scholarly journals Numerical simulations of possible finite time singularities in the incompressible Euler equations: Comparison of numerical methods

2008 ◽  
Vol 237 (14-17) ◽  
pp. 1932-1936 ◽  
Author(s):  
Tobias Grafke ◽  
Holger Homann ◽  
Jürgen Dreher ◽  
Rainer Grauer
Keyword(s):  
Numerical Methods ◽  
Numerical Simulations ◽  
Euler Equations ◽  
Finite Time ◽  
Incompressible Euler Equations ◽  
Time Singularities ◽  
Incompressible Euler

scholarly journals Finite time singularities for the free boundary incompressible Euler equations

2013 ◽  
Vol 178 (3) ◽  
pp. 1061-1134 ◽  
Author(s):  
Angel Castro ◽  
Diego Córdoba ◽  
Charles Fefferman ◽  
Francisco Gancedo ◽  
Javier Gómez-Serrano
Keyword(s):  
Free Boundary ◽  
Euler Equations ◽  
Finite Time ◽  
Incompressible Euler Equations ◽  
Time Singularities ◽  
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.

scholarly journals An adaptive projection method for the incompressible Euler equations

1993 ◽  
Author(s):  
ANN ALMGREN ◽  
JOHN BELL ◽  
PHILLIP COLELLA ◽  
LOUIS HOWELL
Keyword(s):  
Euler Equations ◽  
Projection Method ◽  
Incompressible Euler Equations ◽  
Incompressible Euler
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