---
res:
  bibo_abstract:
  - We consider the flow of two viscous and incompressible fluids within a bounded
    domain modeled by means of a two-phase Navier–Stokes system. The two fluids are
    assumed to be immiscible, meaning that they are separated by an interface. With
    respect to the motion of the interface, we consider pure transport by the fluid
    flow. Along the boundary of the domain, a complete slip boundary condition for
    the fluid velocities and a constant ninety degree contact angle condition for
    the interface are assumed. In the present work, we devise for the resulting evolution
    problem a suitable weak solution concept based on the framework of varifolds and
    establish as the main result a weak-strong uniqueness principle in 2D. The proof
    is based on a relative entropy argument and requires a non-trivial further development
    of ideas from the recent work of Fischer and the first author (Arch. Ration. Mech.
    Anal. 236, 2020) to incorporate the contact angle condition. To focus on the effects
    of the necessarily singular geometry of the evolving fluid domains, we work for
    simplicity in the regime of same viscosities for the two fluids.@eng
  bibo_authorlist:
  - foaf_Person:
      foaf_givenName: Sebastian
      foaf_name: Hensel, Sebastian
      foaf_surname: Hensel
      foaf_workInfoHomepage: http://www.librecat.org/personId=4D23B7DA-F248-11E8-B48F-1D18A9856A87
    orcid: 0000-0001-7252-8072
  - foaf_Person:
      foaf_givenName: Alice
      foaf_name: Marveggio, Alice
      foaf_surname: Marveggio
      foaf_workInfoHomepage: http://www.librecat.org/personId=25647992-AA84-11E9-9D75-8427E6697425
  bibo_doi: 10.1007/s00021-022-00722-2
  bibo_issue: '3'
  bibo_volume: 24
  dct_date: 2022^xs_gYear
  dct_identifier:
  - UT:000834834300001
  dct_isPartOf:
  - http://id.crossref.org/issn/1422-6928
  - http://id.crossref.org/issn/1422-6952
  dct_language: eng
  dct_publisher: Springer Nature@
  dct_title: Weak-strong uniqueness for the Navier–Stokes equation for two fluids
    with ninety degree contact angle and same viscosities@
...