21 citations · 33 across the 4 of their papers we have counts for
4 papers
Thermodynamically Consistent, Frame Indifferent Diffuse Interface Models for Incompressible Two-Phase Flows with Different Densities
H. Abels, H. Garcke, G. Grün
A new diffuse interface model for a two-phase flow of two incompressible fluids with different densities is introduced using methods from rational continuum mechanics. The model fu…
Strong Well-Posedness of a Diffuse Interface Model for a Viscous, Quasi-Incompressible Two-Phase Flow
Helmut Abels
We study a diffuse interface model for the flow of two viscous incompressible Newtonian fluids in a bounded domain. The fluids are assumed to be macroscopically immiscible, but a p…
Thermodynamically Consistent Diffuse Interface Models for Incompressible Two-Phase Flows with Different Densities
Helmut Abels, Harald Garcke, Günther Grün
A new diffuse interface model for a two-phase flow of two incompressible fluids with different densities is introduced using methods from rational continuum mechanics. The model fu…
The Cauchy problem and the martingale problem for integro-differential operators with non-smooth kernels
H. Abels M. Kassmann
We consider the linear integro-differential operator defined by \[ Lu(x) =\int_\Rn (u(x+y) - u(x) - 1_{[1,2]}(α) 1_{\{|y|\leq 2\}}(y)y \cdot \nabla u(x)) k(x,y) \sd y . \] Here…