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Volume 8, Issue 4
The Existence and Uniqueness of the Weak Solution for the Evolutionary Electrochemical Machining Problem

Guangwei Yuan

J. Part. Diff. Eq., 8 (1995), pp. 297-309.

Published online: 1995-08

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  • 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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@Article{JPDE-8-297, author = {Guangwei Yuan }, title = {The Existence and Uniqueness of the Weak Solution for the Evolutionary Electrochemical Machining Problem}, journal = {Journal of Partial Differential Equations}, year = {1995}, volume = {8}, number = {4}, pages = {297--309}, 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).}, issn = {2079-732X}, doi = {https://doi.org/}, url = {http://global-sci.org/intro/article_detail/jpde/5662.html} }
TY - JOUR T1 - The Existence and Uniqueness of the Weak Solution for the Evolutionary Electrochemical Machining Problem AU - Guangwei Yuan JO - Journal of Partial Differential Equations VL - 4 SP - 297 EP - 309 PY - 1995 DA - 1995/08 SN - 8 DO - http://doi.org/ UR - https://global-sci.org/intro/article_detail/jpde/5662.html KW - Evolutionary elliptic free boundary problem KW - electrochemical machining problem KW - existence and uniqueness AB - 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).
Guangwei Yuan . (1995). The Existence and Uniqueness of the Weak Solution for the Evolutionary Electrochemical Machining Problem. Journal of Partial Differential Equations. 8 (4). 297-309. doi:
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