14 citations · 25 across the 18 of their papers we have counts for
4 papers · 1 filter
Reductions of the Navier-Stokes-Allen-Cahn and the Navier-Stokes-Cahn-Hilliard equations
Heinrich Freistuhler, Matthias Kotschote
This paper studies two well-known models for two-phase fluid flow at constant temperature, the isothermal Navier-Stokes-Allen-Cahn and the isothermal Navier-Stokes-Cahn-Hilliard eq…
Diffuse planar phase boundaries in a two-phase fluid with one very dense phase
Heinrich Freistuhler, Matthias Kotschote
This note studies Navier-Stokes-Allen-Cahn models for compressible fluids that are mixtures of two incompressible phases whose density ratio eps=rho_1/rho_2 is very small. Under a…
Diffuse planar phase boundaries in a two-phase fluid with one incompressible phase
Heinrich Freistuhler, Matthias Kotschote
This note studies a family of Navier-Stokes-Allen-Cahn systems parameterized by temperature. Derived from an internal energy that corresponds to one incompressible and one compress…
An analytical proof for the stability of Heimburg-Jackson pulses
Heinrich Freistühler, Johannes Höwing
This paper studies analytically the stability of solitary waves in a generalized Boussinesq equation with quadratic-cubic nonlinearity. For general values of two parameters a and b…