On a Quasilinear Parabolic-Hyperbolic System Arising in MEMS Modeling

Publikation: Arbeitspapier/Preprint › Preprint

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  • Christoph Walker

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OriginalspracheEnglisch
PublikationsstatusElektronisch veröffentlicht (E-Pub) - 3 Feb. 2024

Abstract

A coupled system consisting of a quasilinear parabolic equation and a semilinear hyperbolic equation is considered. The problem arises as a small aspect ratio limit in the modeling of a MEMS device taking into account the gap width of the device and the gas pressure. The system is regarded as a special case of a more general setting for which local well-posedness of strong solutions is shown. The general result applies to different cases including a coupling of the parabolic equation to a semilinear wave equation of either second or fourth order, the latter featuring either clamped or pinned boundary conditions.

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On a Quasilinear Parabolic-Hyperbolic System Arising in MEMS Modeling. / Walker, Christoph.
2024.

Publikation: Arbeitspapier/Preprint › Preprint

Walker C. On a Quasilinear Parabolic-Hyperbolic System Arising in MEMS Modeling. 2024 Feb 3. Epub 2024 Feb 3. doi: 10.48550/arXiv.2402.02281
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