Blowup for the Euler and Euler–Poisson equations with repulsive forces
نویسندگان
چکیده
منابع مشابه
Blowup Phenomena for the Compressible Euler and Euler-Poisson Equations with Initial Functional Conditions
We study, in the radial symmetric case, the finite time life span of the compressible Euler or Euler-Poisson equations in R (N) . 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 = Kρ (γ) , where ρ is the density function, K is a constant, and γ > 1,...
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BACKGROUND The N-dimensional isentropic compressible Euler system with a damping term is one of the most fundamental equations in fluid dynamics. Since it does not have a general solution in a closed form for arbitrary well-posed initial value problems. Constructing exact solutions to the system is a useful way to obtain important information on the properties of its solutions. METHOD In this...
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ژورنال
عنوان ژورنال: Nonlinear Analysis: Theory, Methods & Applications
سال: 2011
ISSN: 0362-546X
DOI: 10.1016/j.na.2010.10.019