On a Hyperbolic Quenching Problem in Several Dimensions

DOI10.1137/0520072zbMath0687.35056OpenAlexW2026906076MaRDI QIDQ4205830

Richard A. Smith

Publication date: 1989

Published in: SIAM Journal on Mathematical Analysis (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1137/0520072

zbMATH Keywords

quenchingone-parameter groupsskew-adjoint operators

Mathematics Subject Classification ID

Sobolev spaces and other spaces of ``smooth functions, embedding theorems, trace theorems (46E35) Second-order nonlinear hyperbolic equations (35L70) General theory of partial differential operators (47F05) Initial value problems for second-order hyperbolic equations (35L15)

Related Items (11)

Convergence of solutions of a nonlocal biharmonic MEMS equation with the fringing field ⋮ Global solution of the initial boundary value problem to a hyperbolic nonlocal MEMS equation ⋮ Unnamed Item ⋮ Hyperbolic quenching problem with damping in the micro-electro mechanical system device ⋮ On the quenching behaviour of a semilinear wave equation modelling MEMS technology ⋮ Viscosity dominated limit of global solutions to a hyperbolic equation in MEMS ⋮ A hyperbolic non-local problem modelling MEMS technology ⋮ A numerical study of the pull-in instability in some free boundary models for MEMS ⋮ Quenching, nonquenching, and beyond quenching for solution of some parabolic equations ⋮ Free Vibrations in a Wave Equation Modeling MEMS ⋮ Nonlinear wave equations on the two-dimensional sphere

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