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JOURNALS // Teoreticheskaya i Matematicheskaya Fizika // Archive

TMF, 2008 Volume 155, Number 2, Pages 202–214 (Mi tmf6205)

This article is cited in 4 papers

Nonlinear Ritz method and the motion of defects

A. K. Abramyan, S. A. Vakulenko

Institute of Problems of Mechanical Engineering, Russian Academy of Sciences

Abstract: We consider certain special dissipative systems having important physical applications. We construct approximate solutions describing the motion of defects and systems of defects. We develop a moving-defect interaction theory and calculate the friction force produced by the system of defects.

Keywords: dissipative system, approximate solution, kink, kink interaction, friction.

Received: 13.11.2006
Revised: 23.05.2007

DOI: 10.4213/tmf6205


 English version:
Theoretical and Mathematical Physics, 2008, 155:2, 678–688

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© Steklov Math. Inst. of RAS, 2024