Shock wave propagation and admissibility criteria in a nonlinear dielectric medium

DOI10.1007/BF01176289zbMath0829.73060OpenAlexW2042303666MaRDI QIDQ1898033

Leonardo Seccia

Publication date: 17 January 1996

Published in: Continuum Mechanics and Thermodynamics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/bf01176289

zbMATH Keywords

isotropic mediumLax conditionsentropy growth conditionreflection and transmission criterion

Mathematics Subject Classification ID

Shocks and singularities for hyperbolic equations (35L67) Electromagnetic effects in solid mechanics (74F15) Impact in solid mechanics (74M20) Waves and radiation in optics and electromagnetic theory (78A40)

Cites Work

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• Rotational degeneracy of hyperbolic systems of conservation laws
• Nonexistence of smooth electromagnetic fields in nonlinear dielectrics: Shock development in a half-space
• Solution of the Riemann problem for a prototype 2\(\times 2\) system of non-strictly hyperbolic conservation laws
• Evolution law of a weak discontinuity crossing a non characteristic shock in a non-linear dielectric medium
• Quasilinear hyperbolic systems with involutions
• Formation and decay of electromagnetic shock waves
• Reflection and transmission of discontinuity waves through a shock wave. General theory including also the case of characteristic shocks
• Hyperbolic systems of conservation laws II
• The classification of 2 × 2 systems of non-strictly hyperbolic conservation laws, with application to oil recovery

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