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- W2000245704 abstract "Existence, uniqueness and regularity are proved for the electropainting problem with over-potentials. The problem consists of finding a pair ${ varphi (x,t),h(x,t)} $ such that $varphi (x,t)$ is a time dependent family of harmonic functions, representing the electric potential in a domain, and $h(x,t)$ is related to the paint thickness on the part of the boundary being painted. The boundary condition on this part is $varphi _n = G(varphi ,h)$ where $varphi _n $ is the inward normal derivative. h is determined from the history of the process. The assumption on the overpotential $sigma (x)$ implies $h geqq sigma (x) > 0$ and thus the boundary condition is nondegenerate. We show that the process is monotone; there is no paint dissolution. Then we consider the explicit time discretization of the problem. Letting the time step shrink to zero leads to the above mentioned results. Then the $t to infty $ limit is considered, existence, uniqueness and regularity are proved. Moreover it is shown that th..." @default.
- W2000245704 created "2016-06-24" @default.
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- W2000245704 date "1987-05-01" @default.
- W2000245704 modified "2023-09-23" @default.
- W2000245704 title "The Electropainting Problem with Overpotentials" @default.
- W2000245704 doi "https://doi.org/10.1137/0518060" @default.
- W2000245704 hasPublicationYear "1987" @default.
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