Inventiones mathematicae - We construct a class of global, dynamical solutions to the 3d Euler equations near the stationary state given by uniform "rigid body" rotation. These...Guo, YanBrown University, Providence, USAPausader, BenoitBrown University, Providence, USAWidmayer, Klaus...
family of self-similar weak solutions are constructed in two-dimensional space for all positive time to the axisymmetric Euler equations for the Chaplygin ... LW Guo - 《Chinese Journal of Contemporary Mathematics》 被引量: 0发表: 2011年 Axisymmetric solutions of the Chaplygin gas for initial neg...
In (Comm Pure Appl Math 62(4):502–564, 2009 ), Hou and Lei proposed a 3D model for the axisymmetric incompressible Euler and Navier–Stokes equations with swirl. This model shares a number of properties of the 3D incompressible Euler and Navier–Stokes equations. In this paper, we prove...
a r X i v : m a t h / 0 7 0 3 1 4 4 v 1 [ m a t h . A P ] 6 M a r 2 0 0 7 ON THE GLOBAL EXISTENCE FOR THE AXISYMMETRIC EULER EQUATIONS HAMMADI ABIDI, TAOUFIK HMIDI, AND SAHBI KERAANI Abstract. This paper deals with the global well-posedness of the 3D axisymm...
Some features of this article are the following: (i) we do not require the initial data to be axisymmetric; (ii) the Sobolev exponent s can be an arbitrary big positive integer; and (iii) the explicit asymptotic expansion formulas of Sobolev regular solution is given. The key point of ...
L. Du, B. Duan, Global subsonic Euler flows in an infinitely long axisymmetric nozzle. J. Differential Equations 250 (2011), 813-847.L. L. Du, B. Duan. Global subsonic Euler flows in an infinitely long axisymmetric nozzle. J. Differential Equations. Vol. 250, No.2, 813-847....
Alinhac establishes that the axisymmetric smooth solution blows up. In the present paper, for 2D compressible isentropic Euler equations of Chaplygin gases, we show that the small perturbed smooth solution exists globally when the rotationally invariant initial data are a perturbation of size 蔚 > 0...
We consider the stability of the global weak solution of the Quantum Euler system in two space dimensions. More precisely, we establish compactness properties of global finite energy weak solution for large initial data provided that these are axisymmetric. The main novelty is...
This\nsystem couples the Euler equation with a transport-diffusion equation governing\nthe temperature.Taoufik HmidiFrederic RoussetH.Taoufik,R.Frederic.Global well-posedness for the Navier-Stokes-Boussinesq system with axisymmetric data. Ann.I.H.Poincare-AN . 2010...
We work in two space dimensions and start with initial data which are rotation invariant around 0 and of the type considered by Serre and Grassin–Serre. We then consider slightly perturbed initial data which are also rotation invariant around 0 and jump across a given circle centered at 0, ...