【摘 要】
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In this paper we study a nonlinear Maxwell’s system in a highly conductive medium in which the displacement current is neglected. The magnetic field H satisfie
【机 构】
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Department of Mathematics Washington State University Pullman, WA 99164 USA;Department of Mathematic
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In this paper we study a nonlinear Maxwell’s system in a highly conductive medium in which the displacement current is neglected. The magnetic field H satisfies a quasilinear evolution system: Ht + ▽ × [r(x, t, |H|, |▽ × H|)▽ × H] = F(x, t, H),where the resistivity r is assumed to depend upon the strengths of electric and magnetic fields while the intal magnetic current F depends upon the magnetic field. It is shown that under appropriate structure conditions for r and F the above nonlinear system subject to appropriate initial-boundary conditions has a unique global solution.
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