2 citations · 4 across the 5 of their papers we have counts for
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The Blesgen and Lowengrub-Truskinovsky Descriptions of Two-Phase Compressible Fluid Flow: Interstitial Working and a Reduction to Korteweg Theory
Heinrich Freistühler, Matthias Kotschote
Formulated by Blesgen and Lowengrub and Truskinovsky, the `Navier-Stokes-Allen-Cahn' (NSAC) equations and the `Navier-Stokes-Cahn-Hilliard' (NSCH) equations describe diphasic fluid…
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…
Strong solutions in the dynamical theory of compressible fluid mixtures
Matthias Kotschote, Rico Zacher
In this paper we investigate the compressible Navier-Stokes-Cahn-Hilliard equations (the so-called NSCH model) derived by Lowengrub and Truskinowsky. This model describes the flow…
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…