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Acceleration waves,shock formation and stability in a gravitating atmosphere
Authors:Augusto Muracchini  Tommaso Ruggeri
Institution:(1) Dipartimento di Matematica, Università di Bologna, Bologna, Italy
Abstract:The shock formation in a gravitating atmosphere is studied by following the general nonlinear theory of discontinuity waves. In particular, we perform a discussion on the stability of an isothermal and isoentropic atmosphere and we evaluate, when the shock appears, the critical time and the critical height. Some numerical results for the solar and terrestrial atmospheres are also given.
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