The nonlinear interaction of smooth travelling waves in an elastic string |
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Authors: | Michael Shearer |
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Institution: | Department of Mathematics, Duke University, Durham, NC 27706, U.S.A. |
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Abstract: | It is shown that the collision of approaching weak travelling waves in a nonlinearly elastic leads to shock formation in finite time. Whereas the travelling waves are transverse, the shock is formed in the longitudinal waves generated by the collision. |
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