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Prikladnaya Mekhanika i Tekhnicheskaya Fizika, 1989, Volume 30, Issue 2, Pages 34–40 (Mi pmtf4579)  

This article is cited in 49 scientific papers (total in 49 papers)

Two classes of solutions of the fluid and gas mechanics equations and their connection to traveling wave theory

A. F. Sidorov

Sverdlovsk
Received: 03.08.1988
English version:
Journal of Applied Mechanics and Technical Physics, 1989, Volume 30, Issue 2, Pages 197–203
DOI: https://doi.org/10.1007/BF00852164
Document Type: Article
UDC: 533.6.011
Language: Russian
Citation: A. F. Sidorov, “Two classes of solutions of the fluid and gas mechanics equations and their connection to traveling wave theory”, Prikl. Mekh. Tekh. Fiz., 30:2 (1989), 34–40; J. Appl. Mech. Tech. Phys., 30:2 (1989), 197–203
Citation in format AMSBIB
\Bibitem{Sid89}
\by A.~F.~Sidorov
\paper Two classes of solutions of the fluid and gas mechanics equations and their connection to traveling wave theory
\jour Prikl. Mekh. Tekh. Fiz.
\yr 1989
\vol 30
\issue 2
\pages 34--40
\mathnet{http://mi.mathnet.ru/pmtf4579}
\transl
\jour J. Appl. Mech. Tech. Phys.
\yr 1989
\vol 30
\issue 2
\pages 197--203
\crossref{https://doi.org/10.1007/BF00852164}
Linking options:
  • https://www.mathnet.ru/eng/pmtf4579
  • https://www.mathnet.ru/eng/pmtf/v30/i2/p34
  • This publication is cited in the following 49 articles:
    1. A. A. Azanov, E. N. Lemeshkova, “Qualitative Properties of the Solution of a Conjugate Problem of Thermal Convection”, jour, 165:4 (2024), 326  crossref
    2. E. Yu. Prosviryakov, O. A. Ledyankina, L. S. Goruleva, “Exact Solutions to the Navier–Stokes Equations for Describing the Flow of Multicomponent Fluids with Internal Heat Generation”, Russ. Aeronaut., 67:1 (2024), 60  crossref
    3. Evgenii Yu. Prosviryakov, Larisa S. Goruleva, Mikhail Yu. Alies, “A class of exact solutions of the Oberbeck-Boussinesq equations with the Rayleigh dissipative function”, CPM, 26:2 (2024), 164  crossref
    4. E.Yu. Prosviryakov, O.A. Ledyankina, L.S. Goruleva, “Exact solutions of the Navier-Stokes equations in the Boussinesq approximation for describing the flow of binary fluids”, Procedia Structural Integrity, 65 (2024), 185  crossref
    5. Evgenii S. Baranovskii, Sergey V. Ershkov, Evgenii Yu. Prosviryakov, Alexander V. Yudin, “Exact Solutions to the Oberbeck–Boussinesq Equations for Describing Three-Dimensional Flows of Micropolar Liquids”, Symmetry, 16:12 (2024), 1669  crossref
    6. E. Yu. Prosviryakov, O. A. Ledyankina, L. S. Goruleva, “A Class of Exact Solutions of Magnetic Hydrodynamics Equations for Describing Convective Flows of Multilayer Fluids”, Russ. Aeronaut., 67:3 (2024), 550  crossref
    7. Natalya Burmasheva, Sergey Ershkov, Evgeniy Prosviryakov, Dmytro Leshchenko, “Exact Solutions of Navier–Stokes Equations for Quasi-Two-Dimensional Flows with Rayleigh Friction”, Fluids, 8:4 (2023), 123  crossref
    8. E. Yu. Prosviryakov, S. A. Mikhailov, O. A. Ledyankina, L. S. Goruleva, “Exact Solutions to the Navier–Stokes Equations with the Boussinesq Approximation for Describing Binary Fluid Flows”, Russ. Aeronaut., 66:3 (2023), 500  crossref
    9. O. N. Ul'yanov, L. I. Rubina, “On Some Classes of Free Convection Motions”, Proc. Steklov Inst. Math. (Suppl.), 321:1 (2023), S239–S256  mathnet  mathnet  crossref  crossref  scopus
    10. N. V. Burmasheva, E. A. Larina, E. Yu. Prosviryakov, “Neodnorodnoe techenie Kuetta dvukhsloinoi zhidkosti”, Vestn. Sam. gos. tekhn. un-ta. Ser. Fiz.-mat. nauki, 227:3 (2023), 530–543  mathnet  crossref
    11. V. K. Andreev, E. N. Lemeshkova, “Thermal Convection of Two Immiscible Fluids in a 3D Channel with a Velocity Field of a Special Type”, Fluid Dyn, 58:7 (2023), 1246  crossref
    12. L. S. Goruleva, E. Yu. Prosviryakov, “A New Class of Exact Solutions to Magnetohydrodynamics Equations for Describing Convective Flows of Binary Fluids”, Tech. Phys., 68:10 (2023), 292  crossref
    13. Sergey Ershkov, Natalya Burmasheva, Dmytro D. Leshchenko, Evgeniy Yu. Prosviryakov, “Exact Solutions of the Oberbeck–Boussinesq Equations for the Description of Shear Thermal Diffusion of Newtonian Fluid Flows”, Symmetry, 15:9 (2023), 1730  crossref
    14. V. K. Andreev, E. N. Lemeshkova, “Thermal Cnvection of Two Immiscible Liquids in a 3D Channel with a Velocity Field of a Special Type”, Prikladnaâ matematika i mehanika, 87:2 (2023), 200  crossref
    15. Sergey V. Ershkov, Evgeniy Yu. Prosviryakov, Natalya V. Burmasheva, Victor Christianto, “Solving the Hydrodynamical System of Equations of Inhomogeneous Fluid Flows with Thermal Diffusion: A Review”, Symmetry, 15:10 (2023), 1825  crossref
    16. Larisa Goruleva, Evgenii Prosviryakov, “A New Class of Exact Solutions for Magnetohydrodynamics Equations to Describe Convective Flows of Binary Liquids”, HFIM, 25:4 (2023)  crossref
    17. N. V. Burmasheva, E. Yu. Prosviryakov, “Tochnoe reshenie tipa Kuetta – Puazeilya dlya ustanovivshikhsya kontsentratsionnykh techenii”, Uchen. zap. Kazan. un-ta. Ser. Fiz.-matem. nauki, 164, no. 4, Izd-vo Kazanskogo un-ta, Kazan, 2022, 285–301  mathnet  crossref
    18. L. S. Goruleva, E. Yu. Prosviryakov, “Nonuniform Couette–Poiseuille Shear Flow with a Moving Lower Boundary of a Horizontal Layer”, Tech. Phys. Lett., 48:7 (2022), 258  crossref
    19. V. V. Privalova, E. Yu. Prosviryakov, “A New Class of Exact Solutions of the Oberbeck–Boussinesq Equations Describing an Incompressible Fluid”, Theor Found Chem Eng, 56:3 (2022), 331  crossref
    20. Natalya V. Burmasheva, Evgeniy Yu. Prosviryakov, “Influence of the Dufour Effect on Shear Thermal Diffusion Flows”, Dynamics, 2:4 (2022), 367  crossref
    Citing articles in Google Scholar: Russian citations, English citations
    Related articles in Google Scholar: Russian articles, English articles
    Prikladnaya Mekhanika i Tekhnicheskaya Fizika Prikladnaya Mekhanika i Tekhnicheskaya Fizika
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