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- W4223655304 abstract "The longtime behavior of a kind of fully magnetic effected nonlinear multi-dimensional piezoelectric beam with viscoelastic infinite memory is considered. The well-posedness of this nonlinear coupled PDEs’ system is showed by means of the semigroup theories and Banach fixed-point theorem. Based on frequency-domain analysis, it is proved that the corresponding coupled linear system can be indirectly stabilized exponentially by only one viscoelastic infinite memory term, which is located on one equation of these strongly coupled PDEs. Then, the exponential decay of the solution to the nonlinear coupled PDEs’ system is established by the energy estimation method under certain conditions." @default.
- W4223655304 created "2022-04-15" @default.
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- W4223655304 date "2022-07-05" @default.
- W4223655304 modified "2023-10-05" @default.
- W4223655304 title "Stability of multi-dimensional nonlinear piezoelectric beam with viscoelastic infinite memory" @default.
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- W4223655304 doi "https://doi.org/10.1007/s00033-022-01790-0" @default.
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