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.
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 the Euclidean space and in non-trivial geometries such as quantum graphs, open guiding structures, and domains with obstacles. My work combines rigorous analysis of dissipative 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 complete CV: here
Download my PhD dissertation
Here are links to my Google Scholar and Arxiv