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arXiv · 0705.3120

Time-dependent analytic solutions of quasi-steady shocks with cooling

P. Lesaffre
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Abstract

I present time-dependent analytical solutions of quasi-steady shocks with cooling, where quasi-steady shocks are objects composed of truncated steady-state models of shocks at any intermediate time. I compare these solutions to simulations with a hydrodynamical code and finally discuss quasi-steady shocks as approximations to time-dependent shocks. Large departure of both the adiabatic and steady-state approximations from the quasi-steady solution emphasise the importance of the cooling history in determining the trajectory of a shock.

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P. Lesaffre. 2007-05-22. Time-dependent analytic solutions of quasi-steady shocks with cooling. https://doi.org/10.1080/03091920600738416

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