Smooth global solutions for the two-dimensional Euler Poisson system
نویسندگان
چکیده
منابع مشابه
Global Smooth Ion Dynamics in the Euler-poisson System
A fundamental two-fluid model for describing dynamics of a plasma is the Euler-Poisson system, in which compressible ion and electron fluids interact with their self-consistent electrostatic force. Global smooth electron dynamics were constructed in Guo [9] due to dispersive effect of the electric field. In this paper, we construct global smooth irrotational solutions with small amplitude for i...
متن کاملGlobal existence of smooth solutions to two-dimensional compressible isentropic Euler equations for Chaplygin gases
In this paper we investigate the two-dimensional compressible isentropic Euler equations for Chaplygin gases. Under the assumption that the initial data is close to a constant state and the vorticity of the initial velocity vanishes, we prove the global existence of the smooth solution to the Cauchy problem for two-dimensional flow of Chaplygin gases.
متن کاملSubsonic Solutions for Steady Euler-Poisson System in Two-Dimensional Nozzles
In this paper, we prove the existence and stability of subsonic flows for steady full Euler-Poisson system in a two dimensional nozzle of finite length when imposing the electric potential difference on non-insulated boundary from a fixed point at the entrance, and prescribing the pressure at the exit of the nozzle. The Euler-Poisson system for subsonic flow is a hyperbolic-elliptic coupled non...
متن کاملGlobal existence and asymptotic behavior of smooth solutions for a bipolar Euler-Poisson system in the quarter plane
In the article, a one-dimensional bipolar hydrodynamic model (Euler-Poisson system) in the quarter plane is considered. This system takes the form of Euler-Poisson with electric field and frictional damping added to the momentum equations. The global existence of smooth small solutions for the corresponding initial-boundary value problem is firstly shown. Next, the asymptotic behavior of the so...
متن کاملNon-neutral Global Solutions for the Electron Euler-poisson System in 3d
We prove that small smooth irrotational but charged perturbations of a constant background are global and go back to equilibrium in the 3D electron Euler-Poissson equation.
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: Forum Mathematicum
سال: 2014
ISSN: 0933-7741,1435-5337
DOI: 10.1515/forum-2011-0153