Emanuele Haus web page |

Associate Professor of Mathematical Analysis email: ehaus@mat.uniroma3.it |

University of Roma Tre Dipartimento di Matematica e Fisica Palazzina C - Largo S. Leonardo Murialdo Third floor, office n. 300 |

UPCOMING: Hamiltonian and Dispersive PDEs, Second School and Workshop, Rome, 15-19 May 2023

My CV

Didattica a Roma Tre (Teaching in Roma Tre; in Italian)

A.A. 2022/2023: Analisi Matematica 3 (AM210) per studenti di matematica - Analisi Matematica 2, mod. 1 per studenti di fisica

A.A. 2022/2023: Equazioni alle Derivate Parziali (AM420)

A.A. 2022/2023: Analisi Matematica 4 (AM220) per studenti di matematica - Analisi Matematica 2, mod. 2 per studenti di fisica

A.A. 2022/2023: Analisi Matematica 5 (AM300)

A.A. 2022/2023: Problemi di Piccoli Divisori (AM550)

A.A. 2021/2022: Analisi Matematica 3 (AM210) per studenti di matematica - Analisi Matematica 2, mod. 1 per studenti di fisica

A.A. 2021/2022: Spazi di Sobolev ed Equazioni alle Derivate Parziali (AM420)

A.A. 2020/2021: Analisi Matematica 2 (AM120) per studenti di matematica - Analisi Matematica 1, mod. 2 per studenti di fisica

A.A. 2020/2021: Spazi di Sobolev ed Equazioni alle Derivate Parziali (AM420)

A.A. 2019/2020: Analisi Matematica 2 (AM120)

A.A. 2019/2020: Spazi di Sobolev ed Equazioni alle Derivate Parziali (AM420)

A.A. 2018/2019: Analisi Matematica 2 (AM120)

Previous positions

• RTD-B (tenure-track assistant professor) at the University of Roma Tre, February 2019-January 2022

• RTD-A (fixed-term assistant professor) at the University of Naples "Federico II", December 2016-January 2019

• Research collaborator ("co.co.co.") at the University of Roma Tre, November 2016-December 2016

within the ERC project HamPDEs (Hamiltonian PDEs and small divisor problems: a dynamical systems approach)

• "Assegnista di ricerca" (postdoc) at the University of Naples "Federico II", August 2014-July 2016

within the STAR project "Onde d'acqua, PDE e sistemi dinamici con piccoli divisori" ("Water waves, PDEs and dynamical systems with small divisors")

and the ERC project HamPDEs (Hamiltonian PDEs and small divisor problems: a dynamical systems approach)

• "Assegnista di ricerca" (postdoc) at the University of Rome - Sapienza, March 2013-July 2014

within the ERC project HamPDEs (Hamiltonian PDEs and small divisor problems: a dynamical systems approach)

• Postdoc at the University of Nantes, January 2012-December 2012

within the ANR project HANDDY (Hamiltonian and Dispersive equations: Dynamics)

Education

• Graduated in Mathematics and Applications at the University of Milan, October 2008

• PhD in Mathematics at the University of Milan, March 2012

Papers

• P. Baldi, F. Giuliani, M. Guardia and E. Haus, Effective chaos for the Kirchhoff equation on tori,

preprint 2023 pdf

• E. Haus, B. Langella, A. Maspero and M. Procesi, Reducibility and nonlinear stability for a quasi-periodically forced NLS,

to appear in Pure and Applied Mathematics Quarterly pdf

• P. Baldi and E. Haus, Normal form and dynamics of the Kirchhoff equation,

to appear in Bollettino dell'Unione Matematica Italiana pdf

• P. Baldi and E. Haus, Longer lifespan for many solutions of the Kirchhoff equation,

• P. Baldi and E. Haus, Size of data in implicit function problems and singular perturbations for nonlinear Schrödinger systems,

to appear in

• M. Guardia, Z. Hani, E. Haus, A. Maspero and M. Procesi, Strong nonlinear instability and growth of Sobolev norms near quasiperiodic finite-gap tori for the 2D cubic NLS equation,

to appear in Journal of the European Mathematical Society (JEMS) pdf

• P. Baldi and E. Haus, On the normal form of the Kirchhoff equation,

Journal of Dynamics and Differential Equations, special issue in honor of Walter Craig, 33(3), 1203-1230, 2021 pdf

