Cylindrical blowup solutions to the Isothermal Euler-Poisson Equations

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Abstract

This proceeding is the continued version of the analytical blowup solutions for 2-dimensional Euler-Poisson equations in "M.W. Yuen, Analytical Blowup Solutions to the 2-dimensional Isothermal Euler-Poisson Equations of Gaseous Stars, J. Math. Anal. Appl. 341 (2008), 445-456". With the extension of the blowup solutions with radial symmetry for the isothermal Euler-Poisson equations in R2, the cylindrical blowup solutions in RN (N ≥ 3) with are constructed by the separation method. Here, the constructed 3- dimensional blowup solutions could be applied to interpret the evolution of cylindrical cloud for star formation in astrophysics. Copyright © 2011 American Institute of Mathematical Sciences.

Original languageEnglish
Pages (from-to)1448-1456
JournalDiscrete and Continuous Dynamical Systems- Series A
Volume2011
Issue numberSUPPL.
Publication statusPublished - Sep 2011

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Euler-Poisson Equations
Blow-up Solution
Poisson equation
Stars
Star
Radial Symmetry
Astrophysics

Citation

Yuen, M. (2011). Cylindrical blowup solutions to the Isothermal Euler-Poisson Equations. Discrete and Continuous Dynamical Systems, 2011(SUPPL.), 1448-1456.