An analysis of the Darwin model of approximation to Maxwell’s equations in 3-D unbounded domains
Caixiu Liao, Lung-an Ying · Communications in Mathematical Sciences · 2008
In this paper, we derive the Darwin model in 3-D unbounded domains by the decomposition of the vector fields; then we show that the Darwin model approximates Maxwell's equations up to the second order for the magnetic flux density, and to the third order for the electric field with respect to η = v c , where v is the characteristic velocity and c is the speed of light.