Detail publikace

Stokes system with solution-dependent threshold slip boundary conditions: Analysis, approximation and implementation

HASLINGER, J. KUČERA, R. ŠÁTEK, V. SASSI, T.

Originální název

Stokes system with solution-dependent threshold slip boundary conditions: Analysis, approximation and implementation

Typ

článek v časopise ve Web of Science, Jimp

Jazyk

angličtina

Originální abstrakt

The paper analyzes the Stokes system with threshold slip boundary conditions of Navier type. Based on the fixedpoint formulation we prove the existence of a solution for a class of solution-dependent slip functions g satisfying an appropriate growth condition and its uniqueness provided that g is one-sided Lipschitz continuous. Further we study under which conditions the respective fixed-point mapping is contractive. To discretize the problem we use P1-bubble/P1 elements. Properties of discrete models in dependence on the discretization parameter are analysed and convergence results are established. In the second part of the paper we briefly describe the duality approach used in computations and present results of a model example.

Klíčová slova

Stokes system, threshold slip boundary conditions, solution dependent slip function

Autoři

HASLINGER, J.; KUČERA, R.; ŠÁTEK, V.; SASSI, T.

Vydáno

1. 3. 2018

ISSN

1081-2865

Periodikum

MATHEMATICS AND MECHANICS OF SOLIDS

Ročník

2018

Číslo

23

Stát

Spojené království Velké Británie a Severního Irska

Strany od

294

Strany do

307

Strany počet

14

URL

http://journals.sagepub.com/doi/full/10.1177/1081286517716222

BibTex

@article{BUT146571,
  author="Jaroslav {Haslinger} and Radek {Kučera} and Václav {Šátek} and Taoufik {Sassi}",
  title="Stokes system with solution-dependent threshold slip boundary conditions: Analysis, approximation and implementation",
  journal="MATHEMATICS AND MECHANICS OF SOLIDS",
  year="2018",
  volume="2018",
  number="23",
  pages="294--307",
  doi="10.1177/1081286517716222",
  issn="1081-2865",
  url="http://journals.sagepub.com/doi/full/10.1177/1081286517716222"
}