论文标题
静止状态到静电驱动板的自由边界传输问题
Stationary states to a free boundary transmission problem for an electrostatically actuated plate
论文作者
论文摘要
考虑了在静电驱动的板的建模中产生的二维游离边界传递问题，并导致相关静电能的衍生物的表示公式相对于板的偏转。后者为构建能量最小化器铺平了道路，还提供了这些最小化器满足的Euler-Lagrange方程。副产品是相对于挠度的静电能的单调性。
A two-dimensional free boundary transmission problem arising in the modeling of an electrostatically actuated plate is considered and a representation formula for the derivative of the associated electrostatic energy with respect to the deflection of the plate is derived. The latter paves the way for the construction of energy minimizers and also provides the Euler-Lagrange equation satisfied by these minimizers. A by-product is the monotonicity of the electrostatic energy with respect to the deflection.
