We are pleased to announce that Professor Yurij Tomiłov has been awarded an NCN grant for a research project under the Opus 25 competition. Additionally, thanks to the collaboration between NCN and NAWA with US NSF, he has secured funding for the first project in Poland under the IMPRESS-U Initiative.
The proposal titled "Functional Calculi for Semigroup Generators and Related Problems", submitted to NCN as part of the Opus 25 competition, has been approved for funding in the amount of PLN 433,700. The research project included in the proposal will be conducted at IM PAN from 01.01.2024 to 31.12.2026 by a team led by Prof. Y. Tomiłov (IM PAN) and three other contributors.
The goal of the project is to develop the theory of bounded functional calculi for semigroup generators and its applications. Through the developed theory, techniques, and tools, the project aims to solve a number of open problems in the theory of partial differential equations, harmonic analysis, and complex analysis.
The international project "Spectral and Geometric Methods for Damped Wave Equations with Applications to Fiber Lasers" (project coordinator: Prof. Y. Tomiłov) has secured funding of PLN 596,880 under the "International Multilateral Partnerships for Resilient Education and Science System in Ukraine IMPRESS-U" Initiative, carried out by NSF (US National Science Foundation) in partnership with NAWA and NCN (Poland), LCS (Lithuania), RCL (Latvia), ETAG (Estonia), NRFU (Ukraine), and NASEM (USA) with the support of private donors and foundations.
This is the first project in Poland to receive funding under this Initiative.
The aim of the initiative is to build excellence in scientific and applied research, education, and innovation through scientific collaboration and the integration of Ukrainian scientists into the global scientific community. As part of the Initiative, NSF organizes and conducts a competition for projects that address scientific challenges in any field of science, conducted by American scientists in collaboration with scientists from Ukraine and at least one of the partner countries mentioned above.
The project involves teams from the USA (2 people), Poland (4 people from IM PAN, UMK, and UAM), and Ukraine (4 people), and will be coordinated by IM PAN and conducted from 01.02.2024 to 30.01.2026.
The above funds are intended to support the Polish team, while the activities of the teams from the USA and Ukraine will be financed separately. The project aims to investigate the spectral and asymptotic properties of perturbed wave equations on manifolds and metric graphs and to apply these properties to the modeling of fiber lasers. Additionally, the project seeks to complement the research of the US team under NSF grant DMS-2106203 "Collaborative Research: Stability and Instability of Periodically Stationary Nonlinear Waves with Applications to Fiber Lasers," which focuses on the stability of soliton-like and periodically stationary solutions of the Ginzburg-Landau equations for fiber lasers.