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Welcome to my homepage!
I'm a Professor at Gran Sasso Science Institute and Chair of the Ph.D. programme in Mathematics in Natural, Social and Life Sciences
My research interests lie in the field of applied PDEs. In particular, I'm interested in nonlinear Schrödinger type equations and compressible fluid dynamics. Usually, my mathematical interest is driven by applying such models to the description of quantum fluids. The main problems I try to address are related to the qualitative and quantitative analysis of (weak) solutions.
My personal page at GSSI
Orcid profile
Google Scholar profile
My page on The Mathematics Genealogy Project
Contacts:
Office phone: +39 0862 4280 252
e-mail address: paolo [dot] antonelli [at] gssi [dot] it
Current students
Luis Eduardo Ibañez Perez (co-advised with Yoshihiro Ueda)
Niccolò Geracitano (co-advised with Francesco Viola)
Past students
Boris Shakarov (Jun 2019 - Jun 2023), now Postdoc in Toulouse. Ph.D. thesis title: "Stability of coherent structures in dissipative variants of nonlinear Schrödinger-type equations".
Hao Zheng (Nov 2015 - Oct 2019), co-supervised with Pierangelo Marcati, Ph.D. thesis title "A genuine hydrodynamic approach to QHD: existence, dispersion and stability". Now Assistant Professor at the Chinese Academy of Sciences, Beijing.
Lars Eric Hientzsch (Nov 2015 - Oct 2019), co-supervised with Pierangelo Marcati, Ph.D. thesis title "Nonlinear Schrödinger equations and quantum fluids non-vanishing at infinity: incompressible limit and quantum vortices". Now at Karlsruhe Institute of Technology.
Michele D'Amico (Nov 2013 - Sep 2017), co-supervised with Pierangelo Marcati, Ph.D. thesis title "Fundamental solutions and smoothness in Schrödinger problems with applications to quantum fluids". Now working for a private company.
Luigi Forcella (Nov 2013 - Jul 2014), Master thesis at the University of L'Aquila (co-supervised with Pierangelo Marcati), thesis title: "On the Zhakarov system". Now Assistant Professor (tenure-track) at the University of Pisa
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