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• W1983412833 abstract "Pressureless Euler-Poisson equations with attractive forces are standard models in Newtonian cosmology. In this article, we further develop the spectral dynamics method and apply a novel spectral-dynamics-integration method to study the blowup conditions for $C^{2}$ solutions with a bounded domain, $leftVert X(t)rightVert leq X_{0}$, where $leftVertcdotrightVert $ denotes the volume and $X_{0}$ is a positive constant. In particular, we show that if the cosmological constant $Lambda<M/X_{0}$, with the total mass $M$, then the non-trivial $C^{2}$ solutions in $R^{N}$ with the irrotational initial condition blow up at a finite time." @default.
• W1983412833 created "2016-06-24" @default.
• W1983412833 creator A5058546949 @default.
• W1983412833 date "2014-07-01" @default.
• W1983412833 modified "2023-10-18" @default.
• W1983412833 title "Blowup forC2solutions of the N -dimensional Euler–Poisson equations in Newtonian cosmology" @default.
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• W1983412833 doi "https://doi.org/10.1016/j.jmaa.2014.02.004" @default.
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