Počet záznamů: 1

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

  1. 1.
    0482340 - UGN-S 2018 RIV eng J - Článek v odborném periodiku
    Haslinger, Jaroslav - Kučera, R. - Šátek, V.
    Stokes system with solution-dependent threshold slip boundary conditions: Analysis, approximation and implementation.
    Mathematics and Mechanics of Solids. Roč. 22, October 2017 (2017), s. 1-14 ISSN 1081-2865
    Grant CEP: GA MŠk LQ1602; GA ČR(CZ) GA17-01747S
    Institucionální podpora: RVO:68145535
    Klíčová slova: Stokes system * threshold slip boundary conditions * solution dependent slip function
    Kód oboru RIV: BA - Obecná matematika
    Impakt faktor: 2.953, rok: 2016
    http://journals.sagepub.com/doi/abs/10.1177/1081286517716222

    The paper analyzes the Stokes system with threshold slip boundary conditions of Navier type. Based on the fixed-point 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.
    Trvalý link: http://hdl.handle.net/11104/0277753
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