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Differentical equations, dynamical systems and optimal control
Local solvability of an approximate problem for one-dimensional equations of dynamics of viscous compressible heat-conducting multifluids
A. E. Mamontovab, D. A. Prokudinab a Lavrentyev Institute of Hydrodynamics SB RAS, 15, Lavrent'eva ave., 630090, Novosibirsk, Russia
b Laboratory for Mathematical and Computer Modeling, Natural and Industrial Systems, Faculty of Mathematics & Information Technologies, Altai State University, 61, Lenina ave., Barnaul, 656049, Russia
Abstract:
The problem of one-dimensional unsteady motion of a heat-conducting viscous compressible multifluid (mixture of perfect gases) on a bounded interval is considered, and the viscosity matrix is not assumed to be diagonal. The first step is made in proving the solvability of this problem: the local solvability of the approximate problem (for the Galerkin approximations) is shown.
Keywords:
multicomponent viscous perfect gas, existence theorem, Galerkin method.
Received July 15, 2021, published September 6, 2021
Citation:
A. E. Mamontov, D. A. Prokudin, “Local solvability of an approximate problem for one-dimensional equations of dynamics of viscous compressible heat-conducting multifluids”, Sib. Èlektron. Mat. Izv., 18:2 (2021), 931–950
Linking options:
https://www.mathnet.ru/eng/semr1412 https://www.mathnet.ru/eng/semr/v18/i2/p931
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Abstract page: | 101 | Full-text PDF : | 33 | References: | 22 |
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