Abstract. The subject of this paper is the non perturbed self-similar implosion of a continuous stratified medium in cylindrical and spherical geometry. The main contribution is twofold. The first one is a condition on the initial density profile which guarantees that the integral of the internal energy over a fixed volume stays finite at the collapse. The second one is the proof that the self-similar implosion model partly restitutes the dynamics of an experiment of cylindrical implosion. Numerical values of the self-similar parameter \(\alpha\) are also given for various kind of stratified media in the two geometries.
This is a preview of subscription content, log in via an institution to check access.
Similar content being viewed by others
Author information
Authors and Affiliations
Additional information
Received 8 March 1999 / Accepted 9 April 2001
Rights and permissions
About this article
Cite this article
Toqué, N. Self-similar implosion of a continuous stratified medium. Shock Waves 11, 157–165 (2001). https://doi.org/10.1007/PL00004074
Issue Date:
DOI: https://doi.org/10.1007/PL00004074