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Paper detail

Stationary Cahn-Hilliard-Navier-Stokes equations for the diffuse interface model of compressible flows

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.

preprint2020arXivOpen access
Zhilei LiangDehua Wang
math.AP
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Zhilei LiangDehua Wang

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