• E. Haus and A. Maspero, Growth of Sobolev norms in time dependent semiclassical anharmonic oscillators,

Journal of Functional Analysis, 278 (2), Article 108316, 2020 pdf

• P. Baldi and E. Haus, On the existence time for the Kirchhoff equation with periodic boundary conditions,

Nonlinearity, 33(1), 196-223, 2020 pdf

• M. Guardia, Z. Hani, E. Haus, A. Maspero and M. Procesi, A note on growth of Sobolev norms near quasiperiodic finite-gap tori for the 2D cubic NLS equation,

Rendiconti Lincei Matematica e Applicazioni, 30(4), 865-880, 2019 pdf

• P. Baldi, E. Haus and C. Mantegazza, Existence of a lens-shaped cluster of surfaces self-shrinking by mean curvature,

Mathematische Annalen, 375(3), 1857-1881, 2019 pdf

• P. Baldi, M. Berti, E. Haus and R. Montalto, Time quasi-periodic gravity water waves in finite depth,

Inventiones Mathematicae, 214 (2), 739-911, 2018 pdf

• P. Baldi, M. Berti, E. Haus and R. Montalto, KAM for gravity water waves in finite depth,

Rendiconti Lincei Matematica e Applicazioni, 29 (2), 215-236, 2018 pdf

• P. Baldi, E. Haus and R. Montalto, Controllability of quasi-linear Hamiltonian NLS equations,

Journal of Differential Equations, 264 (3), 1786-1840, 2018 pdf

• P. Baldi, E. Haus and C. Mantegazza, Non-existence of theta-shaped self-similarly shrinking networks moving by curvature,

Communications in Partial Differential Equations, 43 (3), 403-427, 2018 pdf

• E. Haus and M. Procesi, KAM for beating solutions of the quintic NLS,

Communications in Mathematical Physics, 354 (3), 1101-1132, 2017 pdf

• P. Baldi and E. Haus, A Nash-Moser-Hörmander implicit function theorem with applications to control and Cauchy problems for PDEs,

Journal of Functional Analysis, 273 (12), 3875-3900, 2017 pdf

• P. Baldi, E. Haus and C. Mantegazza, On the classification of networks self-similarly moving by curvature,

Geometric Flows, 2, 125-137, 2017 pdf

• P. Baldi, E. Haus and C. Mantegazza, Networks self-similarly moving by curvature with two triple junctions,

Rendiconti Lincei Matematica e Applicazioni, 28, 323-338, 2017 pdf

• P. Baldi, G. Floridia and E. Haus, Exact controllability for quasi-linear perturbations of KdV,

Analysis and Partial Differential Equations, 10 (2), 281-322, 2017 pdf

• M. Guardia, E. Haus and M. Procesi, Growth of Sobolev norms for the analytic NLS on T^2,

Advances in Mathematics, 301 (1), 615-692, 2016 pdf

• E. Haus and M. Procesi, Growth of Sobolev norms for the quintic NLS on T^2,

Analysis and Partial Differential Equations, 8 (4), 883-922, 2015 pdf

• L. Corsi, E. Haus and M. Procesi, A KAM result on compact Lie groups,

Acta Applicandae Mathematicae, 137, 41-59, 2015 pdf

• E. Haus and D. Bambusi, Asymptotic behavior of an elastic satellite with internal friction,

Mathematical Physics, Analysis and Geometry, 18 (1), Art. 14, 2015 pdf

• E. Haus and L. Thomann, Dynamics on resonant clusters for the quintic non linear Schrödinger equation,

Dynamics of Partial Differential Equations, 10 (2), 157-169, 2013 pdf

• D. Bambusi and E. Haus, Asymptotic stability of synchronous orbits for a gravitating viscoelastic sphere,

Celestial Mechanics and Dynamical Astronomy, 114 (3), 255-277, 2012 pdf

Main research interests

• Dynamics of nonlinear Hamiltonian and dispersive PDEs:

- Birkhoff Normal form and KAM theory

- quasi-periodic solutions

- energy transfer between Fourier modes, beatings and growth of Sobolev norms

- dynamics of water waves

- Nash-Moser theorems

- control and Cauchy problems

• Planar networks moving by curvature:

- properties of self-shrinking networks

• Dynamics of a viscoelastic satellite in a gravitational field:

- orbital and asymptotic stability of spin-orbit resonances