Wellposedness of a nonlinear parabolic-dispersive coupled system modelling MEMS

DOI10.1016/j.jde.2023.11.028arXiv2312.00807MaRDI QIDQ6137775

Andrew A. Lacey, Heiko Gimperlein, Runan He

Publication date: 16 January 2024

Published in: Journal of Differential Equations (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2312.00807

zbMATH Keywords

quasilinear parabolic equationlocal well-posednessMEMSparabolic-dispersive coupled system

Mathematics Subject Classification ID

Initial-boundary value problems for second-order parabolic equations (35K20) Fluid-solid interactions (including aero- and hydro-elasticity, porosity, etc.) (74F10) Initial-boundary value problems for higher-order hyperbolic equations (35L35) PDEs in connection with mechanics of deformable solids (35Q74) Initial-boundary value problems for systems of nonlinear higher-order PDEs (35G61) Quasilinear parabolic equations (35K59)

Cites Work

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