On the well-posedness of the unsteady velocity-vorticity-helicity formulation of the Navier–Stokes equations
Abstract
In this paper, we study the three-dimensional velocity–vorticity–helicity (VVH) formulation modeling the flow of incompressible Newtonian fluids. We present an analysis of the formulation that encompasses the existence and regularity of solutions, providing a rigorous functional framework in which the VVH formulation is shown to be equivalent to the more traditional velocity–pressure formulation.
Fields of Study & Subjects
Computational Fluid Dynamics and Aerodynamics
Aquatic and Environmental Studies
Methane Hydrates and Related Phenomena
Publication details
- Journal / source
- Journal of Mathematical Analysis and Applications
- Volume
- 559
- Issue
- 1
- Pages
- 130421–130421
- Publication date
- 14 January 2026
- Language
- EN