Vorticity blow-up for the 2D incompressible non-homogeneous Euler equations with uniform $C^{1,\sqrt{\frac{4}{3}}-1-\varepsilon}$ force
math.AP2026-05v1license
Abstract
We establish the existence of solutions of the 2D incompressible non-homogeneous Euler equations with source terms that develop a singularity in finite time. In order to achieve this, we adapt the Boussinesq blow-up we set up in arXiv:2505.20988 to the non-homogeneous Euler setting. Furthermore, we bring the potential existence of two different types of singularities of the forced system to light.
Comments: 49 pages
Cite
@article{arxiv.2605.29866,
title = {Vorticity blow-up for the 2D incompressible non-homogeneous Euler equations with uniform $C^{1,\sqrt{\frac{4}{3}}-1-\varepsilon}$ force},
author = {Diego Córdoba and Andrés Laín-Sanclemente and Luis Martínez-Zoroa},
journal= {arXiv preprint arXiv:2605.29866},
year = {2026}
}