Convergence of Compressible Euler–Maxwell Equations to Incompressible Euler Equations

2008 ◽  
Vol 33 (3) ◽  
pp. 349-376 ◽  
Author(s):  
Yue-Jun Peng ◽  
Shu Wang
Keyword(s):  
Euler Equations ◽  
Maxwell Equations ◽  
Incompressible Euler Equations ◽  
Compressible Euler ◽  
Incompressible Euler

scholarly journals Some Exact Solutions of Compressible and Incompressible Euler Equations

2020 ◽  
pp. 26-37
Author(s):  
Rulv Li ◽  
Zhihui Ye ◽  
Yunnan Minzu
Keyword(s):  
Exact Solutions ◽  
Euler Equations ◽  
Compressible Euler Equations ◽  
Three Dimension ◽  
Incompressible Euler Equations ◽  
Compressible Euler ◽  
Incompressible Euler

In this paper, we use a surprised system to construct some exact solutions of compressible Euler equations with two and three dimension. Furthermore, we also give other exact solutions of three dimension incompressible Euler equations.

scholarly journals Convergence of a Singular Euler-Maxwell Approximation of the Incompressible Euler Equations

2011 ◽  
Vol 2011 ◽  
pp. 1-13
Author(s):  
Jianwei Yang ◽  
Hongli Wang
Keyword(s):  
Euler Equations ◽  
Collisionless Plasma ◽  
Maxwell System ◽  
Energy Estimation ◽  
Incompressible Euler Equations ◽  
Incompressible Euler

This paper studies the Euler-Maxwell system which is a model of a collisionless plasma. By energy estimation and the curl-div decomposition of the gradient, we rigorously justify a singular approximation of the incompressible Euler equations via a quasi-neutral regime.

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