scholarly journals Vortex solutions of Euler equation and its properties

2016 ◽  
pp. 1-20
Author(s):  
Nikolay Nikolaevich Fimin ◽  
Valery Mihailovich Chechetkin
Keyword(s):  
Euler Equation ◽  
Vortex Solutions

Elimination of spurious loss in Euler equation computations

AIAA Journal ◽  
2000 ◽  
Vol 38 ◽  
pp. 411-417
Author(s):  
Mark Drela ◽  
Ali Merchant ◽  
Jaime Peraire
Keyword(s):  
Euler Equation

scholarly journals A theory of giant vortices

2021 ◽  
Vol 2021 (8) ◽  
Author(s):  
Alexander A. Penin ◽  
Quinten Weller
Keyword(s):  
Asymptotic Expansion ◽  
Analytic Form ◽  
Scalar Fields ◽  
Winding Number ◽  
Asymptotic Results ◽  
Convergence Region ◽  
Ginzburg Landau ◽  
Landau Model ◽  
Neutral Scalar ◽  
Vortex Solutions

Abstract We elaborate a theory of giant vortices [1] based on an asymptotic expansion in inverse powers of their winding number n. The theory is applied to the analysis of vortex solutions in the abelian Higgs (Ginzburg-Landau) model. Specific properties of the giant vortices for charged and neutral scalar fields as well as different integrable limits of the scalar self-coupling are discussed. Asymptotic results and the finite-n corrections to the vortex solutions are derived in analytic form and the convergence region of the expansion is determined.

On the Existence for the Free Interface 2D Euler Equation with a Localized Vorticity Condition

2016 ◽  
Vol 73 (3) ◽  
pp. 523-544 ◽  
Author(s):  
Igor Kukavica ◽  
Amjad Tuffaha ◽  
Vlad Vicol ◽  
Fei Wang
Keyword(s):  
Euler Equation ◽  
Free Interface ◽  
2D Euler Equation
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