Blowup Phenomenon of Solutions for the IBVP of the Compressible Euler Equations in Spherical Symmetry
Joint Authors
Source
Issue
Vol. 2016, Issue 2016 (31 Dec. 2016), pp.1-6, 6 p.
Publisher
Hindawi Publishing Corporation
Publication Date
2016-02-03
Country of Publication
Egypt
No. of Pages
6
Main Subjects
Medicine
Information Technology and Computer Science
Abstract EN
The blowup phenomenon of solutions is investigated for the initial-boundary value problem (IBVP) of the N-dimensional Euler equations with spherical symmetry.
We first show that there are only trivial solutions when the velocity is of the form c(t)xα-1x+b(t)(x/x) for any value of α≠1 or any positive integer N≠1.
Then, we show that blowup phenomenon occurs when α=N=1 and c2(0)+c˙(0)<0.
As a corollary, the blowup properties of solutions with velocity of the form (a˙t/at)x+b(t)(x/x) are obtained.
Our analysis includes both the isentropic case (γ>1) and the isothermal case (γ=1).
American Psychological Association (APA)
Cheung, Ka Luen& Wong, Sen. 2016. Blowup Phenomenon of Solutions for the IBVP of the Compressible Euler Equations in Spherical Symmetry. The Scientific World Journal،Vol. 2016, no. 2016, pp.1-6.
https://search.emarefa.net/detail/BIM-1120410
Modern Language Association (MLA)
Cheung, Ka Luen& Wong, Sen. Blowup Phenomenon of Solutions for the IBVP of the Compressible Euler Equations in Spherical Symmetry. The Scientific World Journal No. 2016 (2016), pp.1-6.
https://search.emarefa.net/detail/BIM-1120410
American Medical Association (AMA)
Cheung, Ka Luen& Wong, Sen. Blowup Phenomenon of Solutions for the IBVP of the Compressible Euler Equations in Spherical Symmetry. The Scientific World Journal. 2016. Vol. 2016, no. 2016, pp.1-6.
https://search.emarefa.net/detail/BIM-1120410
Data Type
Journal Articles
Language
English
Notes
Includes bibliographical references
Record ID
BIM-1120410