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- W2000213135 abstract "We discuss the model equations of ferroelectric media, represented by a bounded and regular domain introduced by Greenberg in the case of time harmonic dependency of the solutions. The system reduces to a couple of nonlinear Maxwell's equations satisfied by the electromagnetic field ( H, E ) and the electric polarization vector P. By classical methods we prove the existence and uniqueness of the solutions for frequencies which are far from 0. We obtain the -regularity of the solutions when the polarization satisfies the boundary condition P× n = 0. We also consider the particular 2-D case deduced from the full model by using the transverse electric (TE) and transverse magnetic (TM) approximations. For the coupled nonlinear Hemholtz system we establish a general existence theory of the solutions for all frequencies and characterize their low frequency behaviour." @default.
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- W2000213135 date "2005-07-01" @default.
- W2000213135 modified "2023-09-25" @default.
- W2000213135 title "Time harmonic solutions to a model of ferroelectric materials" @default.
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- W2000213135 doi "https://doi.org/10.1080/00036810500048152" @default.
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