| A new optimal transport distance on the space of finite Radon measures S Kondratyev, L Monsaingeon, D Vorotnikov | 151 | 2016 |
| Topological approximation methods for evolutionary problems of nonlinear hydrodynamics VG Zvyagin, DA Vorotnikov Walter de Gruyter, 2008 | 131 | 2008 |
| 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 | 72 | 2015 |
| Weak solutions for a bioconvection model related to Bacillus subtilis D Vorotnikov Communications in Mathematical Sciences 12, 545-563, 2014 | 40 | 2014 |
| 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 | 38 | 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 | 36 | 2014 |
| Approximating-topological methods in some problems of hydrodynamics VG Zvyagin, DA Vorotnikov Journal of Fixed Point Theory and Applications 3, 23-49, 2008 | 35 | 2008 |
| Dissipative solutions for equations of viscoelastic diffusion in polymers DA Vorotnikov Journal of mathematical analysis and applications 339 (2), 876-888, 2008 | 33 | 2008 |
| 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, 815-829, 2004 | 32 | 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 | 30 | 2007 |
| On a system of adaptive coupled PDEs for image restoration VBS Prasath, D Vorotnikov Journal of mathematical imaging and vision 48, 35-52, 2014 | 27 | 2014 |
| Asymptotic behavior of the non-autonomous 3D Navier–Stokes problem with coercive force D Vorotnikov Journal of Differential Equations 251 (8), 2209-2225, 2011 | 27 | 2011 |
| Global generalized solutions for Maxwell-alpha and Euler-alpha equations D Vorotnikov Nonlinearity 25, 309, 2012 | 25 | 2012 |
| On optimal transport of matrix-valued measures Y Brenier, D Vorotnikov SIAM Journal on Mathematical Analysis 52 (3), 2849-2873, 2020 | 24 | 2020 |
| 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 |
| 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 | 22 | 2016 |
| Analysis of adaptive forward-backward diffusion flows with applications in image processing VBS Prasath, JM Urbano, D Vorotnikov Inverse Problems 31 (10), 105008, 2015 | 19 | 2015 |
| Spherical Hellinger--Kantorovich Gradient Flows S Kondratyev, D Vorotnikov SIAM Journal on Mathematical Analysis 51 (3), 2053-2084, 2019 | 15 | 2019 |
| 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 |
| The dynamical Schrödinger problem in abstract metric spaces L Monsaingeon, L Tamanini, D Vorotnikov Advances in Mathematics 426, 109100, 2023 | 12 | 2023 |
