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 | |
| Added by: | [MB] |
| Total mark: | 0 |
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