E. Haus

activity

20102026

most citedTime quasi-periodic gravity water waves in finite depth

154 citations · 324 across the 22 of their papers we have counts for

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20 papers · 1 filter

math.AP2026

Controllability for 2D water waves: effects of bottom topography and constant vorticity

E. Haus, S. Pasquali

In this paper we consider two-dimensional water waves, under the action of gravity and surface tension. We prove a controllability result for irrotational waves in a fluid domain w…

math.AP2026

Quasilinear normal form for the Kirchhoff-Poho{\v z}aev equation

Emanuele Haus, Simone Marrocco

On the $n$ -dimensional torus $T^{n}$ , we consider the Kirchhoff-Poho{\v z}aev equation, which is the only Kirchhoff-type equation known to admit global solutions for small i…

math.AP2023

Effective chaos for the Kirchhoff equation on tori

Pietro Baldi, Filippo Giuliani, Marcel Guardia +1

We consider the Kirchhoff equation on tori of any dimension and we construct solutions whose Sobolev norms oscillates in a chaotic way on certain long time scales. The chaoticity i…

math.AP2022★ 1 cited

Reducibility and nonlinear stability for a quasi-periodically forced NLS

Emanuele Haus, Beatrice Langella, Alberto Maspero +1

Motivated by the problem of long time stability vs. instability of KAM tori of the Nonlinear cubic Schrödinger equation (NLS) on the two dimensional torus $\mathbb T^2:= (\mathbb R…

math.AP2020★ 55 cited

Longer lifespan for many solutions of the Kirchhoff equation

Pietro Baldi, Emanuele Haus

We consider the Kirchhoff equation $\partial_{tt} u - Δ u (1 + \int_{T^{d}} ∣\nabla u ∣^{2}) = 0$ on the $d$ -dimensional torus $T^{d}$ , and its Cauchy problem…

math.AP2020

On the normal form of the Kirchhoff equation

Pietro Baldi, Emanuele Haus

Consider the Kirchhoff equation $\partial_{tt} u - Δ u (1 + \int_{T^{d}} ∣\nabla u ∣^{2}) = 0$ on the $d$ -dimensional torus $T^{d}$ . In a previous paper we…