The decay and formation of one-dimensional nonconservative shocks

DOI10.1016/0307-904X(88)90035-2zbMath0644.73033OpenAlexW2093467004MaRDI QIDQ1102780

Marcelo Epstein, Marek Elżanowski

Publication date: 1988

Published in: Applied Mathematical Modelling (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/0307-904x(88)90035-2

zbMATH Keywords

shock formationdissipationone-dimensional elasticitynonlinear partial differential equationsexistence of global solutionsnonconservative hyperbolic systemsnonlinear Maxwellian continuumone-dimensional acceleration wavesingle-balance law

Mathematics Subject Classification ID

Shocks and singularities for hyperbolic equations (35L67) Nonlinear elasticity (74B20) Impact in solid mechanics (74M20) Waves in solid mechanics (74J99)

Cites Work

• Energy methods for quasilinear hyperbolic initial-boundary value problems. Applications to elastodynamics
• Development of singularities in the motion of materials with fading memory
• Gradient catastrophe in the solution of nonconservative hyperbolic systems
• Instability of steady shearing flows in a non-linear viscoelastic fluid
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