Motion of a vibrating string in the presence of a convex obstacle: A free boundary problem

DOI10.1002/MMA.1670090122zbMath0637.35056OpenAlexW1997213248MaRDI QIDQ3778368

Henri Cabannes

Publication date: 1987

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

Full work available at URL: https://doi.org/10.1002/mma.1670090122

zbMATH Keywords

explicit solutionsfree boundaryvibrating stringconvex obstaclepartly convexpartly concave

Mathematics Subject Classification ID

Wave equation (35L05) Free boundary problems for PDEs (35R35) Unilateral problems for linear hyperbolic equations and variational inequalities with linear hyperbolic operators (35L85)

Cites Work

• A hyperbolic problem of second order with unilateral constraints: The vibrating string with a concave obstacle
• Periodic motions of a string vibrating against a fixed point‐mass obstacle: II
• Almost periodic motion of a string vibrating against a straight fixed obstacle
• The Sitar String, a Vibrating String with a One-Sided Inelastic Constraint
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