• 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

  • Statistical instability in chaotic dynamics
      Muhammad Ali Khan (March 2018)
      José Ferreira Alves
  • Sharp regularity for nonlinear evolution equations
      Anderson Feitoza Leitão Maia (March 2018)
      José Miguel Urbano
  • Profinite topologies on the free group
      Khadijeh Alibabaei (March 2018)
      Jorge Almeida
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