Abstract:
We consider the initial boundary value problem governing unsteady polytropic motions of viscous compressible multifluids. We prove the existence and uniqueness of a strong solution to the problem.
Keywords:
existence theorem, unsteady boundary value problem, viscous compressible fluid, homogeneous mixture with multiple velocities.
Citation:
A. E. Mamontov, D. A. Prokudin, “Local solvability of the initial-boundary value problem for one-dimensional equations of polytropic flows of viscous compressible multifluids”, Sib. J. Pure and Appl. Math., 17:2 (2017), 52–68; J. Math. Sci., 231:2 (2018), 227–242
\Bibitem{MamPro17}
\by A.~E.~Mamontov, D.~A.~Prokudin
\paper Local solvability of the initial-boundary value problem for one-dimensional equations of polytropic flows of viscous compressible multifluids
\jour Sib. J. Pure and Appl. Math.
\yr 2017
\vol 17
\issue 2
\pages 52--68
\mathnet{http://mi.mathnet.ru/vngu438}
\crossref{https://doi.org/10.17377/PAM.2017.17.205}
\transl
\jour J. Math. Sci.
\yr 2018
\vol 231
\issue 2
\pages 227--242
\crossref{https://doi.org/10.1007/s10958-018-3818-9}
Linking options:
https://www.mathnet.ru/eng/vngu438
https://www.mathnet.ru/eng/vngu/v17/i2/p52
This publication is cited in the following 5 articles:
A. E. Mamontov, D. A. Prokudin, “Asymptotic Behavior of the Solution to the Initial-boundary Value Problem for One-dimensional Motions of a Barotropic Compressible Viscous Multifluid”, Lobachevskii J Math, 45:4 (2024), 1463
A. E. Mamontov, D. A. Prokudin, “Solubility of unsteady equations of the three-dimensional motion of two-component
viscous compressible heat-conducting fluids”, Izv. Math., 85:4 (2021), 755–812
A. E. Mamontov, D. A. Prokudin, “Global unique solvability of an initial-boundary value problem for the one-dimensional barotropic equations of binary mixtures of viscous compressible fluids”, J. Appl. Industr. Math., 15:1 (2021), 50–61
A E Mamontov, D A Prokudin, “Global unique solvability of the initial-boundary value problem for one-dimensional barotropic equations of viscous compressible bifluids”, J. Phys.: Conf. Ser., 1666:1 (2020), 012032
Alexander E. Mamontov, Dmitry A. Prokudin, “Global Unique Solvability of the Initial-Boundary Value Problem for the Equations of One-Dimensional Polytropic Flows of Viscous Compressible Multifluids”, J. Math. Fluid Mech., 21:1 (2019)
Citation in format AMSBIB
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