Martina Zizza

most citedOn incompressible flows in discrete networks and Shnirelman's inequality

1 citations · 1 across the 2 of their papers we have counts for

collaborators

3 papers

math.AP2026

On Shnirelman's inequality in 2D: Irreversible behavior and Euler-Lagrange variational formulation

Stefan Schiffer, Martina Zizza

In this paper we prove a version of Shnirelman's inequality in the two-dimensional square $[0, 1]^{2}$ . More precisely, given a target fluid configuration $f$ (a volume-preserving dif…

math.AP2024★ 1 cited

On incompressible flows in discrete networks and Shnirelman's inequality

Stefan Schiffer, Martina Zizza

Let $f$ and $g$ be two volume-preserving diffeomorphisms on the cube $Q = [0, 1]^{ν}$ , $ν \geq 3$ . We show that there is a divergence-free vector field $v \in L^{1} ((0, 1); L^{p} (Q))$ such tha…

math.AP2024

An alternative approach to Shnirelman's inequality

Martina Zizza

In this paper we examine the discrete Shnirelman's inequality [Shnirelman A., 1985], which relates the $L^{2}$ -distance of two discrete configurations of a fluid to the $L_{t}^{1} L_{x}^{2}$ -…