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math.AP2026
Co-moving volumes and the Reynolds transport theorem for two-phase flows
Dieter Bothe, Matthias Köhne
We consider the local kinematics at fluid interfaces in sharp-interface two-phase flows with phase change and interfacial slip. In this setting the governing velocity field is disc…
math.AP2024
Mathematical analysis of the velocity extension level set method
Dieter Bothe, Kohei Soga
A passively advected sharp interface can be represented as the zero level set of a level set function . The linear transport equation is the sim…