|
This article is cited in 14 scientific papers (total in 14 papers)
Solubility of unsteady equations of the three-dimensional motion of two-component
viscous compressible heat-conducting fluids
A. E. Mamontovab, D. A. Prokudinc a Lavrentyev Institute of Hydrodynamics of Siberian Branch of the Russian Academy of Sciences, Novosibirsk
b Novosibirsk State University
c Sobolev Institute of Mathematics, Siberian Branch of the Russian Academy of Sciences, Novosibirsk
Abstract:
We consider equations for the three-dimensional unsteady motion of mixtures of
viscous compressible heat-conducting fluids in the multi-velocity approach. We prove the
existence, globally in time and the input data, of a generalized (dissipative) solution
of the initial-boundary value problem corresponding to flows in a bounded domain.
Keywords:
global existence theorem, unsteady boundary-value problem, viscous compressible
heat-conducting fluid, homogeneous mixture with multiple velocities, multidimensional flow.
Received: 07.02.2020 Revised: 27.08.2020
Citation:
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
Linking options:
https://www.mathnet.ru/eng/im9019https://doi.org/10.1070/IM9019 https://www.mathnet.ru/eng/im/v85/i4/p147
|
|