G. Cimatti et E. Feireisl, THE EQUATIONS OF ELECTROHYDRODYNAMICS WITH HIGHLY IRREGULAR INITIAL DATA, IMA journal of applied mathematics, 51(2), 1993, pp. 111-122
The existence of a weak solution to the equations of electrohydrodynam
ics is proved. The data are allowed to be highly irregular; specifical
ly, the initial charge density may be a measure (with integrable densi
ty) concentrated on the boundary. Historical comments are made concern
ing a relevant paper of B. Riemann.