scholarly journals On the Inviscid Limit for the Compressible Navier–Stokes System in an Impermeable Bounded Domain

2013 ◽  
Vol 16 (1) ◽  
pp. 163-178 ◽  
Author(s):  
Franck Sueur
Keyword(s):  
Bounded Domain ◽  
Stokes System ◽  
Inviscid Limit ◽  
Navier Stokes

Splitting-up scheme for the stochastic Cahn–Hilliard Navier–Stokes model

2020 ◽  
Vol 21 (01) ◽  
pp. 2150005
Author(s):  
Gabriel Deugoue ◽  
Boris Jidjou Moghomye ◽  
Theodore Tachim Medjo
Keyword(s):  
Bounded Domain ◽  
Stokes System ◽  
Navier Stokes ◽  
Binary Fluids ◽  
Martingale Solution ◽  
System Models ◽  
Compactness Method ◽  
External Forces

In this paper, we consider a stochastic Cahn–Hilliard Navier–Stokes system in a bounded domain of [Formula: see text] [Formula: see text]. The system models the evolution of an incompressible isothermal mixture of binary fluids under the influence of stochastic external forces. We prove the existence of a global weak martingale solution. The proof is based on the splitting-up method as well as some compactness method.

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