TWO LIMIT CASES OF BORN–INFELD EQUATIONS
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Publication:5386906
DOI10.1142/S0219891607001264zbMath1188.35152MaRDI QIDQ5386906
Publication date: 14 May 2008
Published in: Journal of Hyperbolic Differential Equations (Search for Journal in Brave)
Born-Infeld equationsclassical Maxwell equationshigh and low field limitspressureless magnetohydrodynamics system
Asymptotic behavior of solutions to PDEs (35B40) PDEs in connection with fluid mechanics (35Q35) First-order nonlinear hyperbolic equations (35L60) Magnetohydrodynamics and electrohydrodynamics (76W05)
Related Items (1)
Cites Work
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- Equivalence of the Euler and Lagrangian equations of gas dynamics for weak solutions
- Explicit solutions for \(2\times 2\) linearly degenerate systems
- Hydrodynamic structure of the augmented Born-Infeld equations
- Hyperbolicity of the nonlinear models of Maxwell's equations
- A note on deformations of 2D fluid motions using 3D Born-Infeld equations
- Derivation of particle, string, and membrane motions from the Born–Infeld electromagnetism
- Foundations of the new field theory
- Global existence for small initial data in the Born–Infeld equations
- Energy momentum, wave velocities and characteristic shocks in Euler’s variational equations with application to the Born–Infeld theory
- Euler–Lagrange change of variables in conservation laws
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