The Riemann problem for an elastic string with a linear Hooke’s law
The Riemann problem for an elastic string with a linear Hooke’s law
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 <inline-formula content-type="math/mathml"> <mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" alttext="4 times 4"> <mml:semantics> <mml:mrow> <mml:mn>4</mml:mn> <mml:mo>×</mml:mo> <mml:mn>4</mml:mn> …