Decomposition of an arbitrary discontinuity for an elastic string

DOI10.1016/S0041-5553(89)80017-5zbMath0737.73054OpenAlexW1969147721MaRDI QIDQ4710868

D. V. Potskhishvili

Publication date: 25 June 1992

Published in: USSR Computational Mathematics and Mathematical Physics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/s0041-5553(89)80017-5

zbMATH Keywords

Cauchy problemcompressionHooke's lawsystems of conservation lawsill- poseddynamics of elastic string in three-dimensionsexistence of selfsimilar solutiontheory of quasilinear hyperbolic systems of first order

Mathematics Subject Classification ID

Shocks and singularities for hyperbolic equations (35L67) Vibrations in dynamical problems in solid mechanics (74H45) Ill-posed problems for PDEs (35R25) Initial value problems for first-order hyperbolic systems (35L45) Uniqueness of solutions of dynamical problems in solid mechanics (74H25) Uniqueness of solutions of equilibrium problems in solid mechanics (74G30) Strings (74K05)

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