Sur la stabilité des ondes simples de compression et de raréfaction

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1970

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Copyright PERSEE 2003-2023. Works reproduced on the PERSEE website are protected by the general rules of the Code of Intellectual Property. For strictly private, scientific or teaching purposes excluding all commercial use, reproduction and communication to the public of this document is permitted on condition that its origin and copyright are clearly mentionned.



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Paul Glansdorff et al., « Sur la stabilité des ondes simples de compression et de raréfaction », Bulletins de l'Académie Royale de Belgique, ID : 10.3406/barb.1970.61813


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We consider in this paper the linear stability problem of an isentropic, one-dimensional flow of a perfect fluid. In particular, we investigate the stability of the simple rarefaction and compression wave. We prove the instability of the compression wave when dissipative effects are disregarded. We follow the method formerly established by one of us and Prigogine on the stability of non equilibrium states (Physica 46, 344, 1970). The example treated, belongs to the class of time dependent stability problems.

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