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Existence and uniqueness for a coupled parabolic-hyperbolic model of MEMS

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Publication:6559990
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DOI10.1002/mma.9922zbMath1547.35462MaRDI QIDQ6559990

Heiko Gimperlein, Andrew A. Lacey, Runan He

Publication date: 21 June 2024

Published in: Mathematical Methods in the Applied Sciences (Search for Journal in Brave)



zbMATH Keywords

semigroup theoryMEMSlocal wellposednessparabolic-hyperbolic coupled systemmembrane thin-film-flow interactions


Mathematics Subject Classification ID

Fluid-solid interactions (including aero- and hydro-elasticity, porosity, etc.) (74F10) Weak solutions to PDEs (35D30) Initial-boundary value problems for mixed-type systems of PDEs (35M33) Initial-boundary value problems for systems of nonlinear higher-order PDEs (35G61)








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