The choice of the boundary conditions in mechanical problems has to reflect the interaction of the considered material with the surface. Still the assumption of the no-slip condition is preferred in order to avoid boundary terms in the analysis and slipping effects are usually overlooked. Besides the “static slip models”, there are phenomena that are not accurately described by them, e.g. at 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 a dynamic slip boundary condition, which requires a proper generalization of the Gelfand triplet and the corresponding function space setting.

中文翻译：

---

Navier-Stokes 类问题的动态滑移边界条件

机械问题中边界条件的选择必须反映所考虑材料与表面的相互作用。仍然首选无滑移条件的假设，以避免分析中的边界项，并且滑移效应通常被忽略。除了“静态滑移模型”之外，还有一些不能被它们准确描述的现象，例如在滑移快速变化的时刻，壁面剪应力和滑移会出现突然的超调和随后的松弛。当这些影响变得显着时，就会发生所谓的动态滑移现象。我们开发了具有动态滑移边界条件的 Navier-Stokes 类问题的数学分析，这需要对 Gelfand 三元组和相应的函数空间设置进行适当的推广。