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On the dynamic slip boundary condition for Navier--Stokes-like problems
Type of publication: Article
Citation:
Publication status: Published
Journal: Math. Models Methods Appl. Sci.
Volume: 31
Number: 11
Year: 2021
Pages: 2165--2212
DOI: 10.1142/S0218202521500470
Abstract: The choice of the boundary conditions in mechanical problems has to reflect the interaction of the considered material with the surface, despite the assumption of the no-slip condition is preferred to avoid boundary terms in the analysis and slipping effects are usually overlooked. Besides the ``static slip models", there are phenomena not accurately described by them, e.g. in the moment when the slip changes rapidly, the wall shear stress and the slip can exhibit a sudden overshoot and subsequent relaxation. When these effects become significant, the so-called dynamic slip phenomenon occurs. We develop a mathematical analysis of Navier-Stokes-like problems with dynamic slip boundary condition, which requires a proper generalisation of the Gelfand triplet and the corresponding function spaces setting.
Preprint project: NCMM
Preprint year: 2020
Preprint number: 10
Preprint ID: NCMM/2020/10
Keywords: dynamic slip, existence, Implicit constitutive theory, large data, weak solution
Authors Abbatiello, Anna
Bulíček, Miroslav
Maringová, Erika
Added by: [MB]
Total mark: 0
Attachments
  • ABMdynslip_1809.pdf
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