Derivation of particle, string, and membrane motions from the Born–Infeld electromagnetism

DOI10.1063/1.1925248zbMath1110.78004OpenAlexW1978741478MaRDI QIDQ3438461

Wen-An Yong, Yann Brenier

Publication date: 16 May 2007

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

Full work available at URL: https://doi.org/10.1063/1.1925248

Mathematics Subject Classification ID

String and superstring theories; other extended objects (e.g., branes) in quantum field theory (81T30) Electromagnetic interaction; quantum electrodynamics (81V10) Motion of charged particles (78A35)

Related Items (15)

Stochastic evolution of augmented Born-Infeld equations ⋮ RELAXATION OF FLUID SYSTEMS ⋮ Low Mach number limit for the full compressible magnetohydrodynamic equations without thermal conductivity ⋮ Low Mach number limit of a compressible micropolar fluid model ⋮ Diffusive relaxation limits of compressible Euler-Maxwell equations ⋮ Convergence of the three-dimensional compressible Navier-Stokes-Poisson-Korteweg equation to the incompressible Euler equation ⋮ Convergence of the compressible magnetohydrodynamic equations to incompressible magnetohydrodynamic equations ⋮ TWO LIMIT CASES OF BORN–INFELD EQUATIONS ⋮ An interesting class of partial differential equations ⋮ Relaxed Euler systems and convergence to Navier-Stokes equations ⋮ A note on incompressible limit for compressible Euler equations ⋮ Newtonian limit of Maxwell fluid flows ⋮ Rigorous derivation of a Boltzmann relation from isothermal Euler-Poisson systems ⋮ Strong relaxation limit of multi-dimensional isentropic Euler equations ⋮ Low Mach number limit of the full compressible Navier-Stokes-Maxwell system

Cites Work

• The Cauchy problem for quasi-linear symmetric hyperbolic systems
• Singular perturbations of first-order hyperbolic systems with stiff source terms
• Hydrodynamic structure of the augmented Born-Infeld equations
• Hyperbolicity of the nonlinear models of Maxwell's equations
• Electromagnetic field theory without divergence problems. I: The Born legacy
• Singular limits of quasilinear hyperbolic systems with large parameters and the incompressible limit of compressible fluids
• Compressible and incompressible fluids
• Global smooth solutions to Euler equations for a perfect gas
• A remark on global existence for small initial data of the minimal surface equation in Minkowskian space time
• Foundations of the new field theory
• Global existence for small initial data in the Born–Infeld equations

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