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• W3186014368 abstract "We consider the regularity question of solutions for the dynamic initial-boundary value problem for the linear relaxed micromorphic model. This generalized continuum model couples a wave-type equation for the displacement with a generalized Maxwell-type wave equation for the microdistortion. Naturally, solutions are found in H1 for the displacement u and H(Curl) for the microdistortion P. Using energy estimates for difference quotients, we improve this regularity. We show H loc 1 –regularity for the displacement field, H loc 1 –regularity for the microdistortion tensor P and that Curl P is H1–regular if the data are sufficiently smooth." @default.
• W3186014368 created "2021-08-02" @default.
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• W3186014368 date "2021-07-26" @default.
• W3186014368 modified "2023-10-18" @default.
• W3186014368 title "A note on local higher regularity in the dynamic linear relaxed micromorphic model" @default.
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• W3186014368 doi "https://doi.org/10.1002/mma.7661" @default.
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