Boris Shakarov
Post Doc in Mathematics
Post Doc in Mathematics
Office: Paul Sabatier Univ. 1R3 building, room 212
Phone: (33) 65198-5679
Email: boris.shakarov at math.univ-toulouse fr
I am currently a post-doctoral researcher in partial differential equations under the supervision of Stefan Le Coz at the University of Toulouse.
Previously, I was a Ph.D student at the Gran Sasso Science Institute in Italy, under the supervision of Paolo Antonelli.
My research focuses on the mathematical analysis of nonlinear dispersive and dissipative partial differential equations, with a particular emphasis on the nonlinear Schrödinger equation (NLS) and its dissipative, variational, and geometrically constrained formulations. I investigate the asymptotic behavior of solutions, stability, and dynamics of solitary waves, and scattering phenomena, both in Euclidean spaces and in other non-trivial geometries such as quantum graphs, open guiding structures, and domains with obstacles and geometrical trapping. My work combines analysis of dynamics, including blow-up phenomena and soliton tracking, with variational and bifurcation methods to study the existence, multiplicity, and stability of stationary states.
Download my documents: [📄 Complete CV] | [🎓 PhD Dissertation]
My research profiles: ZbMath | Google Scholar | arXiv