Solvability of a problem for the equations of dynamics of one-temperature mixtures of heat-conducting viscous compressible fluids
- Authors: Mamontov A.E.1, Prokudin D.A.1
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Affiliations:
- Lavrentyev Institute of Hydrodynamics of Siberian Branch of Russian Academy of Sciences
- Issue: Vol 486, No 2 (2019)
- Pages: 159-162
- Section: Mathematics
- URL: https://journals.eco-vector.com/0869-5652/article/view/13412
- DOI: https://doi.org/10.31857/S0869-56524862159-162
- ID: 13412
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Abstract
A system of partial differential equations governing the three-dimensional unsteady flow of a homogeneous two-component mixture of heat-conducting viscous compressible fluids (gases) is considered within the multivelocity approach. The model is complete in the sense that it retains all terms in the equations, which are a natural generalization of the Navier-Stokes-Fourier model for the motion of a single-component medium. The existence of weak solutions to the initial-boundary value problem describing the flow in a bounded domain is proved globally in time and the input data.
About the authors
A. E. Mamontov
Lavrentyev Institute of Hydrodynamics of Siberian Branch of Russian Academy of Sciences
Author for correspondence.
Email: aem@hydro.nsc.ru
Russian Federation, 15, Lavrentiev prospect, Novosibirsk, 630090
D. A. Prokudin
Lavrentyev Institute of Hydrodynamics of Siberian Branch of Russian Academy of Sciences
Email: aem@hydro.nsc.ru
Russian Federation, 15, Lavrentiev prospect, Novosibirsk, 630090
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