Global regularity for a Birkhoff–Rott- approximation of the dynamics of vortex sheets of the 2D Euler equations

Claude Bardos; Jasmine S. Linshiz; Edriss S. Titi

doi:10.1016/j.physd.2008.01.003

Global regularity for a Birkhoff–Rott- approximation of the dynamics of vortex sheets of the 2D Euler equations

Physica D Nonlinear Phenomena ◽

10.1016/j.physd.2008.01.003 ◽

2008 ◽

Vol 237 (14-17) ◽

pp. 1905-1911 ◽

Cited By ~ 8

Author(s):

Claude Bardos ◽

Jasmine S. Linshiz ◽

Edriss S. Titi

Keyword(s):

Euler Equations ◽

Global Regularity ◽

Vortex Sheets ◽

2D Euler Equations

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Global regularity and convergence of a Birkhoff-Rott-α approximation of the dynamics of vortex sheets of the two-dimensional Euler equations

Communications on Pure and Applied Mathematics ◽

10.1002/cpa.20305 ◽

2010 ◽

Vol 63 (6) ◽

pp. 697-746 ◽

Cited By ~ 11

Author(s):

Claude Bardos ◽

Edriss S. Titi ◽

Jasmine S. Linshiz

Keyword(s):

Euler Equations ◽

Global Regularity ◽

Two Dimensional ◽

Vortex Sheets

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The Existence of Weak Solutions to the 2D Euler Equations with Initial Vorticity in BMO

Acta Mathematica Sinica English Series ◽

10.1007/s10114-007-0937-5 ◽

2007 ◽

Vol 23 (10) ◽

pp. 1881-1888 ◽

Cited By ~ 1

Author(s):

Xiang Rong Zhu

Keyword(s):

Euler Equations ◽

Weak Solutions ◽

Existence Of Weak Solutions ◽

Initial Vorticity ◽

2D Euler Equations

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Symmetry techniques for the numerical solution of the 2D Euler equations at impermeable boundaries

International Journal for Numerical Methods in Fluids ◽

10.1002/(sici)1097-0363(19981115)28:7<1093::aid-fld763>3.0.co;2-k ◽

1998 ◽

Vol 28 (7) ◽

pp. 1093-1108 ◽

Cited By ~ 4

Author(s):

Andrea Dadone

Keyword(s):

Numerical Solution ◽

Euler Equations ◽

2D Euler Equations

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Solutions to the 2D Euler equations with velocity unbounded at infinity

Journal of Mathematical Analysis and Applications ◽

10.1016/j.jmaa.2014.09.053 ◽

2015 ◽

Vol 423 (1) ◽

pp. 144-161 ◽

Cited By ~ 1

Author(s):

Elaine Cozzi

Keyword(s):

Euler Equations ◽

2D Euler Equations

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Two-dimensional vortex sheets for the nonisentropic Euler equations: Nonlinear stability

Journal of Differential Equations ◽

10.1016/j.jde.2018.10.029 ◽

2019 ◽

Vol 266 (9) ◽

pp. 5397-5430 ◽

Cited By ~ 3

Author(s):

Alessandro Morando ◽

Paola Trebeschi ◽

Tao Wang

Keyword(s):

Euler Equations ◽

Nonlinear Stability ◽

Two Dimensional ◽

Vortex Sheets

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Trajectory attractors for non-autonomous dissipative 2d Euler equations

Discrete & Continuous Dynamical Systems - B ◽

10.3934/dcdsb.2015.20.811 ◽

2015 ◽

Vol 20 (3) ◽

pp. 811-832 ◽

Cited By ~ 2

Author(s):

Vladimir V. Chepyzhov ◽

Keyword(s):

Euler Equations ◽

2D Euler Equations ◽

Trajectory Attractors

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Solving 2D Euler equations on a multi-processor network

Massively Parallel Processing Applications and Development ◽

10.1016/b978-0-444-81784-6.50093-2 ◽

1994 ◽

pp. 769-776

Author(s):

Frank Dzaak

Keyword(s):

Euler Equations ◽

2D Euler Equations

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A Central Limit Theorem for Gibbsian Invariant Measures of 2D Euler Equations

Communications in Mathematical Physics ◽

10.1007/s00220-020-03724-1 ◽

2020 ◽

Vol 376 (3) ◽

pp. 2197-2228 ◽

Cited By ~ 2

Author(s):

Francesco Grotto ◽

Marco Romito

Keyword(s):

Central Limit Theorem ◽

Limit Theorem ◽

Euler Equations ◽

Central Limit ◽

Invariant Measures ◽

2D Euler Equations

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Vortex Axisymmetrization, Inviscid Damping, and Vorticity Depletion in the Linearized 2D Euler Equations

Annals of PDE ◽

10.1007/s40818-019-0061-8 ◽

2019 ◽

Vol 5 (1) ◽

Cited By ~ 3

Author(s):

Jacob Bedrossian ◽

Michele Coti Zelati ◽

Vlad Vicol

Keyword(s):

Euler Equations ◽

2D Euler Equations

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Adaptive multigrid solution of the 2D-Euler equations on an unstructured grid

Acta Mechanica ◽

10.1007/bf01181827 ◽

2000 ◽

Vol 144 (1-2) ◽

pp. 43-56 ◽

Cited By ~ 2

Author(s):

Z. Q. Zhu ◽

P. Wang ◽

X. B. Lu

Keyword(s):

Euler Equations ◽

Unstructured Grid ◽

2D Euler Equations

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