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1962
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Robert Simon, « Sur l'instabilité gravitationnelle de Jeans », Bulletins de l'Académie Royale de Belgique (documents), ID : 10.3406/barb.1962.65614
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Résumé
Jeans's gravitational instability is studied by investigating the evolution of an initial (t = 0) disturbance of finite extent. We solve this problem by means of the Laplace transform technique, in the case of one-dimensional plane perturbations. We denote by a the linear dimension of the initial disturbance and we show, in considering the particular case in which this initial disturbance is characterized by a single wave-length, that the evolution of the density at the center of the perturbed region exhibits the pheno¬ menon of gravitational instability, when t → ∞, irrespective of the value of a as compared to Jeans's critical wave-length λc.
