On a quasilinear parabolic-hyperbolic system arising in MEMS modeling

DOI10.1007/s10231-024-01465-9MaRDI QIDQ6624154

Christoph Walker

Publication date: 25 October 2024

Published in: Annali di Matematica Pura ed Applicata. Serie Quarta (Search for Journal in Brave)

zbMATH Keywords

semigroupquasilinear parabolic equationlocal well-posednesssemilinear hyperbolic equation

Mathematics Subject Classification ID

PDEs of mixed type (35M10) Second-order semilinear hyperbolic equations (35L71) Quasilinear parabolic equations (35K59)

Cites Work

• Semigroups of linear operators and applications to partial differential equations
• Some singular equations modeling MEMS
• Wellposedness of a nonlinear parabolic-dispersive coupled system modelling MEMS
• Existence and uniqueness for a coupled parabolic-hyperbolic model of MEMS
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