• Dmitry Vorotnikov

  • 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


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Defended Theses

  • Structure, algorithmics and dynamics of endomorphisms for certain classes of groups
      André da Cruz Carvalho (April 2023)
      Pedro V. Silva
  • A point-free study of z-embeddings, more general classes of localic maps, and uniform continuity
      Ana Belén Avilez García (April 2023)
      Jorge Picado
  • Analysis of equations of motion of inextensible strings and networks
      Ayk Telciyan (April 2023)
      Dmitry Vorotnikov
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