scholarly journals Remarks on a paper by Gavrilov: Grad–Shafranov equations, steady solutions of the three dimensional incompressible Euler equations with compactly supported velocities, and applications

2019 ◽  
Vol 29 (6) ◽  
pp. 1773-1793 ◽  
Author(s):  
Peter Constantin ◽  
Joonhyun La ◽  
Vlad Vicol
Keyword(s):  
Euler Equations ◽  
Three Dimensional ◽  
Compactly Supported ◽  
Incompressible Euler Equations ◽  
Steady Solutions ◽  
Incompressible Euler

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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