The Riemann problem for an elastic string with a linear Hooke's law
H. Hanche-Olsen, H. Holden, and N.H. Risebro
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.
- Available as PostScript (448 Kbytes) or
gzipped PostScript (188 Kbytes; uncompress
- H. Hanche-Olsen,
- H. Holden,
- N.H. Risebro,
- Publishing information:
- Appeared in Quarterly of Applied Mathematics 60,
- Submitted by:
April 21 2000.
Preprint Server Homepage
© The copyright for the following
documents lies with the authors. Copies of these documents made by electronic
or mechanical means including information storage and retrieval systems, may
only be employed for personal use.
Conservation Laws Preprint Server <email@example.com>
2003-01-29 19:01:27 UTC