A pr 1 99 8 On a Singular Limit Problem for Nonlinear Maxwell ’ s Equations

نویسنده

  • Hong-Ming Yin
چکیده

In this paper we study the following nonlinear Maxwell’s equations εEt+σ(x, |E|)E = ∇×H+F, Ht+∇×E = 0, where σ(x, s) is a monotone graph of s. It is shown that the system has a unique weak solution. Moreover, the limit of the solution as ε → 0 converges to the solution of quasi-stationary Maxwell’s equations. AMS(MOS) Subject Classifications: 35K20, 35Q20.

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تاریخ انتشار 1998