Emanuele Haus
web page



email: emanuele.haus@unina.it



UniversitÓ degli Studi di Napoli Federico II
Dipartimento di Matematica e Applicazioni "Renato Caccioppoli"
Via Cintia, Monte S. Angelo, 80126 Napoli (NA), Italy

Office n░ 153, sixth floor, telephone: (+39) 081675847





Didattica (Teaching; in Italian)

My CV

Present position

RTD-A (3 years researcher position) at
UniversitÓ degli Studi di Napoli "Federico II" since December 2016



Previous positions

• Research collaborator ("co.co.co.") at UniversitÓ degli Studi 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 UniversitÓ degli Studi di Napoli "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 Sapienza - UniversitÓ di Roma, March 2013-July 2014
  within the ERC project HamPDEs (Hamiltonian PDEs and small divisor problems: a dynamical systems approach)

• Postdoc at "Laboratoire de MathÚmatiques Jean Leray" (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

 
Thesis: "Asymptotic behavior of an elastic satellite with internal friction: asymptotic stability vs collision or expulsion"
             (advisor: prof. Dario Bambusi)



Publications and preprints

• P. Baldi, M. Berti, E. Haus and R. Montalto, Time quasi-periodic gravity water waves in finite depth,
 
preprint 2017 https://arxiv.org/abs/1708.01517
• P. Baldi, M. Berti, E. Haus and R. Montalto, KAM for gravity water waves in finite depth,
  to appear in
Rendiconti Lincei Matematica e Applicazioni 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
• 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-H÷rmander 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, Networks self-similarly moving by curvature with two triple junctions,
 
Rendiconti Lincei Matematica e Applicazioni, 28, 323-338, 2017 pdf
• P. Baldi, E. Haus and C. Mantegazza, Non-existence of theta-shaped self-similarly shrinking networks moving by curvature,
 
to appear in Communications in Partial Differential Equations 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 Schr÷dinger 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
  - control theory
• 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