Changes between Version 19 and Version 20 of u/erica/JeansInstability
- Timestamp:
- 06/28/13 22:50:03 (12 years ago)
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u/erica/JeansInstability
v19 v20 36 36 = The Jeans Instability = 37 37 38 39 40 41 Linear perturbative analyis on the self-gravitating fluid equations under the assumption of infinite, constant ([[latex($v_0$)]]), static background density ([[latex($\rho_0$)]]) results in the following 2nd order PDE in the density perturbation ([[latex($\rho_1$)]]): 38 Linear perturbative analyis on the self-gravitating fluid equations under the assumption of infinite, constant density ([[latex($\rho = \rho_0$)]]), static ([[latex($v = 0$)]]) background results in the following 2nd order PDE in the density perturbation ([[latex($\rho_1$)]]): 42 39 43 40 [[latex($\frac{\partial^2\rho_1}{\partial t^2} - C_s^2 \triangledown^2 \rho_1 - 4\pi G \rho_0 \rho_1 = 0$)]]