论文标题
罗宾边界价值问题的分叉图在mem中产生
Bifurcation diagram of a Robin boundary value problem arising in MEMS
论文作者
论文摘要
我们考虑了罗宾边界条件的抛物线问题，这是当微机械系统（MEMS）设备的边缘与灵活的非理想支持连接时会产生的。然后，通过严格的分析，我们研究了相应稳态问题的解决方案集的结构。我们表明，当应用电压低于此临界值时，临界值（引进电压）的存在，因此系统完全具有两个固定溶液，这是应用此临界电压的一种固定解决方案，并且在临界电压上方没有固定溶液。
We consider a parabolic problem with Robin boundary condition which arises when the edge of a micro-electro-mechanical-system (MEMS) device is connected with a flexible nonideal support. Then via a rigorous analysis we investigate the structure of the solution set of the corresponding steady-state problem. We show that a critical value (the pull-in voltage) exists so that the system has exactly two stationary solutions when the applied voltage is lower than this critical value, one stationary solution for applying this critical voltage, and no stationary solution above the critical voltage.
