Work

On the onset of filamentation on two-dimensional vorticity interfaces

Year: 2025

Type: article

Abstract: We study an asymptotic nonlinear model for filamention on two-dimensional vorticity interfaces. Different re-formulations of the model equation reveal its underlying structural properties. They enable us to construct global weak solutions and to prove the existence of traveling waves.

Source: Nonlinearity

DOI: 10.1088/1361-6544/adf16b

Authors: Adrian Constantin, David Dritschel, Pierre Germain

Institutions: University of Vienna, University of St Andrews, Imperial College London

Language: English

Topic: Navier-Stokes equation solutions

Subfield: Applied Mathematics

Field: Mathematics

Domain: Physical Sciences

Open Access status: hybrid

Estimated APC paid: $3,325

Funders: Royal Society, Austrian Science Fund