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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

  • Topic Summation and Transformation formulas related with Spectral Functions
      Pedro Manuel Macedo Ribeiro (January 2025)
      Semyon Yakubovich
  • Numerical methods for the robust reconstruction of elasticity
      Rafael Oliveira Henriques (January 2025)
      Sílvia Barbeiro
  •   Vincenzo Bianca (July 2024)
      José Miguel Urbano
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