Asymptotic Stability for an Axis-Symmetric Ohmic Heating Model in Thermal Electricity
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<r<1, t>0,u1,t=u′(0,t)=0, for t>0, ur,0=u0r, for 0≤r≤1. The model prescribes the dimensionless temperature when the electric cur...
| Main Authors: | , , |
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| Format: | Article |
| Language: | English |
| Published: |
Hindawi Limited
2013-01-01
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| Series: | Journal of Applied Mathematics |
| Online Access: | http://dx.doi.org/10.1155/2013/387565 |