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2011, 2011(Special): 1448-1456. doi: 10.3934/proc.2011.2011.1448

Cylindrical blowup solutions to the isothermal Euler-Poisson equations

Manwai Yuen 1,

1. 

Department of Applied Mathematics, The Hong Kong Polytechnic University, Hung Hom, Kowloon, Hong Kong, China

Received  June 2010 Revised  February 2011 Published  October 2011

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 R$^2$, the cylindrical blowup solutions in R$^N$ ($N>=3$) 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.
Keywords: $R^N$, global solutions, classical solutions, Euler-Poisson equations, blowup, star formation, isothermal, cylindrical, Analytical solutions.
Mathematics Subject Classification: Primary: 35Q85 85A15; Secondary: 35B44, 35Q30, 35Q35, 85A05.
Citation: Manwai Yuen. Cylindrical blowup solutions to the isothermal Euler-Poisson equations. Conference Publications, 2011, 2011 (Special) : 1448-1456. doi: 10.3934/proc.2011.2011.1448
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