# Rigorous proof of the slightly nonlinear Jeans instability in the expanding Newtonian universe

@article{Liu2022RigorousPO, title={Rigorous proof of the slightly nonlinear Jeans instability in the expanding Newtonian universe}, author={Chao Liu and Yiqing Shi}, journal={Physical Review D}, year={2022} }

Yiqing Shi† School of Mathematics and Statistics, Huazhong University of Science and Technology, Wuhan 430074, Hubei Province, China. Abstract Due to the nonlinearity of the Euler–Poisson equations, it is possible that the nonlinear Jeans instability may lead to a faster density growing rate than the rate in the standard theory of linearized Jeans instability, which motivates us to study the nonlinear Jeans instability. The aim of this article is to develop a method proving the Jeans…

## One Citation

### Blowups for a class of second order nonlinear hyperbolic equations: A reduced model of nonlinear Jeans instability

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. Due to the importance of understanding the formation of the nonlinear structures in the universe and stellar systems, the nonlinear Jeans instability which plays the key role in these formation…

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