---
res:
  bibo_abstract:
  - Both Newtonian and non-Newtonian fluids may exhibit complex slip behaviour at
    the boundary. We examine a broad class of slip boundary conditions that generalises
    the commonly used Navier slip, perfect slip, stick-slip and Tresca friction boundary
    conditions. In particular, set-valued, nonmonotone, noncoercive and dynamic relations
    may occur. For a unifying framework of such relations, we present a fully discrete
    numerical scheme for the time-dependent Navier–Stokes equations subject to impermeability
    and general slip-type boundary conditions on polyhedral domains. Based on compactness
    arguments, we prove convergence of subsequences, finally ensuring the existence
    of a weak solution. The numerical scheme uses a general inf-sup stable pair of
    finite element spaces for the velocity and pressure, a regularisation approach
    for the implicit slip boundary condition and, most importantly, a general Nitsche
    method to impose the impermeability and a backward Euler time stepping. One of
    the key tools in the convergence proof is an inhomogeneous Korn inequality that
    includes a normal trace term.@eng
  bibo_authorlist:
  - foaf_Person:
      foaf_givenName: Pablo Alexei
      foaf_name: Gazca-Orozco, Pablo Alexei
      foaf_surname: Gazca-Orozco
  - foaf_Person:
      foaf_givenName: Franz
      foaf_name: Gmeineder, Franz
      foaf_surname: Gmeineder
  - foaf_Person:
      foaf_givenName: Erika
      foaf_name: Maringová, Erika
      foaf_surname: Maringová
      foaf_workInfoHomepage: http://www.librecat.org/personId=dbabca31-66eb-11eb-963a-fb9c22c880b4
  - foaf_Person:
      foaf_givenName: Tabea
      foaf_name: Tscherpel, Tabea
      foaf_surname: Tscherpel
  bibo_doi: 10.1142/S0218202526500508
  dct_date: 2026^xs_gYear
  dct_isPartOf:
  - http://id.crossref.org/issn/0218-2025
  - http://id.crossref.org/issn/1793-6314
  dct_language: eng
  dct_publisher: World Scientific Publishing@
  dct_title: A Nitsche method for incompressible fluids with general dynamic boundary
    conditions@
...