在润滑系统中缺乏接触
Lack of contact in a lubricated system
摘要：
我们考虑一个刚性曲面在平面上运动的问题。这些表面由润滑剂流体填充的小间隙分开。除了初始时间$t=0$之外，曲面的相对位置是未知的。施加在上表面上的总载荷是$t>0$的已知常数。该数学模型由不可压缩流体的Reynolds变分不等式和牛顿$^{\prime}$第二定律组成的耦合系统组成。本文研究了当曲面的位置仅为一个自由度时，在几何条件的附加假设下，发展问题解的整体存在唯一性.还研究了稳定态的存在性。
英文摘要：
We consider the problem of a rigid surface moving over a flat plane. The surfaces are separated by a small gap filled by a lubricant fluid. The relative position of the surfaces is unknown except for the initial time $t=0$. The total load applied over the upper surface is a know constant for $t>0$. The mathematical model consists in a coupled system formed by Reynolds variational inequality for incompressible fluids and Newton$^{\prime}$s second Law. In this paper we study the global existence and uniqueness of solutions of the evolution problem when the position of the surface presents only one degree of freedom, under extra assumptions on its geometry. The existence of steady states is also studied.
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