Stationary Cahn–Hilliard–Navier–Stokes equations for the diffuse interface model of compressible flows
2020 ◽
Vol 30
(12)
◽
pp. 2445-2486
Keyword(s):
A system of partial differential equations for a diffusion interface model is considered for the stationary motion of two macroscopically immiscible, viscous Newtonian fluids in a three-dimensional bounded domain. The governing equations consist of the stationary Navier–Stokes equations for compressible fluids and a stationary Cahn–Hilliard type equation for the mass concentration difference. Approximate solutions are constructed through a two-level approximation procedure, and the limit of the sequence of approximate solutions is obtained by a weak convergence method. New ideas and estimates are developed to establish the existence of weak solutions with a wide range of adiabatic exponent.
2014 ◽
Vol 24
(05)
◽
pp. 827-861
◽
Keyword(s):
1994 ◽
pp. 81-111
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Keyword(s):
1998 ◽
Vol 212
(4)
◽
pp. 269-287
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2008 ◽
Vol 366
(1873)
◽
pp. 2233-2248
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Keyword(s):