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math.AP2021
On the existence of weak solutions for the 2D incompressible Euler equations with in-out flow and source and sink points
Marco Bravin
Well-posedness for the two dimensional Euler system with given initial vorticity is known since the works of Judovič. In this paper we show existence of solutions in the case where…
math.AP2021
On the one dimensional cubic NLS in a critical space
Marco Bravin, Luis Vega
In this note we study the initial value problem in a critical space for the one dimensional Schrödinger equation with a cubic non-linearity and under some smallness conditions. In…
math.AP2021
Existence of weak solutions to the two-dimensional incompressible Euler equations in the presence of sources and sinks
Marco Bravin, Franck Sueur
A classical model for sources and sinks in a two-dimensional perfect incompressible fluid occupying a bounded domain dates back to Yudovich in 1966. In this model, on the one hand,…