Global Smooth Ion Dynamics in the Euler-Poisson System
By Yan Guo, Benoit Pausader. 2010
168 citations recorded by the source corpus.
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 (Commun Math Phys 195:249–265, 1998) due to dispersive effect of the electric field. In this paper, we construct global smooth irrotational solutions with small amplitude for ion dynamics in the Euler-Poisson system.
Subfields: Applied Mathematics, Mathematical Physics, Statistical and Nonlinear Physics
View Paper: https://www.semanticscholar.org/paper/bf40e12bf1ce80d8c25c59e0828129b8455838a5
How researchers see this paper
The researchers whose trusted networks rank it highest, strongest advocate first. Every researcher gets a different order.
In Applied Mathematics
In Mathematical Physics
In Statistical and Nonlinear Physics
Citations in the corpus
- Stability of rarefaction waves of the Navier-Stokes-Poisson system (2014, methodology): “Motivated by [11, 16] for the study of the inviscid Euler-Poisson equations, we will be firstly concerned with the motion of the one viscous fluid of ions under the Boltzmann relation.”
- Global existence for the Euler-Maxwell system (2011, unknown): “Such of result was first obtained by Guo [17] for repulsive Euler-Poisson; and by Guo and Pausader [18] for the ion dynamics in Euler-Maxwell.”