scholarly journals On free boundary problem for compressible navier-stokes equations with temperature-dependent heat conductivity

2017 ◽  
Vol 22 (10) ◽  
pp. 3903-3919 ◽  
Author(s):  
Zilai Li ◽  
◽  
Zhenhua Guo ◽  
Keyword(s):  
Free Boundary ◽  
Boundary Problem ◽  
Free Boundary Problem ◽  
Heat Conductivity ◽  
Stokes Equations ◽  
Navier Stokes ◽  
Temperature Dependent ◽  
Navier Stokes Equations

scholarly journals Classical Solvability of a Free Boundary Problem for an Incompressible Viscous Fluid with a Surface Density Equation

2013 ◽  
Vol 2013 ◽  
pp. 1-9 ◽  
Author(s):  
Yoshiaki Kusaka
Keyword(s):  
Free Boundary ◽  
Boundary Problem ◽  
Free Boundary Problem ◽  
Stokes Equations ◽  
Navier Stokes ◽  
Navier Stokes Equations ◽  
Surface Mass ◽  
A Free Boundary Problem ◽  
Physical Phenomena ◽  
Density Equation

We investigate a mathematical model introduced by Shikhmurzaev to remove singularities that arise when classical hydrodynamic models are applied to certain physical phenomena. The model is described as a free boundary problem consisting of the Navier-Stokes equations and a surface mass balance equation. We prove the local-in-time solvability in Hölder spaces.

Sign in / Sign up

Export Citation Format

Share Document