Yes, I've looked there. In Chapter 3: Special Techniques, Griffith's states and proves uniqueness theorems both for specified voltage and specified surface charge (although in the latter case only for electric field as potential only unique up to constants). The mixed case is stated to be true...
Suppose we have a collection of conductors for which the voltage is specified on some conductors and the surface charge is specified on others. Is there a coherent way to specify this as a boundary value problem for the voltage (satisfying Laplace's, or in the presence of charge density...
Ah, those links are excellent. Following some references in the links you provided I've found this paper which seems to say (top of section III) that in the inviscid case some fluid equations precisely coincide with the Maxwell equations. I will need to read this carefully.
Many thanks. Do you know of any reasonable interpretation of E = B \times A in electromagnetism, which seems to arise from the definitions in the analogy?
I've recently heard of an analogy between fluid dynamics and electromagnetism in which the velocity flow field is identified with the magnetic vector potential, (and therefore the vorticity is identified with the magnetic field), and the vector \omega \times v is identified with the electric...