Analytical Blowup Solutions to the 2-dimensional Isothermal Euler-Poisson Equations of Gaseous Stars

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dc.creatorYuen, Manwai
dc.date2008-12-05
dc.date.accessioned2026-07-07T12:16:09Z
dc.date.available2026-07-07T12:16:09Z
dc.descriptionWe study the Euler-Poisson equations of describing the evolution of the gaseous star in astrophysics. Firstly, we construct a family of analytical blowup solutions for the isothermal case in R^2. Furthermore the blowup rate of the above solutions is also studied and some remarks about the applicability of such solutions to the Navier-Stokes-Poisson equations and the drift-diffusion model in semiconductors are included. Finally, for the isothermal case, the result of Makino and Perthame for the tame solutions is extended to show that the life span of such solutions must be finite if the initial data is with compact support.
dc.description15 pages
dc.identifierhttps://arxiv.org/abs/0812.1110
dc.identifierhttp://arxiv.org/abs/0812.1110
dc.identifierJ.Math.Anal.Appl.341:445-456,2008
dc.identifierdoi:10.1016/j.jmaa.2007.10.026
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/211713
dc.subjectAstrophysics
dc.subjectMathematical Physics
dc.titleAnalytical Blowup Solutions to the 2-dimensional Isothermal Euler-Poisson Equations of Gaseous Stars
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