ON THE CLASSICAL SOLUTIONS OF THE MOTION OF AN ELASTIC STRING IN AN n-DIMENSIONAL SPACE

DOI10.1142/S021989160700132XzbMath1151.35054MaRDI QIDQ5386912

Renato Manfrin

Publication date: 14 May 2008

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

zbMATH Keywords

formation of singularitiesquasilinear hyperbolic systemselastic string

Mathematics Subject Classification ID

Shocks and singularities for hyperbolic equations (35L67) First-order nonlinear hyperbolic equations (35L60) Hyperbolic conservation laws (35L65) Analyticity in context of PDEs (35A20) Strings (74K05)

Related Items (1)

Global nonlinear stability of longitudinal wave for the planar motion of elastic string with linear Hooke's law

Cites Work

• On the breakdown of classical solutions of the planar motion of an elastic string
• The Riemann problem for the planar motion of an elastic string
• A system of non-strictly hyperbolic conservation laws arising in elasticity theory
• Development of singularities in the nonlinear waves for quasi-linear hyperbolic partial differential equations
• On the breakdown of solutions to \(N\times N\) quasilinear hyperbolic systems
• Elementary Wave Solutions of the Equations Describing the Motion of an Elastic String
• The Equations for Large Vibrations of Strings
• Formation of singularities for wave equations including the nonlinear vibrating string
• Formation of singularities in one-dimensional nonlinear wave propagation
• Some existence theorems for hyperbolic systems of partial differential equations in two independent variables

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