论文标题
非线性欧姆法律的麦克斯韦方程良好
Well-posedness of the Maxwell equations with nonlinear Ohm law
论文作者
论文摘要
本文与麦克斯韦方程的l^2 x l^2中的弱解(E,h)有关,具有非线性欧姆定律,在完美的导体边界条件下。这些解决方案是根据具有适当测试功能的整体身份来定义的。我们论文的主要结果是能量平等,可用于任何弱解决方案(E,H)。
This paper is concerned with weak solutions (e,h) in L^2 x L^2 of the Maxwell equations with nonlinear Ohm law and under perfect conductor boundary conditions. These solutions are defined in terms of integral identities with appropriate test functions. The main result of our paper is an energy equality that holds for any weak solution (e,h).