Nonlinear Evolution of Disturbances in a (1+1)-Dimensional Universe
General Physics
2010-01-22 v1 Fluid Dynamics
Abstract
General exact solution is obtained for the problem of the development of arbitrary disturbances of the density and velocity in a (1+1)-dimensional universe. This analytical solution may serve, particularly, as a test for numerical methods. For an illustration, the nonlinear distortion of a sinusoidal perturbation of the initial density is calculated.
Keywords
Cite
@article{arxiv.1001.3709,
title = {Nonlinear Evolution of Disturbances in a (1+1)-Dimensional Universe},
author = {E. A. Novikov},
journal= {arXiv preprint arXiv:1001.3709},
year = {2010}
}
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3 pages