scholarly journals Global existence of strong solutions to compressible Navier–Stokes system with degenerate heat conductivity in unbounded domains

2020 ◽  
Vol 43 (4) ◽  
pp. 1543-1554
Author(s):  
Kexin Li ◽  
Xuanlin Shu ◽  
Xiaojing Xu
Keyword(s):  
Global Existence ◽  
Heat Conductivity ◽  
Stokes System ◽  
Unbounded Domains ◽  
Strong Solutions ◽  
Navier Stokes

Strong solutions to the density-dependent incompressible Cahn–Hilliard–Navier–Stokes system

2019 ◽  
Vol 16 (04) ◽  
pp. 701-742 ◽  
Author(s):  
Xiaopeng Zhao
Keyword(s):  
Stokes System ◽  
Initial Density ◽  
Local Existence ◽  
Strong Solutions ◽  
Incompressible Fluids ◽  
Navier Stokes ◽  
Initial Value ◽  
Two Phase ◽  
Density Dependent ◽  
Local Existence And Uniqueness

We study the density-dependent incompressible Cahn–Hilliard–Navier–Stokes system, which describes a two-phase flow of two incompressible fluids with different densities. We establish the local existence and uniqueness of strong solutions to the initial value problem in a bounded domain, when the initial density function enjoys a positive lower bound.

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