Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
4632166 | Applied Mathematics and Computation | 2010 | 11 Pages |
Abstract
In this paper, we study the quasi-neutral limit of compressible Euler–Poisson equations in plasma physics in the torus TdTd. For well prepared initial data the convergence of solutions of compressible Euler–Poisson equations to the solutions of incompressible Euler equations is justified rigorously by an elaborate energy methods based on studies on an λ-weighted Lyapunov-type functional. One main ingredient of establishing uniformly a priori estimates with respect to λ is to use the curl–div decomposition of the gradient.
Related Topics
Physical Sciences and Engineering
Mathematics
Applied Mathematics
Authors
Shu Wang, Jianwei Yang, Dang Luo,