Francisco Mengual

activity

20232025

most citedNon-uniqueness of admissible solutions for the 2D Euler equation with

L^{p}

vortex data

1 citations · 1 across the 3 of their papers we have counts for

collaborators

2 papers

math.AP2024

Dissipative Euler flows originating from circular vortex filaments

Francisco Gancedo, Antonio Hidalgo-Torné, Francisco Mengual

In this paper, we prove the first existence result of weak solutions to the 3D Euler equation with initial vorticity concentrated in a circle and velocity field in $C([0,T],L^{2^-}…

math.AP2023★ 1 cited

Non-uniqueness of admissible solutions for the 2D Euler equation with $L^{p}$ vortex data

Francisco Mengual

For any $2 < p < \infty$ we prove that there exists an initial velocity field $v^{\circ} \in L^{2}$ with vorticity $ω^{\circ} \in L^{1} \cap L^{p}$ for which there are infinitely many bounded admis…

Dissipative Euler flows originating from circular vortex filaments

Non-uniqueness of admissible solutions for the 2D Euler equation with Lp vortex data

Non-uniqueness of admissible solutions for the 2D Euler equation with $L^{p}$ vortex data