Marius Tucsnak

Visiting Professor of Mathematics

Email: mt5417@nyu.edu

Marius Tucsnak is Professor of Mathematics of the University of Bordeaux in France and presently visiting professor at NYU Shanghai. He holds a Master degree in mathematics from the University of Bucarest, Romania and a Ph.D. degree from the University of Orléans, France (1992). In 1995 he obtained his Habilitation pour Diriger les Recherches from the “Université Pierre et Marie Curie”, Paris. In 1992 he became Associate Professor of Mathematics at the University of Versailles, France. In 1997 he became full professor of mathematics at the University of Nancy, France. He moved to University of Bordeaux in 2015. He was an invited speaker to the International Congress of Mathematicians (ICM), 2022, and since 2013 he is a Member of Institut Universitaire de France (IUF). His fields of expertise are the analysis and the control of systems governed by partial differential equations.

Marius Tucsnak's current interests are the analysis and the control of infinite dimensional systems, in particular those modelling fluid-structure interactions. His work on control theory includes issues like reachability and controllability, and it achieved developing new tools of mathematical analysis (like Ingham-Beurling type inequalities or new connections with analytic functions theory). His main results on fluid-structure interactions concern the motion of rigids or fish-like swimmers in a viscous fluid and they are at the origin of several new directions in this emerging field.  

Publications

  • S. Ervedoza, D. Maity and M. Tucsnak, Large time behaviour for the motion of a solid in a viscous incompressible fluid, Mathematische Annalen 385 (2023), 631-691.
  • A. Hartmann, K. Kellay and M. Tucsnak, From the reachable space of the heat equation to Hilbert spaces of holomorphic functions, Journal of the European Mathematical Society (JEMS) 22 (2020), 3417-3440.
  • D. Maity, M Tucsnak and E. Zuazua, Controllability and positivity constraints in population dynamics with age structuring and diffusion, Journal de Mathématiques Pures et Appliquées 129 (2019), 153-179.
  • M. Tucsnak and G. Weiss, Observation and Control for Operator Semigroups, 494 pages, Birkhäuser, Basel-Boston-Berlin, 2009.
  • J. San Martin, V. Starovoitov and M. Tucsnak, Global weak solutions for the two dimensional motion of several rigid bodies in an incompressible viscous fluid, Archive for Rational Mechanics and Analysis, 161 (2002), 113-147.

Education

  • Habilitation,
    University of Paris VI

  • PhD,
    University of Orléans, France

  • MS, Mathematics
    University of Bucharest, Romania