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Regular hyperbolicity, dominant energy condition and causality for Lagrangian theory of maps
Regular hyperbolicity dominant energy condition causality for Lagrangian theory of maps
2010/12/21
The goal of the present paper is three-fold. First is to clarify the connection between the dominant energy condition and hyperbolicity properties of Lagrangian field theories.
On the hyperbolicity of Maxwell's equations with a local constitutive law
hyperbolicity of Maxwell's equations local constitutive law
2010/12/20
Maxwell’s equations are considered in metric-free form, with a local but otherwise arbitrary constitutive law. After splitting Maxwell’s equations into evolution equations and constraints, we derive t...