The Two Dimensional Euler Equation: A Statistical Study

1999 ◽  
Vol 201 (1) ◽  
pp. 139-154 ◽  
Author(s):  
Fernanda Cipriano
Keyword(s):  
Euler Equation ◽  
Statistical Study ◽  
Two Dimensional

Inhomogeneous two-dimensional photonic media: A statistical study

2012 ◽  
Vol 285 (21-22) ◽  
pp. 4441-4445 ◽  
Author(s):  
M. Bellingeri ◽  
E. Tenca ◽  
F. Scotognella
Keyword(s):  
Statistical Study ◽  
Two Dimensional

Two-dimensional Riemann problems of simplified Euler equation

1998 ◽  
Vol 43 (6) ◽  
pp. 441-444 ◽  
Author(s):  
Xiaozhou Yang ◽  
Feimin Huang
Keyword(s):  
Euler Equation ◽  
Two Dimensional ◽  
Riemann Problems

Hamiltonian vortices and reconnection in a magnetized plasma

1998 ◽  
Vol 59 (4) ◽  
pp. 727-736 ◽  
Author(s):  
B. N. KUVSHINOV ◽  
V. P. LAKHIN ◽  
F. PEGORARO ◽  
T. J. SCHEP
Keyword(s):  
Magnetic Flux ◽  
Euler Equation ◽  
Fluid Model ◽  
Magnetized Plasma ◽  
Two Dimensional ◽  
Magnetic Islands ◽  
Electron Momentum ◽  
Lagrangian Form ◽  
Two Fluid Model ◽  
Two Fluid

Hamiltonian vortices and reconnection in magnetized plasmas are investigated analytically and numerically using a two-fluid model. The equations are written in the Lagrangian form of three fields that are advected with different velocities. This system can be considered as a generalization and extension of the two-dimensional Euler equation for an ordinary fluid. It is pointed out that these equations allow solutions in the form of singular current-vortex filaments, drift-Alfvén vortices and magnetic islands, and admit collisionless magnetic reconnection where magnetic flux is converted into electron momentum and ion vorticity.

Sign in / Sign up

Export Citation Format

Share Document