Bursts and Shocks in a Continuum Shell Model

Details Bursts and Shocks in a Continuum Shell Model Bursts and Shocks in a Continuum Shell Model

1998-03-26

arxiv.org/abs/chao-dyn/9803032v1

Physics

High Energy Physics

High Energy Physics - Theory

15 pages, 2 eps figures included, Latex 2e. Contribution to the proceedings of the conference: Disorder and Chaos, in honour o

Scientific paper

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. 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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