scholarly journals Global existence of a weak solution of the incompressible Euler equations with helical symmetry and $L^p$ vorticity

2015 ◽  
Vol 64 (1) ◽  
pp. 309-341 ◽  
Author(s):  
Anne Bronzi ◽  
Helena Judith Nussenzveig Lopes ◽  
Milton da Costa Lopes Filho
Keyword(s):  
Weak Solution ◽  
Global Existence ◽  
Euler Equations ◽  
Helical Symmetry ◽  
Incompressible Euler Equations ◽  
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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