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MiS Preprint

On the Notion of Generalized Solutions of Viscous Incompressible Two-Phase Flows

Helmut Abels


In this article we review different approaches to the existence of solutions of a two-phase flow of two viscous, incompressible fluids globally in time. We compare the known results in the cases with and without surface tension. In particular, we discuss properties of the free surface/ the interface between the two fluids.

MSC Codes:
35Q30, 35Q35, 76D27, 76D45, 76T99
two-phase flow, free boundary value problems, varifold solutions, measure-valued solutions, surface tension

Related publications

2007 Repository Open Access
Helmut Abels

On the notion of generalized solutions of viscous incompressible two-phase flows

In: RIMS Kokyuroku, B1 (2007), pp. 1-19