Analytical blowup solutions to the 2-dimensional isothermal Euler-Poisson equations of gaseous stars

Journal of Mathematical Analysis and Applications

Volumn 341, Issue 1, 2008, Pages 445-456

  Yuen, Manwai ^a  

^a HANG SENG MANAGEMENT COLLEGE   (Hong Kong)

Author keywords

2 Dimensional; Blowup rates; Blowup solutions; Euler Poisson equations; Isothermal

Indexed keywords

EID: 38749098691     PISSN: 0022247X     EISSN: 10960813     Source Type: Journal    
DOI: 10.1016/j.jmaa.2007.10.026     Document Type: Article

References (11)

1. Bezard M. Existence locale de solutions pour les equations d'Euler-Poisson (Local existence of solutions for Euler-Poisson equations). Japan J. Indust. Appl. Math. 10 3 (1993) 431-450 (in French)
2. Chandrasekhar S. An Introduction to the Study of Stellar Structure (1939), University of Chicago Press
3. Coddington E.A., and Levinson N. Theory of Ordinary Differential Equations (1955), McGraw-Hill
4. Deng Y.B., Liu T.P., Yang T., and Yao Z.A. Solutions of Euler-Poisson equations for gaseous stars. Arch. Ration. Mech. Anal. 164 (2002) 261-285
5. Deng Y.B., Xiang J.L., and Yang T. Blowup phenomena of solutions to Euler-Poisson equations. J. Math. Anal. Appl. 286 1 (2003) 295-306
6. Gamblin P. Solution reguliere a temps petit pour l'equation d'Euler-Poisson (Small-time regular solution for the Euler-Poisson equation). Comm. Partial Differential Equations 18 5-6 (1993) 731-745 (in French)
7. Goldreich P., and Weber S. Homologously collapsing stellar cores. Astrophys. J. 238 (1980) 991-997
8. Kippenhahn R., and Weigert A. Stellar Structure and Evolution (1990), Springer-Verlag
9. Makino T. Blowing up solutions of the Euler-Poisson equation for the evolution of the gaseous stars. Transport Theory Statist. Phys. 21 (1992) 615-624
10. Makino T., and Perthame B. Sur les Solutions a symmetric spherique de l'equation d'Euler-Poisson Pour levolution d'etoiles gazeuses. Japan J. Indust. Appl. Math. 7 (1990) 165-170
11. N. J. Math. Anal. Appl. 329 2 (2007) 1064-1079