Characterization of Three-Dimensional Euler Flows Supported on Finitely Many Fourier Modes
نویسندگان
چکیده
Recently, the Nash-style convex integration has been becoming main scheme for mathematical study of turbulence, and building block it either Beltrami flow (finite mode) or Mikado (compactly supported in physical side). On other hand, physics, is observed that turbulence composed a hierarchy scale-by-scale vortex stretching. Thus our motivation this to find another type blocks accompanied by stretching scale locality (possibly finitely many Fourier modes). In paper, we give complete list solutions 3D Euler equations with modes, which an extension corresponding 2D result Elgindi et al. (Comm Math Phys 355(1): 145–159, 2017). particular, show there are no flows except stationary 2D-like flows. We also discuss case when viscosity Coriolis effect present.
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ژورنال
عنوان ژورنال: Journal of Mathematical Fluid Mechanics
سال: 2022
ISSN: ['1422-6952', '1422-6928']
DOI: https://doi.org/10.1007/s00021-022-00703-5