A nonlocal parabolic problem arising in linear friction welding

zbMath1198.34040MaRDI QIDQ964009

Yung-Jen Lin Guo

Publication date: 14 April 2010

Published in: Osaka Journal of Mathematics (Search for Journal in Brave)

Full work available at URL: https://projecteuclid.org/euclid.ojm/1266586784

zbMATH Keywords

parabolic equationsnonlocal equationssteady states

Mathematics Subject Classification ID

Nonlinear boundary value problems for ordinary differential equations (34B15) Boundary value problems on infinite intervals for ordinary differential equations (34B40) Higher-order parabolic systems (35K41)

Cites Work

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• The blow-up behavior of the solution of an integrodifferential equation
• Critical length for a quenching problem with nonlocal singularity
• Quenching, nonquenching, and beyond quenching for solution of some parabolic equations
• The influence of nonlocal nonlinearities on the long time behavior of solutions of Burgers’ equation
• Dynamical Behavior of Solutions of a Semilinear Heat Equation with Nonlocal Singularity
• A nonlocal quenching problem arising in a micro-electro mechanical system
• Behaviour of a non-local equation modelling linear friction welding
• Quenching behavior for the solution of a nonlocal semilinear heat equation

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