Geodesic
The use of discontinuous functions for modeling the dissolution process of steady-state electrochemical shaping
Izvestiâ vysših učebnyh zavedenij. Matematika, no. 10 (2010), pp. 77-81

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Alternative electrochemical shaping problem statement is suggested. Jump-like current efficiency function is used, defining the rate of the anode border moving for modeling of anode dissolution process. The anode surface is divided into three parts: active dissolution, the absence of dissolution (for small current density) and transient part, in which the current density is equal to the critical value.
Keywords: electrochemical shaping, jump-like current efficiency function, hodograph method. 
@article{IVM_2010_10_a8,
     author = {V. P. Zhitnikov and E. M. Oshmarina and G. I. Fedorova},
     title = {The use of discontinuous functions for modeling the dissolution process of steady-state electrochemical shaping},
     journal = {Izvesti\^a vys\v{s}ih u\v{c}ebnyh zavedenij. Matematika},
     pages = {77--81},
     publisher = {mathdoc},
     number = {10},
     year = {2010},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/IVM_2010_10_a8/}
}
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V. P. Zhitnikov; E. M. Oshmarina; G. I. Fedorova. The use of discontinuous functions for modeling the dissolution process of steady-state electrochemical shaping. Izvestiâ vysših učebnyh zavedenij. Matematika, no. 10 (2010), pp. 77-81. http://geodesic.mathdoc.fr/item/IVM_2010_10_a8/