Blowup Phenomena for the Compressible Euler and Euler-Poisson Equations with Initial Functional Conditions
Joint Authors
Source
Issue
Vol. 2014, Issue 2014 (31 Dec. 2014), pp.1-5, 5 p.
Publisher
Hindawi Publishing Corporation
Publication Date
2014-03-30
Country of Publication
Egypt
No. of Pages
5
Main Subjects
Medicine
Information Technology and Computer Science
Abstract EN
We study, in the radial symmetric case, the finite time life span of the compressible Euler or Euler-Poisson equations in RN.
For time t≥0, we can define a functional H(t) associated with the solution of the equations and some testing function f.
When the pressure function P of the governing equations is of the form P=Kργ, where ρ is the density function, K is a constant, and γ>1, we can show that the nontrivial C1 solutions with nonslip boundary condition will blow up in finite time if H(0) satisfies some initial functional conditions defined by the integrals of f.
Examples of the testing functions include rN-1ln(r+1), rN-1er, rN-1(r3-3r2+3r+ε), rN-1sin((π/2)(r/R)), and rN-1sinh r.
The corresponding blowup result for the 1-dimensional nonradial symmetric case is also given.
American Psychological Association (APA)
Wong, Sen& Yuen, Manwai. 2014. Blowup Phenomena for the Compressible Euler and Euler-Poisson Equations with Initial Functional Conditions. The Scientific World Journal،Vol. 2014, no. 2014, pp.1-5.
https://search.emarefa.net/detail/BIM-1050181
Modern Language Association (MLA)
Wong, Sen& Yuen, Manwai. Blowup Phenomena for the Compressible Euler and Euler-Poisson Equations with Initial Functional Conditions. The Scientific World Journal No. 2014 (2014), pp.1-5.
https://search.emarefa.net/detail/BIM-1050181
American Medical Association (AMA)
Wong, Sen& Yuen, Manwai. Blowup Phenomena for the Compressible Euler and Euler-Poisson Equations with Initial Functional Conditions. The Scientific World Journal. 2014. Vol. 2014, no. 2014, pp.1-5.
https://search.emarefa.net/detail/BIM-1050181
Data Type
Journal Articles
Language
English
Notes
Includes bibliographical references
Record ID
BIM-1050181