Support growth of vorticity for bi-rotational Euler flows in high dimensions
Abstract
We study incompressible Euler equations in \mathbb{R}^{d} with d \ge 4 under bi-rotational symmetry without swirl, which reduces the Euler equations to a scalar vorticity advection in the first quadrant. We show that patch-type initial vorticities exhibit infinite growth of the support diameter.
Fields of Study & Subjects
Navier-Stokes equation solutions
Ocean Waves and Remote Sensing
Fluid Dynamics and Turbulent Flows
Publication details
- Journal / source
- Revista Matemática Iberoamericana
- Publication date
- 9 July 2026