Topological approximation methods for evolutionary problems of nonlinear hydrodynamics VG Zvyagin, DA Vorotnikov Walter de Gruyter, 2008 | 109 | 2008 |

A new optimal transport distance on the space of finite Radon measures S Kondratyev, L Monsaingeon, D Vorotnikov Advances in Differential Equations 21 (11/12), 1117-1164, 2016 | 94 | 2016 |

Multiscale Tikhonov-total variation image restoration using spatially varying edge coherence exponent VBS Prasath, D Vorotnikov, R Pelapur, S Jose, G Seetharaman, ... IEEE Transactions on Image Processing 24 (12), 5220-5235, 2015 | 62 | 2015 |

Trajectory and global attractors of the boundary value problem for autonomous motion equations of viscoelastic medium DA Vorotnikov, VG Zvyagin Journal of Mathematical Fluid Mechanics 10 (1), 19-44, 2008 | 37 | 2008 |

Weak solutions for a bioconvection model related to Bacillus subtilis D Vorotnikov Communications in Mathematical Sciences 12, 545-563, 2014 | 33 | 2014 |

Approximating-topological methods in some problems of hydrodynamics VG Zvyagin, DA Vorotnikov Journal of Fixed Point Theory and Applications 3 (1), 23-49, 2008 | 31 | 2008 |

Dissipative solutions for equations of viscoelastic diffusion in polymers DA Vorotnikov Journal of mathematical analysis and applications 339 (2), 876-888, 2008 | 31 | 2008 |

Weighted and well-balanced anisotropic diffusion scheme for image denoising and restoration VBS Prasath, D Vorotnikov Nonlinear Analysis: Real World Applications 17, 33-46, 2014 | 29 | 2014 |

On the existence of weak solutions for the initial-boundary value problem in the Jeffreys model of motion of a viscoelastic medium DA Vorotnikov, VG Zvyagin Abstract and Applied Analysis 2004 (10), 815-829, 2004 | 29 | 2004 |

Uniform attractors for non-autonomous motion equations of viscoelastic medium DA Vorotnikov, VG Zvyagin Journal of mathematical analysis and applications 325 (1), 438-458, 2007 | 25 | 2007 |

On a system of adaptive coupled PDEs for image restoration VBS Prasath, D Vorotnikov Journal of mathematical imaging and vision 48 (1), 35-52, 2014 | 24 | 2014 |

On the existence of weak stationary solutions of a boundary value problem in the Jeffreys model of the motion of a viscoelastic medium DA Vorotnikov Izvestiya Vysshikh Uchebnykh Zavedenii. Matematika, 13-17, 2004 | 23* | 2004 |

Global generalized solutions for Maxwell-alpha and Euler-alpha equations D Vorotnikov Nonlinearity 25, 309, 2012 | 21 | 2012 |

Asymptotic behavior of the non-autonomous 3D Navier–Stokes problem with coercive force D Vorotnikov Journal of Differential Equations 251 (8), 2209-2225, 2011 | 20 | 2011 |

A fitness-driven cross-diffusion system from population dynamics as a gradient flow S Kondratyev, L Monsaingeon, D Vorotnikov Journal of Differential Equations 261 (5), 2784-2808, 2016 | 18 | 2016 |

On the solvability of the initial-value problem for the motion equations of nonlinear viscoelastic medium in the whole space DA Vorotnikov, VG Zvyagin Nonlinear Analysis: Theory, Methods & Applications 58 (5-6), 631-656, 2004 | 13 | 2004 |

Analysis of adaptive forward-backward diffusion flows with applications in image processing VBS Prasath, JM Urbano, D Vorotnikov Inverse Problems 31 (10), 105008, 2015 | 12 | 2015 |

On the convergence of solutions of the regularized problem for motion equations of Jeffreys viscoelastic medium to solutions of the original problem DA Vorotnikov, VG Zvyagin Journal of Mathematical Sciences 144 (5), 4398-4408, 2007 | 12* | 2007 |

On the trajectory and global attractors for the equations of motion of a viscoelastic medium DA Vorotnikov, VG Zvyagin Uspekhi Mat. Nauk 61 (1), 368-370, 2006 | 11* | 2006 |

On optimal transport of matrix-valued measures Y Brenier, D Vorotnikov SIAM Journal on Mathematical Analysis 52 (3), 2849-2873, 2020 | 10 | 2020 |