Osaka Journal of Mathematics

A nonlocal parabolic problem arising in linear friction welding

Yung-Jen Lin Guo

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Abstract

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

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

Dates
First available in Project Euclid: 19 February 2010

Permanent link to this document
https://projecteuclid.org/euclid.ojm/1266586784

Mathematical Reviews number (MathSciNet)
MR2666123

Zentralblatt MATH identifier
1198.34040

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

Citation

Guo, Yung-Jen Lin. A nonlocal parabolic problem arising in linear friction welding. Osaka J. Math. 47 (2010), no. 1, 33--40. https://projecteuclid.org/euclid.ojm/1266586784


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