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The Existence and Uniqueness of the Weak Solution for the Evolutionary Electrochemical Machining Problem
Authors:Guangwei Yuan
Abstract:A time dependent electrochemical machining problem, in which the cathode is fed towards the anode with a constant velocity, is studied. We prove the existence and uniqueness of the weak solution for the problem under the assumption that the cathode is C^{1+β} for some β ∈ (0,1).
Keywords:Evolutionary elliptic free boundary problem                                                                                                electrochemical machining problem                                                                                                existence and uniqueness
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