Issue
J. Phys. IV France
Volume 08, Number PR6, October 1998
International Conference on Disorder and Chaos in honour of Giovanni Paladin
Page(s) Pr6-121 - Pr6-130
DOI https://doi.org/10.1051/jp4:1998617
International Conference on Disorder and Chaos in honour of Giovanni Paladin

J. Phys. IV France 08 (1998) Pr6-121-Pr6-130

DOI: 10.1051/jp4:1998617

Bursts and shocks in a continuum shell model

K.H. Andersen, T. Bohr, M.H. Jensen and P. Olesen

The Niels Bohr Institute, Belgdamsvej 17, 2100 Copenhagen, Denmark


Abstract
We study a "burst" event, i. e. the evolution of an initial condition having support only in a finite interval of k-space, in the continuum shell model due to Parisi [l]. We show that the continuum equation without forcing or dissipation can be explicitly written in characteristic form and that the right and left moving parts can be solved exactly. When this is supplemented by the appropriate shock condition it is possible to find the asymptotic form of the burst.



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