LECTURE NOTES ON APPLIED MATHEMATICS
Jun 17, 2009 · The conductivity tensor Ain (1.3) is usually symmetric and positive-de nite, in which case (1.4) is a parabolic PDE; the corresponding PDE for equilibrium density distributions u(~x) is then an elliptic equation r(Aru) = 0: In general, the conductivity tensor may depend upon ~xin a nonuniform system, and on uin non-linearly di usive systems.
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