Susana Gutierrez
Current Organizations / Institutes
The organizations/institutes from the scholar's latest article
Research Subjects
Susana Gutierrez has a total of 1 co-authors. Here are the top co-authors by number of shared publications:
- Luis Vega
Departamento de Matemáticas, Universidad del País Vasco, Bilbao, Spain
1 shared publication
Latest Publications
- Open Access
Self-binormal solutions of the Localized Induction Approximation: Singularity formation
We investigate the formation of singularities in a self-similar form of regular solutions of the Localized Induction Approximation (also referred as to the binormal flow). This equation appears as an approximation model for the self-induced motion of a vortex filament in an inviscid incompressible fluid. The solutions behave as 3d-logarithmic spirals at infinity. The proofs of the results are strongly based on the existing connection between the binormal flow and certain Schr\"odinger equations.
Open AccessSelf-binormal solutions of the Localized Induction Approximation: Singularity formation
We investigate the formation of singularities in a self-similar form of regular solutions of the Localized Induction Approximation (also referred as to the binormal flow). This equation appears as an approximation model for the self-induced motion of a vortex filament in an inviscid incompressible fluid. The solutions behave as 3d-logarithmic spirals at infinity. The proofs of the results are strongly based on the existing connection between the binormal flow and certain Schr\"odinger equations.