Abstract
A non-local parabolic equation modelling linear friction welding is studied. The equation applies on the half line and contains a non-linearity of the form f(u)/(?08 f(u)dy)1+a. For f(u) = eu, global existence and convergence to a steady state are proved. Numerical calculations are also carried out for this case and for f(u) = (-u)1/a. © The Author 2007. Published by Oxford University Press on behalf of the Institute of Mathematics and its Applications. All rights reserved.
Original language | English |
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Pages (from-to) | 597-616 |
Number of pages | 20 |
Journal | IMA Journal of Applied Mathematics |
Volume | 72 |
Issue number | 5 |
DOIs | |
Publication status | Published - Oct 2007 |
Keywords
- Non-local parabolic problems