scholarly journals Axi‐symmetrization near Point Vortex Solutions for the 2D Euler Equation

2021 ◽  
Author(s):  
Alexandru Ionescu ◽  
Hao Jia
Keyword(s):  
Euler Equation ◽  
Point Vortex ◽  
2D Euler Equation ◽  
Vortex Solutions

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

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

scholarly journals Stochastic stability of invariant measures: The 2D Euler equation

2019 ◽  
Vol 33 (17) ◽  
pp. 1950185
Author(s):  
F. Cipriano ◽  
H. Ouerdiane ◽  
R. Vilela Mendes
Keyword(s):  
Euler Equation ◽  
Coherent Structures ◽  
Stochastic Stability ◽  
Invariant Measures ◽  
Finite Dimensional ◽  
Stochastically Stable ◽  
2D Euler Equation ◽  
Stable Measures ◽  
Dissipative Dynamical Systems ◽  
Selection Of

In finite-dimensional dissipative dynamical systems, stochastic stability provides the selection of the physically relevant measures. That this might also apply to systems defined by partial differential equations, both dissipative and conservative, is the inspiration for this work. As an example, the 2D Euler equation is studied. Among other results this study suggests that the coherent structures observed in 2D hydrodynamics are associated with configurations that maximize stochastically stable measures uniquely determined by the boundary conditions in dynamical space.

Exotic vortex wakes—point vortex solutions

2006 ◽  
Vol 22 (6-7) ◽  
pp. 929-940 ◽  
Author(s):  
H. Aref ◽  
M.A. Stremler ◽  
F.L. Ponta
Keyword(s):  
Point Vortex ◽  
Vortex Solutions
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