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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

  • Numerical semigroups: a conjecture of Wilf and related topics
      Neeraj Kumar (July 2025)
      Manuel Delgado
      Claude Marion
  • Dynamics of vector fields with univalued solutions
      Laura Rosales Ortiz (June 2025)
      Helena Reis
      Júlio Rebelo (Université Toulouse III)
  • Regular transitions of physical measures in nonuniformly hyperbolic systems
      Odaudu Reuben Etubi (April 2025)
      José Ferreira Alves
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