Publikation: Regularity and Stabilization of Magneto-Elastic Systems
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2024
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Munoz Rivera, Jaime E.
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We consider the mathematical model for a plate in a bounded reference configuration $\Omega\subset \mathbb{R}^n$, first with $n=2$, which is interacting with $n=2$ magnetic fields. The latter have a damping effect. It will be shown that the arising system generates an analytic semigroup and that the estimated exponential decay rate tends to zero if the $n$ constant directing magnetic vectors tend to become linearly dependent. Then, an analogous model for $n=3$ will be considered. In the case that there are less than $n$ magnetic fields we prove the strong stability exemplarily for cubes.
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510 Mathematik
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MUNOZ RIVERA, Jaime E., Reinhard RACKE, 2024. Regularity and Stabilization of Magneto-Elastic SystemsBibTex
@techreport{MunozRivera2024Regul-71760, year={2024}, series={Konstanzer Schriften in Mathematik}, title={Regularity and Stabilization of Magneto-Elastic Systems}, number={413}, author={Munoz Rivera, Jaime E. and Racke, Reinhard} }
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