutions for one dissipative equation system of hydrodynamic type

Yu. V. Sheretov

Tver State University
Abstract: Basing on formal generalisation of quasi gas dynamic equations a new variant of hydrodynamic system for incompressible viscous flows is proposed. It is shown that some exact classical solutions of Navier–Stokes equations satisfy to the proposed equation system. Dissipative character of the system is established and the analysis of the uniqueness conditions for the classical solution of the initial-boundary problem under consideration is done.
Received: 14.12.1993
Bibliographic databases:
Language: Russian
Citation: Yu. V. Sheretov, “About the uniqueness of the solutions for one dissipative equation system of hydrodynamic type”, Mat. Model., 6:10 (1994), 35–45
Citation in format AMSBIB
\Bibitem{She94}
\by Yu.~V.~Sheretov
\paper About the uniqueness of the solutions for one dissipative equation system of hydrodynamic type
\jour Mat. Model.
\yr 1994
\vol 6
\issue 10
\pages 35--45
\mathnet{http://mi.mathnet.ru/mm1918}
\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=1346916}
\zmath{https://zbmath.org/?q=an:1075.76523}
Linking options:
  • https://www.mathnet.ru/eng/mm1918
  • https://www.mathnet.ru/eng/mm/v6/i10/p35
  • This publication is cited in the following 17 articles:
    1. Yu. V. Sheretov, “O postroenii tochnykh reshenii statsionarnoi kvazigidrodinamicheskoi sistemy s pomoschyu podstanovki Linya”, Vestnik TvGU. Seriya: Prikladnaya matematika, 2023, no. 1, 36–48  mathnet  crossref  elib
    2. V. V. Grigoreva, Yu. V. Sheretov, “O novom klasse tochnykh reshenii kvazigidrodinamicheskoi sistemy, porozhdaemykh sobstvennymi funktsiyami dvumernogo operatora Laplasa”, Vestnik TvGU. Seriya: Prikladnaya matematika, 2022, no. 1, 5–17  mathnet  crossref  elib
    3. Yu. V. Sheretov, “Printsip superpozitsii reshenii kvazigidrodinamicheskoi sistemy”, Vestnik TvGU. Seriya: Prikladnaya matematika, 2022, no. 2, 60–73  mathnet  crossref  elib
    4. Yu. V. Sheretov, “O postroenii tochnykh reshenii dvumernoi kvazigidrodinamicheskoi sistemy”, Vestnik TvGU. Seriya: Prikladnaya matematika, 2021, no. 1, 5–20  mathnet  crossref  elib
    5. V. V. Grigoreva, Yu. V. Sheretov, “O tochnykh resheniyakh kvazigidrodinamicheskoi sistemy, ne udovletvoryayuschikh sistemam Nave-Stoksa i Eilera”, Vestnik TvGU. Seriya: Prikladnaya matematika, 2021, no. 2, 5–15  mathnet  crossref  elib
    6. Yu. V. Sheretov, “O resheniyakh zadachi Koshi dlya kvazigidrodinamicheskoi sistemy”, Vestnik TvGU. Seriya: Prikladnaya matematika, 2020, no. 1, 84–96  mathnet  crossref  elib
    7. Yu. V. Sheretov, “O klassakh tochnykh reshenii kvazigidrodinamicheskoi sistemy”, Vestnik TvGU. Seriya: Prikladnaya matematika, 2020, no. 2, 5–17  mathnet  crossref  elib
    8. Yu. V. Sheretov, “Tochnye resheniya kvazigidrodinamicheskoi sistemy na osnove formuly Bio–Savara”, Vestnik TvGU. Seriya: Prikladnaya matematika, 2019, no. 1, 38–49  mathnet  crossref  elib
    9. Yu. V. Sheretov, “O svoistvakh reshenii osnovnoi nachalno-kraevoi zadachi dlya kvazigidrodinamicheskikh uravnenii”, Vestnik TvGU. Seriya: Prikladnaya matematika, 2019, no. 3, 5–19  mathnet  crossref  elib
    10. Yu. V. Sheretov, “O tochnykh resheniyakh kvazigidrodinamicheskoi sistemy, udovletvoryayuschikh obobschennomu usloviyu Gromeki-Beltrami”, Vestnik TvGU. Seriya: Prikladnaya matematika, 2018, no. 3, 5–18  mathnet  crossref  elib
    11. Yu. V. Sheretov, “O tochnykh resheniyakh statsionarnykh kvazigidrodinamicheskikh uravnenii v tsilindricheskikh koordinatakh”, Vestnik TvGU. Seriya: Prikladnaya matematika, 2017, no. 1, 85–94  mathnet  crossref  elib
    12. Yu. V. Sheretov, “Ob obschikh tochnykh resheniyakh statsionarnoi sistemy Nave-Stoksa i kvazigidrodinamicheskoi sistemy, ne udovletvoryayuschikh uravneniyam Eilera”, Vestnik TvGU. Seriya: Prikladnaya matematika, 2017, no. 2, 5–15  mathnet  crossref  elib
    13. Yu. V. Sheretov, “Ob obschikh tochnykh resheniyakh sistemy Nave-Stoksa i kvazigidrodinamicheskoi sistemy dlya nestatsionarnykh techenii”, Vestnik TvGU. Seriya: Prikladnaya matematika, 2017, no. 3, 13–25  mathnet  crossref
    14. V. V. Grigoreva, Yu. V. Sheretov, “O dissipativnykh svoistvakh kvazigidrodinamicheskikh uravnenii v priblizhenii Stoksa”, Vestnik TvGU. Seriya: Prikladnaya matematika, 2016, no. 2, 95–105  mathnet  elib
    15. Sukhomozgii A.A., Sheretov Yu.V., “Kvazigidrodinamicheskie uravneniya i garmonicheskie funktsii”, Vestnik Tverskogo gosudarstvennogo universiteta. Seriya: Prikladnaya matematika, 2011, no. 23, 19–24 Quasi-hydrodynamic equations and harmonic functions  mathnet  elib
    16. Sheretov Yu.V., “Edinstvennost klassicheskogo resheniya osnovnoi nachalno-kraevoi zadachi dlya kvazigidrodinamicheskikh uravnenii”, Vestnik Tverskogo gosudarstvennogo universiteta. Seriya: Prikladnaya matematika, 2011, no. 20, 7–20 Uniqueness of classical solution of main boundary-value problem for quasi-hydrodynamic equations  mathnet  elib
    17. T. G. Elizarova, Yu. V. Sheretov, “Theoretical and numerical analysis of quasi-gasdynamic and quasi-hydrodynamic equations”, Comput. Math. Math. Phys., 41:2 (2001), 219–234  mathnet  mathscinet  zmath
    Citing articles in Google Scholar: Russian citations, English citations
    Related articles in Google Scholar: Russian articles, English articles
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