Existence of radial global smooth solutions to the pressureless Euler-Poisson equations with quadratic confinement

We consider the pressureless Euler-Poisson equations with quadratic confinement. For spatial dimension $d\ge 2,\,d\ne 4$, we give a necessary and sufficient condition for the existence of radial global smooth solutions, which is formulated explicitly in terms of the initial data. This condition appe...

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Bibliographic Details
Main Authors: Carrillo de la Plata, JA, Shu, R
Format: Journal article
Language:English
Published: American Mathematical Society 2022