Francisco Mengual

activity

20182026

most citedH-principle for the 2D incompressible porous media equation with viscosity jump

8 citations · 14 across the 9 of their papers we have counts for

collaborators

Showing 2024Show all

2 papers · 1 filter

math.AP2024★ 5 cited

A proof of Vishik's nonuniqueness Theorem for the forced 2D Euler equation

Ángel Castro, Daniel Faraco, Francisco Mengual +1

We give a simpler proof of Vishik's nonuniqueness Theorem for the forced 2D Euler equation in the vorticity class $L^{1} \cap L^{p}$ with $2 < p < \infty$ . The main simplification is an alt…

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^-}…