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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 [Formula: see text] , 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 a...

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Detalles Bibliográficos
Autores principales: Carrillo, José A., Shu, Ruiwen
Formato: Online Artículo Texto
Lenguaje:English
Publicado: Springer Berlin Heidelberg 2023
Materias:
Acceso en línea:https://www.ncbi.nlm.nih.gov/pmc/articles/PMC10393895/
https://www.ncbi.nlm.nih.gov/pubmed/37538138
http://dx.doi.org/10.1007/s00205-023-01905-5