We establish a weak-strong uniqueness principle for the flow of two imm iscible\, incompressible and viscous fluids with surface tension under the assumption of identical viscosities and densities. As long as there exist s a strong solution to the system\, every varifold solution originating fr om the same initial condition has to coincide with it. The global-in-time existence of varifold solutions was established by H. Abels (Interfaces Fr ee Bound. 9\, 2007). The key ingredient of our result is the construction of a relative entropy functional which is capable of controlling the inter face error.

This is joint work with Julian Fischer.

LOCATION:Big Seminar room Ground floor / Office Bldg West (I21.EG.101)\, IS T Austria ORGANIZER:jdeanton@ist.ac.at SUMMARY:Weak-strong uniqueness for Navier-Stokes two-phase flow with surfac e tension URL:https://talks-calendar.app.ist.ac.at/events/1104 END:VEVENT END:VCALENDAR