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Differentical equations, dynamical systems and optimal control
Galerkin approximations in the problem of one-dimensional unsteady motion of a viscous compressible two-component fluid
A. E. Mamontovab, D. A. Prokudinab a Lavrentyev Institute of Hydrodynamics, 15, Lavrent'eva ave., Novosibirsk, 630090, Russia
b Novosibirsk State University, 1, Pirogova str., Novosibirsk, 630090, Russia
Abstract:
We study an initial-boundary value problem which describes unsteady motions of a viscous compressible two-component fluid. We formulate an approximate problem via the Galerkin method, and prove its solvability.
Keywords:
Galerkin approximations, non-stationary boundary value problem, one-dimensional flow, viscous compressible fluid, homogeneous multi-velocity multifluid.
Received December 2, 2019, published March 17, 2020
Citation:
A. E. Mamontov, D. A. Prokudin, “Galerkin approximations in the problem of one-dimensional unsteady motion of a viscous compressible two-component fluid”, Sib. Èlektron. Mat. Izv., 17 (2020), 406–415
Linking options:
https://www.mathnet.ru/eng/semr1220 https://www.mathnet.ru/eng/semr/v17/p406
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Abstract page: | 245 | Full-text PDF : | 132 | References: | 9 |
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