Time-dependent analytic solutions of quasi-steady shocks with cooling |
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Authors: | Pierre Lesaffre |
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Institution: | 1. Laboratoire de Radioastronomie , 24 rue Lhomond, 75231 PARIS Cedex 05, France pierre.lesaffre@lra.ens.fr |
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Abstract: | The author presents 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. These solutions are compared to simulations with a hydrodynamical code and finally quasi-steady shocks are discussed 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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Keywords: | Analytic solutions Time-dependent Shocks Cooling |
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