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The situation I am stuck with involves a system of 4 PDEs describing plasma in a cylinder. The dependent variables being used are Vr, Vt, Vz, ni, and the independent variables are Rr, Ttheta, Zz (cylindrical coords). None of the partial differentials involved in any of these equations are above first order.

What are the rules/guide lines for choosing the boundarys for such a system of PDEs? Do the same rules for choosing boundarys of a single PDE still hold for a system of PDEs?

Also if you know of any good sources that specifically teach about the choice of boundary conditions for a PDE I would really appreciate it.

Thanks!