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New method for blowup of the Euler-Poisson system
S. Chandrasekhar, An Introduction to the Study of Stellar Structure (University of Chicago Press, Chicago, IL, 1939).
C. W. Misner, K. S. Thorne, and J. A. Wheeler, Gravitation (W. H. Freeman and Company, San Fracisco, 1973).
J. Binney and S. Tremaine, Galactic Dynamics (Princeton University Press, Princeton, NJ, 1994).
M. Longair, The Cosmic Century: A History of Astrophysics and Cosmology (Cambridge University Press, Cambridge, 2006).
P. L. Lions, Mathematical Topics in Fluid Mechanics (Clarendon Press, Oxford, 1998), Vol. 1 and 2.
F. F. Chen, Introduction to Plasma Physics and Controlled Fusion (Plenum, New York, 1984).
U. Brauer, A. Rendall, and O. Reula, “The cosmic no-hair theorem and the non-linear stability of homogeneous Newtonian cosmological models,” Classical Quantum Gravity 11, 2283–2296 (1994).
T. Makino and B. Perthame, “Sur les solutions a symmetric spherique de l’equation d’Euler-Poisson pour l’evolution d’etoiles gazeuses (French) [on radially symmetric solutions of the Euler-Poisson equation for the evolution of gaseous stars],” Jpn. J. Appl. Math. 7, 165–170 (1990).
M. K. Kwong and M. W. Yuen, “Periodic solutions of 2D isothermal Euler-Poisson equations with possible applications to spiral and disk-like galaxies,” J. Math. Anal. Appl. 420, 1854–1863 (2014).
A. J. Chorin and J. E. Marsden, A Mathematical Introduction to Fluid Mechanics, 3rd ed. Texts in Applied Mathematics (Springer-Verlag, New York, 1993), Vol. 4.
T. Makino, “Exact solutions for the compressible Euler equation,” J. Osaka Sangyo Univ., Nat. Sci. 95, 21–35 (1993).
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In this paper, we provide a new method for establishing the blowup of C
2 solutions for the pressureless Euler-Poisson system with attractive forces for RN (N ≥ 2) with ρ(0, x
0) > 0 and at some point x
0 ∈ RN. By applying the generalized Hubble transformation to a reduced Riccati differential inequality derived from the system, we simplify the inequality into the Emden equation
Known results on its blowup set allow us to easily obtain the blowup conditions of the Euler-Poisson system.
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