Solubility of unsteady equations of the three-dimensional motion of two-componentviscous compressible heat-conducting fluids
- Authors: Mamontov A.E.1,2, Prokudin D.A.3
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Affiliations:
- Lavrentyev Institute of Hydrodynamics of Siberian Branch of the Russian Academy of Sciences
- Novosibirsk State University
- Sobolev Institute of Mathematics, Siberian Branch of the Russian Academy of Sciences
- Issue: Vol 85, No 4 (2021)
- Pages: 147-204
- Section: Articles
- URL: https://journals.rcsi.science/1607-0046/article/view/133855
- DOI: https://doi.org/10.4213/im9019
- ID: 133855
Cite item
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 theexistence, globally in time and the input data, of a generalized (dissipative) solutionof the initial-boundary value problem corresponding to flows in a bounded domain.
About the authors
Alexander Evgenievich Mamontov
Lavrentyev Institute of Hydrodynamics of Siberian Branch of the Russian Academy of Sciences; Novosibirsk State University
Email: aem@hydro.nsc.ru
Doctor of physico-mathematical sciences, Associate professor
Dmitriy Alekseevich Prokudin
Sobolev Institute of Mathematics, Siberian Branch of the Russian Academy of Sciences
Email: prokudin@hydro.nsc.ru
Doctor of physico-mathematical sciences, Associate professor
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