Energy momentum, wave velocities and characteristic shocks in Euler’s variational equations with application to the Born–Infeld theory

DOI10.1063/1.1780611zbMath1071.83019OpenAlexW2013384100MaRDI QIDQ4833494

Guy Boillat, Tommaso Ruggeri

Publication date: 15 December 2004

Published in: Journal of Mathematical Physics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1063/1.1780611

Mathematics Subject Classification ID

Asymptotic procedures (radiation, news functions, (mathcal{H} )-spaces, etc.) in general relativity and gravitational theory (83C30)

Related Items (7)

Shock wave polarizations and optical metrics in the Born and the Born-Infeld electrodynamics ⋮ On the absence of shock waves and vacuum birefringence in Born–Infeld electrodynamics ⋮ TWO LIMIT CASES OF BORN–INFELD EQUATIONS ⋮ Interaction of a characteristic shock with a weak discontinuity in a non-ideal gas ⋮ Group theoretic method for analyzing interaction of a discontinuity wave with a strong shock in an ideal gas ⋮ Shock wave solution for the planar, cylindrically, and spherically symmetric flows of non-ideal relaxing gas ⋮ Well-posedness and long-time behavior of Lipschitz solutions to generalized extremal surface equations

Cites Work

• Hyperbolic principal subsystems: Entropy convexity and subcharacteristic conditions
• Born-Infeld particles and Dirichlet \(p\)-branes
• On the entropy inequality
• The conservation of matter in general relativity
• The Einstein evolution equations as a first-order quasi-linear symmetric hyperbolic system. I
• Hyperbolic systems of conservation laws II
• On the Born-Infeld electron: Spin effects
• Foundations of the new field theory
• Systems of Conservation Equations with a Convex Extension

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