Preprint 2000-014
The Riemann problem for an elastic string with a linear Hooke's law
H. Hanche-Olsen, 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. Hanche-Olsen,
<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,
695-705 (2002).
- Comments:
-
- Submitted by:
-
<hanche@math.ntnu.no>
April 21 2000.
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