On the existence, regularity and large time behavior of a two-dimensional parabolic-elliptic eddy current problem
Author:
A. Aldroubi
Journal:
Quart. Appl. Math. 48 (1990), 371-385
MSC:
Primary 35M10; Secondary 35Q35
DOI:
https://doi.org/10.1090/qam/1052142
MathSciNet review:
MR1052142
Full-text PDF Free Access
Abstract |
References |
Similar Articles |
Additional Information
Abstract: We consider a two-dimensional time-dependent eddy current model formulated as a parabolic-elliptic interface problem. Existence of solutions is established using Laplace transform techniques, potential theory and integral equations methods. Regularity results are shown, from which the existence of classical solutions follow. A large time behavior for the solution is established.
- S. I. Hariharan and R. C. MacCamy, Integral equation procedures for eddy current problems, J. Comput. Phys. 45 (1982), no. 1, 80–99. MR 650426, DOI https://doi.org/10.1016/0021-9991%2882%2990103-6
- S. I. Hariharan and R. C. MacCamy, Low frequency acoustic and electromagnetic scattering, Appl. Numer. Math. 2 (1986), no. 1, 29–35. MR 834032, DOI https://doi.org/10.1016/0168-9274%2886%2990012-7
A. Aldroubi, A two-dimensional eddy current problem, Thesis, Dept. of Mathematics, Carnegie-Mellon, 1987
- R. C. MacCamy and Manil Suri, A time-dependent interface problem for two-dimensional eddy currents, Quart. Appl. Math. 44 (1987), no. 4, 675–690. MR 872820, DOI https://doi.org/10.1090/S0033-569X-1987-0872820-7
S. I. Hariharan and R. C. MacCamy, Integral equation procedures for eddy current problems, J. Comp. Phys. 45, 80–89 (1982)
S. I. Hariharan and R. C. MacCamy, Low frequency acoustic and electromagnetic scattering, Appl. Numer. Math. 2, 29–35 (1986)
A. Aldroubi, A two-dimensional eddy current problem, Thesis, Dept. of Mathematics, Carnegie-Mellon, 1987
R. C. MacCamy and M. Suri, A time dependent interface problem for two dimensional eddy currents, Quart. Appl. Math. 46, 675–690 (1987)
Similar Articles
Retrieve articles in Quarterly of Applied Mathematics
with MSC:
35M10,
35Q35
Retrieve articles in all journals
with MSC:
35M10,
35Q35
Additional Information
Article copyright:
© Copyright 1990
American Mathematical Society