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  1. Support growth of vorticity for bi-rotational Euler flows in high dimensions
    2025/10/21 by Jeong, In-Jee, Lim, Deokwoo · 1 citation
    #35Q35 #76B47 #Analysis of PDEs (math.AP) #FOS: Mathematics
  2. An Expanding Self-Similar Vortex Configuration for the 2D Euler Equations
    2024/10/23 by Dávila, Juan, del Pino, Manuel, Musso, Monica +1 · 1 citation
    #35Q35 #76B47 #Analysis of PDEs (math.AP) #FOS: Mathematics
  3. Zeitlin's model for axisymmetric 3-D Euler equations
    2024/08/20 by Modin, Klas, Preston, Stephen C. · 3 citations
    #35Q31 #53D25 #53D50 #76B47 #76M60 #Differential Geometry (math.DG) #FOS: Mathematics #FOS: Physical sciences #Mathematical Physics (math-ph) #Numerical Analysis (math.NA)
  4. Two-dimensional fluids via matrix hydrodynamics
    2024/05/23 by Klas Modin, Modin, Klas, Milo Viviani +1 · 3 citations
    Chemical Engineering · Engineering · Physics and Astronomy · #35Q31 #53D25 #53D50 #76B47 #76M60 #Analysis of PDEs (math.AP) #Differential Geometry (math.DG) #FOS: Mathematics #FOS: Physical sciences #Lattice Boltzmann Simulation Studies #Mathematical Physics (math-ph) #Micro and Nano Robotics #Rheology and Fluid Dynamics Studies
  5. Global regularity of some axisymmetric, single-signed vorticity in any dimension
    2023/04/24 by Lim, Deokwoo · 2 citations
    #35Q35 #76B47 #Analysis of PDEs (math.AP) #FOS: Mathematics
  6. Construction of unstable concentrated solutions of the Euler and gSQG equations
    2023/03/26 by Martin Donati, Donati, Martin · 1 citation
    Earth and Planetary Sciences · Physics and Astronomy · #34A34 #76B47 #Analysis of PDEs (math.AP) #Dynamical Systems (math.DS) #FOS: Mathematics #Nonlinear Waves and Solitons #Ocean Waves and Remote Sensing
  7. Existence and Regularity for Vortex Patch Solutions of the 2D Euler Equations
    2022/11/15 by Radu, Razvan-Octavian · 1 citation
    #2010 Mathematics Subject Classification. 35Q31 #35Q35 #76B47 #Analysis of PDEs (math.AP) #FOS: Mathematics
  8. On the regularity of axisymmetric, swirl-free solutions of the Euler equation in four and higher dimensions
    2022/04/28 by Miller, Evan, Tsai, Tai-Peng · 2 citations
    #35Q31 #76B03 #76B47 #Analysis of PDEs (math.AP) #FOS: Mathematics
  9. Infinite growth in vorticity gradient of compactly supported planar vorticity near Lamb dipole
    2021/08/04 by Choi, Kyudong, Jeong, In-Jee · 2 citations
    #35Q31 #76B47 #Analysis of PDEs (math.AP) #FOS: Mathematics #FOS: Physical sciences #Mathematical Physics (math-ph)
  10. Filamentation near Hill's vortex
    2021/07/13 by Choi, Kyudong, Jeong, In-Jee · 3 citations
    #35Q31 #76B47 #Analysis of PDEs (math.AP) #FOS: Mathematics #FOS: Physical sciences #Mathematical Physics (math-ph)
  11. Stability of radially symmetric, monotone vorticities of 2D Euler equations
    2021/03/22 by Kyudong Choi, Deokwoo Lim, Choi, Kyudong +1 · 2 citations
    Economics, Econometrics and Finance · Mathematics · #35Q35 #76B47 #Analysis of PDEs (math.AP) #FOS: Mathematics #FOS: Physical sciences #Mathematical Physics (math-ph) #Navier-Stokes equation solutions #Stochastic processes and financial applications
  12. Stability of Hill's spherical vortex
    2020/11/13 by Choi, Kyudong · 1 citation
    #35Q31 #76B47 #Analysis of PDEs (math.AP) #FOS: Mathematics #FOS: Physical sciences #Mathematical Physics (math-ph)
  13. On concentration in vortex sheets
    2020/04/03 by Lanthaler, Samuel · 1 citation
    #35B65 #35Q31 #65M12 #76B47 #76M25 #Analysis of PDEs (math.AP) #FOS: Mathematics #Numerical Analysis (math.NA)
  14. Stability of Vortices in Ideal Fluids : the Legacy of Kelvin and Rayleigh
    2019/01/09 by Gallay, Thierry · 2 citations
    #35B35 #35Q31 #76B47 #76E07 #Analysis of PDEs (math.AP) #FOS: Mathematics
  15. Global existence of a weak solution of the incompressible Euler equations with helical symmetry and Lp vorticity
    2013/09/01 by Bronzi, Anne C., Filho, Milton C. Lopes, Lopes, Helena J. Nussenzveig · 1 citation
    #35Q31 #76B47 #Analysis of PDEs (math.AP) #FOS: Mathematics
  16. On the existence of steady periodic capillary-gravity stratified water\n waves
    2013/05/24 by David Henry, Bogdan–Vasile Matioc, Henry, David +1 · 1 citation
    Earth and Planetary Sciences · Mathematics · #35Q35 #76B47 #76B70 #Analysis of PDEs (math.AP) #Arctic and Antarctic ice dynamics #FOS: Mathematics #Navier-Stokes equation solutions #Ocean Waves and Remote Sensing
  17. Flows of vector fields with point singularities and the vortex-wave system
    2013/02/06 by Crippa, Gianluca, Filho, Milton C. Lopes, Miot, Evelyne +1 · 1 citation
    #35A01 #35D30 #35Q31 #35Q35 #76B47 #Analysis of PDEs (math.AP) #FOS: Mathematics
  18. The sharp corner formation in 2d Euler dynamics of patches: infinite double exponential rate of merging
    2012/01/11 by Denisov, Sergey A. · 1 citation
    #76B03 #76B47 #Analysis of PDEs (math.AP) #FOS: Mathematics #FOS: Physical sciences #Fluid Dynamics (physics.flu-dyn) #Mathematical Physics (math-ph)
  19. Stability in L1 of circular vortex patches
    2009/09/22 by Thomas C. Sideris, Sideris, Thomas C., Luis Vega +1 · 1 citation
    Mathematics · #35Q35 #76B47 #Analysis of PDEs (math.AP) #FOS: Mathematics #Geometric Analysis and Curvature Flows #Navier-Stokes equation solutions
  20. Vortices on closed surfaces
    2008/02/29 by Stefanella Boatto, Jair Koiller, Boatto, Stefanella +1 · 1 citation
    Engineering · #31C12 #37J05 #76B47 #FOS: Mathematics #FOS: Physical sciences #Fluid Dynamics and Turbulent Flows #Mathematical Physics (math-ph) #Symplectic Geometry (math.SG)