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Dmitry Vorotnikov
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Year
A new optimal transport distance on the space of finite Radon measures
S Kondratyev, L Monsaingeon, D Vorotnikov
1672016
Topological approximation methods for evolutionary problems of nonlinear hydrodynamics
VG Zvyagin, DA Vorotnikov
Walter de Gruyter, 2008
1412008
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
752015
Weak solutions for a bioconvection model related to Bacillus subtilis
D Vorotnikov
Communications in Mathematical Sciences 12, 545-563, 2014
412014
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
402008
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
392014
Approximating-topological methods in some problems of hydrodynamics
VG Zvyagin, DA Vorotnikov
Journal of Fixed Point Theory and Applications 3, 23-49, 2008
372008
Dissipative solutions for equations of viscoelastic diffusion in polymers
DA Vorotnikov
Journal of mathematical analysis and applications 339 (2), 876-888, 2008
332008
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
332004
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
312007
On optimal transport of matrix-valued measures
Y Brenier, D Vorotnikov
SIAM Journal on Mathematical Analysis 52 (3), 2849-2873, 2020
302020
Asymptotic behavior of the non-autonomous 3D Navier–Stokes problem with coercive force
D Vorotnikov
Journal of Differential Equations 251 (8), 2209-2225, 2011
282011
On a system of adaptive coupled PDEs for image restoration
VBS Prasath, D Vorotnikov
Journal of mathematical imaging and vision 48, 35-52, 2014
272014
Global generalized solutions for Maxwell-alpha and Euler-alpha equations
D Vorotnikov
Nonlinearity 25, 309, 2012
252012
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
24*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
222016
Analysis of adaptive forward-backward diffusion flows with applications in image processing
VBS Prasath, JM Urbano, D Vorotnikov
Inverse Problems 31 (10), 105008, 2015
192015
Spherical Hellinger--Kantorovich Gradient Flows
S Kondratyev, D Vorotnikov
SIAM Journal on Mathematical Analysis 51 (3), 2053-2084, 2019
172019
The dynamical Schrödinger problem in abstract metric spaces
L Monsaingeon, L Tamanini, D Vorotnikov
Advances in Mathematics 426, 109100, 2023
142023
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
142004
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