Osaka Journal of Mathematics

A nonlocal parabolic problem arising in linear friction welding

Yung-Jen Lin Guo

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We study a nonlocal parabolic problem modeling the temperature in a thin region during linear friction welding for a hard material. We derive the structures of steady states of this nonlocal problem and its associated approximated problems. Moreover, some remarks on the parabolic problem are given.

Article information

Osaka J. Math., Volume 47, Number 1 (2010), 33-40.

First available in Project Euclid: 19 February 2010

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Mathematical Reviews number (MathSciNet)

Zentralblatt MATH identifier

Primary: 34K05: General theory 34A34: Nonlinear equations and systems, general
Secondary: 34K60: Qualitative investigation and simulation of models 34E05: Asymptotic expansions


Guo, Yung-Jen Lin. A nonlocal parabolic problem arising in linear friction welding. Osaka J. Math. 47 (2010), no. 1, 33--40.

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