On a Navier-Stokes-Fourier-like system capturing transitions between viscous and inviscid fluid regimes and between no-slip and perfect-slip boundary conditions
| Type of publication: | Article |
| Citation: | |
| Publication status: | Published |
| Journal: | Nonlinear Analysis: Real World Applications |
| Volume: | 41 |
| Year: | 2018 |
| Month: | June |
| Pages: | 152--178 |
| DOI: | 10.1016/j.nonrwa.2017.10.008 |
| Abstract: | We study a generalization of the Navier-Stokes-Fourier system for an incompressible uid where the deviatoric part of the Cauchy stress tensor is related to the symmetric part of the velocity gradient via a maximal monotone 2-graph that is continuously parametrized by the temperature. As such, the considered uid may go through transitions between three of the following regimes: it can ow as a Bingham uid for a speci c value of the temperature, while it can behave as the Navier-Stokes uid for another value of the temperature or, for yet another temperature, it can respond as the Euler uid until a certain activation initiates the response of the Navier-Stokes uid. At the same time, we regard a generalized threshold slip on the boundary that also may go through various regimes continuously with the temperature. All material coecients like the dynamic viscosity, friction or activation coecients are assumed to be temperature-dependent. We establish the large-data and long-time existence of weak solutions, applying the L1-truncation technique to approximate the velocity fi eld. |
| Preprint project: | MORE |
| Preprint year: | 2017 |
| Preprint number: | 06 |
| Preprint ID: | MORE/2017/06 |
| Keywords: | |
| Authors | |
| Added by: | [MB] |
| Total mark: | 0 |
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