Behaviour of a non-local equation modelling linear friction welding

被引：9
|
作者：
Kavallaris, N. I.
Lacey, A. A.
Nikolopoulos, C. V.
Voong, C.
机构：
[1] Natl Tech Univ Athens, Sch Appl Math & Phys Sci, Dept Math, Athens 15780, Greece
[2] Heriot Watt Univ, Sch Math & Comp Sci, Edinburgh EH14 4AS, Midlothian, Scotland
[3] Heriot Watt Univ, Maxwell Inst Math Sci, Edinburgh EH14 4AS, Midlothian, Scotland
[4] Univ Aegean, Dept Math, Samos 83200, Greece
来源：
IMA JOURNAL OF APPLIED MATHEMATICS | 2007年 / 72卷 / 05期
关键词：
non-local parabolic problems;
D O I：
10.1093/imamat/hxm031
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
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)/(integral(0)infinity f(u)dy)(1+a). For f(u) = e(u), 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).
引用
收藏
页码：597 / 616
页数：20
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