The early stage of the motion along the gradient of a concentrated vortex structure
Abstract
We give a rigorous mathematical result, supported by numerical simulations, of the aggregation of a concentrated vortex blob with an underlying non-constant vorticity field: the blob moves in the direction of the gradient of the field. It is a unique example of a Lagrangian explanation of aggregation of vortex structures of the same sign in 2D inviscid fluids. The result is also extended to almost vertical vortex filaments in a (possibly thin) three-dimensional domain.
Fields of Study & Subjects
Fluid dynamics and aerodynamics studies
Fluid Dynamics and Thin Films
Lattice Boltzmann Simulation Studies
Publication details
- Journal / source
- Physica D Nonlinear Phenomena
- Volume
- 495
- Pages
- 135289–135289
- Publication date
- 4 June 2026
- Language
- EN