Formation of Singularities in Elastic Waves
Part of the Contemporary Mathematicians book series (CM)
This paper deals with the radial solutions of the dynamic equations for an isotropic homogeneous hyperelastic medium. It is shown that nontrivial solutions “blow up” (cease to exist in the proper sense) after a finite time, if:
The equations satisfy a certain “genuine nonlinearity condition”.
The initial data have compact support and are “sufficiently small”.
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© Springer Science+Business Media New York 1985