Changes between Version 19 and Version 20 of u/erica/JeansInstability


Ignore:
Timestamp:
06/28/13 22:50:03 (12 years ago)
Author:
Erica Kaminski
Comment:

Legend:

Unmodified
Added
Removed
Modified
  • u/erica/JeansInstability

    v19 v20  
    3636= The Jeans Instability =
    3737
    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($\rho_1$)]]):
     38Linear 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($\rho_1$)]]):
    4239
    4340[[latex($\frac{\partial^2\rho_1}{\partial t^2} - C_s^2 \triangledown^2 \rho_1 - 4\pi G \rho_0 \rho_1 = 0$)]]