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.
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- H. Hanche-Olsen,
- H. Holden,
- N.H. Risebro,
- Publishing information:
- Appeared in Quarterly of Applied Mathematics 60,
- Submitted by:
April 21 2000.
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