Analysis Of Cross Diffusion Systems For Fluid Mixtures Driven By A Pressure Gradient
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Author | : Pierre-Étienne Druet |
Publisher | : |
Total Pages | : |
Release | : 2019 |
Genre | : |
ISBN | : |
Download Analysis of Cross-diffusion Systems for Fluid Mixtures Driven by a Pressure Gradient Book in PDF, Epub and Kindle
The convective transport in a multicomponent isothermal compressible fluid subject to the mass continuity equations is considered. The velocity is proportional to the negative pressure gradient, according to Darcy’s law, and the pressure is defined by a state equation imposed by the volume extension of the mixture. These model assumptions lead to a parabolic-hyperbolic system for the mass densities. The global-in-time existence of classical and weak solutions is proved in a bounded domain with no-penetration boundary conditions. The idea is to decompose the system into a porous-medium-type equation for the volume extension and transport equations for the modified number fractions. The existence proof is based on parabolic regularity theory, the theory of renormalized solutions, and an approximation of the velocity field.
Author | : |
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Total Pages | : 568 |
Release | : 1973 |
Genre | : Mechanics, Applied |
ISBN | : |
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Author | : David E. Sadava |
Publisher | : Macmillan |
Total Pages | : 388 |
Release | : 2006-12-22 |
Genre | : Science |
ISBN | : 9780716778936 |
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Author | : A. P. Thompson |
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Total Pages | : 3 |
Release | : 1998 |
Genre | : Chemical engineering |
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Total Pages | : 192 |
Release | : 1972 |
Genre | : Energy development |
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Author | : Britton Chance |
Publisher | : Elsevier |
Total Pages | : 413 |
Release | : 2013-10-22 |
Genre | : Science |
ISBN | : 1483271714 |
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Total Pages | : 1060 |
Release | : 1997-04 |
Genre | : Fluids |
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Publishes papers that report results of research in statistical physics, plasmas, fluids, and related interdisciplinary topics. There are sections on (1) methods of statistical physics, (2) classical fluids, (3) liquid crystals, (4) diffusion-limited aggregation, and dendritic growth, (5) biological physics, (6) plasma physics, (7) physics of beams, (8) classical physics, including nonlinear media, and (9) computational physics.
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Total Pages | : 568 |
Release | : 1980 |
Genre | : Hydrology |
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Total Pages | : 704 |
Release | : 1995 |
Genre | : Aeronautics |
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Author | : Dongqing Li |
Publisher | : Springer Science & Business Media |
Total Pages | : 2242 |
Release | : 2008-08-06 |
Genre | : Technology & Engineering |
ISBN | : 0387324682 |
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