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Faculty

  • Dmitry Vorotnikov

    mitvorot@mat.uc.pt

  • Research Area

    Partial differential equations

  • Institution

    University of Coimbra

  • PhD

    Institution: Voronezh State University
    Year: 2004

  • Main research publications

    • On the bulk velocity of Brownian ratchets (with S. Kondratyev and J.M. Urbano) , SIAM J. Math. Anal. 48 (2016)
    • A fitness-driven cross-diffusion system from polulation dynamics as a gradient flow (with S. Kondratyev and L. Monsaingeon) , J. Differential Equations 261 (2016)
    • A new optimal transport distance on the space of finite Radon measures (with S. Kondratyev and L. Monsaingeon) , Adv. Differential Equations - (2016)
    • Asymptotic behaviour of the non-autonomous 3D Navier-Stokes problem with coercive force , J. Differential Equations 251 (2011)
    • Topological approximation methods for evolutionary problems of nonlinear hydrodynamics (with Victor Zvyagin) , de Gruyter Series in Nonlinear Analysis and Applications 12 , Walter de Gruyter & Co., Berlin, 2008
      ISBN: 978-3-11-020222
  • Adittional information

    My interests revolve around partial differential equations, nonlinear analysis and optimal transport, and around their applications
    to fluid dynamics, mathematical biology, image processing, inextensible strings and surfaces and several other areas.

Research and Events

Events

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Defended Theses

  • Some aspects of descent theory and applications
      Rui Rodrigues de Abreu Fernandes Prezado (January 2024)
      Maria Manuel Clementino
      Fernando Lucatelli Nunes
  • Comparability between different systems: star-shaped and convex transform orders
      Beatriz Ferreira Santos (December 2023)
      Paulo Eduardo Oliveira
      Idir Arab
  • On Lax Idempotent Monads in Topology
      Carlos Miguel Alves Fitas (December 2023)
      Maria Manuel Clementino
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