WIAS Preprint No. 956, (2004)

A general asymptotic dynamic model for Lipschitzian curved rods


Authors

  • Vodák, Rostislav

2010 Mathematics Subject Classification

  • 74K10 35L15 74B99

Keywords

  • curved rods, low geometrical regularity, evolution equation, asymptotic analysis

DOI

10.20347/WIAS.PREPRINT.956

Abstract

In this paper we study the asymptotic behaviour of solutions to the linear evolution problem for clamped curved rods with the small thickness $epsilon $ under minimal regularity assumptions on the geometry. In addition, non-constant density of the curved rods is considered.

Appeared in

  • J. Appl. Math. 2005, no. 4, 425--451

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