New Results on the Vibrating String with a Continuous Obstacle

DOI10.1137/0514046zbMath0535.35051OpenAlexW1975990153MaRDI QIDQ3319129

Michelle Schatzman, Alain Bamberger

Publication date: 1983

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

Full work available at URL: https://doi.org/10.1137/0514046

zbMATH Keywords

strong convergencepenalty methodvibrating stringcontinuous obstacle

Mathematics Subject Classification ID

Partial differential inequalities and systems of partial differential inequalities (35R45) Wave equation (35L05) Dependence of solutions to PDEs on initial and/or boundary data and/or on parameters of PDEs (35B30)

Related Items (11)

Vibrations of a beam between stops: collision events and energy balance properties ⋮ On the obstacle problem for the 1D wave equation ⋮ A vibrating string with dynamic frictionless impact ⋮ Energy balance for viscoelastic bodies in frictionless contact ⋮ A boundary thin obstacle problem for a wave equation ⋮ Elasto-plastic contact problems with heat exchange and fatigue ⋮ Martingale solutions of a stochastic wave equation with reflection ⋮ Dynamic contact problem for a von Kármán–Donnell shell ⋮ Existence and uniqueness results for dynamic contact problems with nonlinear normal and friction interface laws ⋮ Dynamical aspects of the unilateral contact between a fluid and a structure ⋮ Almost periodic motion of a string vibrating against a straight fixed obstacle

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