A few representation formulas for solutions of fractional Laplace equations
This paper is devoted to the Laplacian operator of fractional order $ s\in (0, 1) $ in several
dimensions. We first establish a representation formula for the partial derivatives of the …
dimensions. We first establish a representation formula for the partial derivatives of the …
Long-time Confinement near Special Vortex Crystals
M Donati - arXiv preprint arXiv:2410.14221, 2024 - arxiv.org
In this paper, we control the growth of the support of particular solutions to the Euler two-
dimensional equations, whose vorticity is concentrated near special vortex crystals. These …
dimensional equations, whose vorticity is concentrated near special vortex crystals. These …