摘要
We consider the stabilization of Naghdis model by boundary feedbacks wherethe model has a middle surface of any shape. First, applying the semigroup approach and theregularity of elliptic boundary value problems, we obtain the existence, the uniqueness, and theproperties of solutions to Naghdis model. Finally, we establish the exponential decay rates forNaghdis model under some checkable geometric conditions on the middle surface.
We consider the stabilization of Naghdis model by boundary feedbacks wherethe model has a middle surface of any shape. First, applying the semigroup approach and theregularity of elliptic boundary value problems, we obtain the existence, the uniqueness, and theproperties of solutions to Naghdis model. Finally, we establish the exponential decay rates forNaghdis model under some checkable geometric conditions on the middle surface.
基金
This work is supported by the Mathematical Tianyuan Foundation of China(A0324641)
Youth Science Foundation of Shanxi Province,China(20041001)
