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Asymptotic Stability for an Axis-Symmetric Ohmic Heating Model in Thermal Electricity
Joint Authors
Li, Shan
Fan, Mingshu
Xia, Anyin
Source
Journal of Applied Mathematics
Issue
Vol. 2013, Issue 2013 (31 Dec. 2013), pp.1-5, 5 p.
Publisher
Hindawi Publishing Corporation
Publication Date
2013-08-12
Country of Publication
Egypt
No. of Pages
5
Main Subjects
Abstract EN
The asymptotic behavior of the solution for the Dirichlet problem of the parabolic equation with nonlocal term ut=urr+ur/r+f(u)/(a+2πb∫01f(u)rdr)2, for 0
The model prescribes the dimensionless temperature when the electric current flows through two conductors, subject to a fixed potential difference.
One of the electrical resistivity of the axis-symmetric conductor depends on the temperature and the other one remains constant.
The main results show that the temperature remains uniformly bounded for the generally decreasing function f(s), and the global solution of the problem converges asymptotically to the unique equilibrium.
American Psychological Association (APA)
Xia, Anyin& Fan, Mingshu& Li, Shan. 2013. Asymptotic Stability for an Axis-Symmetric Ohmic Heating Model in Thermal Electricity. Journal of Applied Mathematics،Vol. 2013, no. 2013, pp.1-5.
https://search.emarefa.net/detail/BIM-468154
Modern Language Association (MLA)
Xia, Anyin…[et al.]. Asymptotic Stability for an Axis-Symmetric Ohmic Heating Model in Thermal Electricity. Journal of Applied Mathematics No. 2013 (2013), pp.1-5.
https://search.emarefa.net/detail/BIM-468154
American Medical Association (AMA)
Xia, Anyin& Fan, Mingshu& Li, Shan. Asymptotic Stability for an Axis-Symmetric Ohmic Heating Model in Thermal Electricity. Journal of Applied Mathematics. 2013. Vol. 2013, no. 2013, pp.1-5.
https://search.emarefa.net/detail/BIM-468154
Data Type
Journal Articles
Language
English
Notes
Includes bibliographical references
Record ID
BIM-468154