3 papers
math.AP2026
Self-Similar Solutions of the Two-Dimensional Incompressible Euler Equation from Large Initial Data
Hyungjun Choi
Let and let be a , divergence-free, -homogeneous vector field on . We construct a forward-in-time self-similar solution of the…
math.AP2026
Multi-Sink Solutions to the Self-Similar Euler Equations
Hyungjun Choi, Matei P. Coiculescu
We construct examples and provide a classification of self-similar solutions to the two-dimensional incompressible Euler equations whose pseudo-velocity fields possess more than on…
math.AP2025
Asymmetric Self-similar Spiral Solutions of 2-D Incomressible Euler Equations
Hyungjun Choi
We construct nonradial, self-similar solutions to the two-dimensional incompressible Euler equations without assuming rotational symmetry. These solutions extend the study of self-…