Blow-up phenomena for compressible Euler equations with non-vacuum initial data
نویسندگان
چکیده
منابع مشابه
Vanishing of Vacuum States and Blow-up Phenomena of the Compressible Navier-Stokes Equations
The Navier-Stokes systems for compressible fluids with density-dependent viscosities are considered in the present paper. These equations, in particular, include the ones which are rigorously derived recently as the Saint-Venant system for the motion of shallow water, from the Navier-Stokes system for incompressible flows with a moving free surface [14]. These compressible systems are degenerat...
متن کاملBlowup 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,...
متن کاملConvergence Rate for Compressible Euler Equations with Damping and Vacuum
We study the asymptotic behavior of L∞ weak-entropy solutions to the compressible Euler equations with damping and vacuum. Previous works on this topic are mainly concerned with the case away from the vacuum and small initial data. In the present paper, we prove that the entropy-weak solution strongly converges to the similarity solution of the porous media equations in L(R) (2 p < ∞) with deca...
متن کاملWell-posedness for compressible Euler equations with physical vacuum singularity
An important problem in the theory of compressible gas flows is to understand the singular behavior of vacuum states. The main difficulty lies in the fact that the system becomes degenerate at the vacuum boundary, where the characteristics coincide and have unbounded derivative. In this paper, we overcome this difficulty by presenting a new formulation and new energy spaces. We establish the lo...
متن کاملInitial Boundary Value Problem for Compressible Euler Equations with Relaxation
In this paper, we study the global exisitence of L∞ weak entropy solution to the initial boundary value problem for compressible Euler equations with relaxtion and the large time asymptotic behavior of the solution. Motivated by the sub-characterisitic conditions, we proposed some structural conditions on the relaxation term comparing with the pressure function. These conditions are proved to b...
متن کاملذخیره در منابع من
با ذخیره ی این منبع در منابع من، دسترسی به آن را برای استفاده های بعدی آسان تر کنید
ژورنال
عنوان ژورنال: Zeitschrift für angewandte Mathematik und Physik
سال: 2015
ISSN: 0044-2275,1420-9039
DOI: 10.1007/s00033-015-0535-9