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ČeštinaEnglish

Existence and regularity of the Stokes system with the do-nothing and Navier’s boundary conditions

Result description

In this paper we study qualitative properties of weak solutions of the Stokes equations with the mixed boundary conditions in bounded domains. We prescribe "do–nothing" boundary conditions and Navier’s boundary conditions in two different parts of the boundary. Our aim is to study regularity of solutions in the neighbourhood of points in which boundary conditions change their type.

Keywords

Stokes equationsNavier-Stokes equationsmixed boundary conditionsdo-nothing boundary conditionsNavier's boundary conditions

The result's identifiers

Alternative languages

  • Result language

    angličtina

  • Original language name

    Existence and regularity of the Stokes system with the do-nothing and Navier’s boundary conditions

  • Original language description

    In this paper we study qualitative properties of weak solutions of the Stokes equations with the mixed boundary conditions in bounded domains. We prescribe "do–nothing" boundary conditions and Navier’s boundary conditions in two different parts of the boundary. Our aim is to study regularity of solutions in the neighbourhood of points in which boundary conditions change their type.

  • Czech name

    —

  • Czech description

    —

Classification

  • Type

    D - Article in proceedings

  • CEP classification

    —

  • OECD FORD branch

    10102 - Applied mathematics

Result continuities

Others

  • Publication year

    2020

  • Confidentiality

    S - Úplné a pravdivé údaje o projektu nepodléhají ochraně podle zvláštních právních předpisů

Data specific for result type

  • Article name in the collection

    19th Conference on Applied Mathematics Aplimat 2020 proceedings

  • ISBN

    978-80-227-4983-1

  • ISSN

    —

  • e-ISSN

    —

  • Number of pages

    10

  • Pages from-to

    47-56

  • Publisher name

    Slovak University of Technology

  • Place of publication

    Bratislava

  • Event location

    Bratislava

  • Event date

    Feb 4, 2020

  • Type of event by nationality

    WRD - Celosvětová akce

  • UT code for WoS article

    —

Basic information

Result type

D - Article in proceedings

D

OECD FORD

Applied mathematics

Year of implementation

2020

Similar results(10)

A nonlinear boundary condition for the radial blade machineThe inlet and outlet boundary problem with the preference of mass flowOn the asymptotic limit of the Navier-Stokes system on domains with rough boundaries