scholarly journals Well-posedness for density-dependent incompressible fluids with non-Lipschitz velocity

2012 ◽  
Vol 62 (5) ◽  
pp. 1717-1763 ◽  
Author(s):  
Boris Haspot
Keyword(s):  
Incompressible Fluids ◽  
Well Posedness ◽  
Density Dependent

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.

scholarly journals Well-posedness of 2-D and 3-D swimming models in incompressible fluids governed by Navier–Stokes equations

2015 ◽  
Vol 429 (2) ◽  
pp. 1059-1085 ◽  
Author(s):  
Alexander Khapalov ◽  
Piermarco Cannarsa ◽  
Fabio S. Priuli ◽  
Giuseppe Floridia
Keyword(s):  
Stokes Equations ◽  
Incompressible Fluids ◽  
Navier Stokes ◽  
Well Posedness ◽  
Navier Stokes Equations
Sign in / Sign up

Export Citation Format

Share Document