Preprint 2000014
The Riemann problem for an elastic string with a linear Hooke's law
H. HancheOlsen, H. Holden, and N.H. Risebro
Abstract:
We solve the Riemann problem for vibrations of
an infinite, planar, perfectly elastic string with a linear relation
between the string tension and the local stretching, i.e., with a
linear Hooke's law.
The motion is governed by a $4\times 4$ system of
conservation laws that is linearly degenerate in all wave families.
Conservation of energy leads to $L^2$ estimates that are used in the analysis.
 Paper:
 Available as PostScript (448 Kbytes) or
gzipped PostScript (188 Kbytes; uncompress
using gunzip).
 Author(s):
 H. HancheOlsen,
<hanche@math.ntnu.no>
 H. Holden,
<holden@math.ntnu.no>
 N.H. Risebro,
<nilshr@math.uio.no>
 Publishing information:
 Appeared in Quarterly of Applied Mathematics 60,
695705 (2002).
 Comments:

 Submitted by:

<hanche@math.ntnu.no>
April 21 2000.
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