Dmitry Vorotnikov

632 total citations
32 papers, 390 citations indexed

About

Dmitry Vorotnikov is a scholar working on Applied Mathematics, Computational Theory and Mathematics and Control and Systems Engineering. According to data from OpenAlex, Dmitry Vorotnikov has authored 32 papers receiving a total of 390 indexed citations (citations by other indexed papers that have themselves been cited), including 15 papers in Applied Mathematics, 13 papers in Computational Theory and Mathematics and 12 papers in Control and Systems Engineering. Recurrent topics in Dmitry Vorotnikov's work include Advanced Mathematical Modeling in Engineering (12 papers), Stability and Controllability of Differential Equations (12 papers) and Navier-Stokes equation solutions (7 papers). Dmitry Vorotnikov is often cited by papers focused on Advanced Mathematical Modeling in Engineering (12 papers), Stability and Controllability of Differential Equations (12 papers) and Navier-Stokes equation solutions (7 papers). Dmitry Vorotnikov collaborates with scholars based in Portugal, Russia and United States. Dmitry Vorotnikov's co-authors include V. G. Zvyagin, V. B. Surya Prasath, Rengarajan Pelapur, Guna Seetharaman, Kannappan Palaniappan, José Miguel Urbano and Wenhui Shi and has published in prestigious journals such as IEEE Transactions on Image Processing, Journal of Mathematical Analysis and Applications and Archive for Rational Mechanics and Analysis.

In The Last Decade

Dmitry Vorotnikov

30 papers receiving 351 citations

Peers — A (Enhanced Table)

Peers by citation overlap · career bar shows stage (early→late) cites · hero ref

Name h Career Trend Papers Cites
Dmitry Vorotnikov Portugal 12 168 138 132 102 57 32 390
Nour Eddine Alaa Morocco 13 275 1.6× 87 0.6× 291 2.2× 55 0.5× 29 0.5× 64 447
Patrick Guidotti United States 10 92 0.5× 36 0.3× 105 0.8× 145 1.4× 58 1.0× 35 348
Massimo Gobbino Italy 14 260 1.5× 271 2.0× 294 2.2× 36 0.4× 65 1.1× 65 580
Fengxin Chen China 9 100 0.6× 85 0.6× 73 0.6× 15 0.1× 47 0.8× 34 310
Françoise Demengel France 12 457 2.7× 67 0.5× 433 3.3× 39 0.4× 70 1.2× 37 643
Gregory Derfel Israel 9 152 0.9× 23 0.2× 63 0.5× 29 0.3× 51 0.9× 23 347
John L. Troutman United States 6 44 0.3× 73 0.5× 46 0.3× 33 0.3× 36 0.6× 12 311
Gérard Michaille France 8 149 0.9× 36 0.3× 324 2.5× 50 0.5× 107 1.9× 29 493
Carlos N. Rautenberg United States 11 47 0.3× 90 0.7× 96 0.7× 67 0.7× 109 1.9× 32 275
Abdallah El Hamidi France 12 351 2.1× 47 0.3× 319 2.4× 32 0.3× 37 0.6× 33 483

Countries citing papers authored by Dmitry Vorotnikov

Since Specialization
Citations

This map shows the geographic impact of Dmitry Vorotnikov's research. It shows the number of citations coming from papers published by authors working in each country. You can also color the map by specialization and compare the number of citations received by Dmitry Vorotnikov with the expected number of citations based on a country's size and research output (numbers larger than one mean the country cites Dmitry Vorotnikov more than expected).

Fields of papers citing papers by Dmitry Vorotnikov

Since Specialization
Physical SciencesHealth SciencesLife SciencesSocial Sciences

This network shows the impact of papers produced by Dmitry Vorotnikov. Nodes represent research fields, and links connect fields that are likely to share authors. Colored nodes show fields that tend to cite the papers produced by Dmitry Vorotnikov. The network helps show where Dmitry Vorotnikov may publish in the future.

Co-authorship network of co-authors of Dmitry Vorotnikov

This figure shows the co-authorship network connecting the top 25 collaborators of Dmitry Vorotnikov. A scholar is included among the top collaborators of Dmitry Vorotnikov based on the total number of citations received by their joint publications. Widths of edges represent the number of papers authors have co-authored together. Node borders signify the number of papers an author published with Dmitry Vorotnikov. Dmitry Vorotnikov is excluded from the visualization to improve readability, since they are connected to all nodes in the network.

All Works

20 of 20 papers shown
1.
Shi, Wenhui & Dmitry Vorotnikov. (2019). The gradient flow of the potential energy on the space of arcs. Calculus of Variations and Partial Differential Equations. 58(2).
2.
Shi, Wenhui & Dmitry Vorotnikov. (2018). Uniformly Compressing Mean Curvature Flow. Journal of Geometric Analysis. 29(4). 3055–3097. 2 indexed citations
3.
Prasath, V. B. Surya & Dmitry Vorotnikov. (2017). On time adaptive critical variable exponent vectorial diffusion flows and their applications in image processing I: Analysis. Nonlinear Analysis. 168. 176–197. 3 indexed citations
4.
Vorotnikov, Dmitry, et al.. (2016). A fitness-driven cross-diffusion system from population dynamics as a gradient flow. Journal of Differential Equations. 261(5). 2784–2808. 6 indexed citations
5.
Vorotnikov, Dmitry, et al.. (2016). Generalized solutions for inextensible string equations. Journal of Differential Equations. 262(6). 3610–3641. 2 indexed citations
6.
Vorotnikov, Dmitry, et al.. (2016). A new multicomponent Poincaré–Beckner inequality. Journal of Functional Analysis. 272(8). 3281–3310. 1 indexed citations
7.
Prasath, V. B. Surya, et al.. (2015). Multiscale Tikhonov-Total Variation Image Restoration Using Spatially Varying Edge Coherence Exponent. IEEE Transactions on Image Processing. 24(12). 5220–5235. 56 indexed citations
8.
Vorotnikov, Dmitry. (2013). Analytical aspects of the Brownian motor effect in randomly flashing ratchets. Journal of Mathematical Biology. 68(7). 1677–1705. 5 indexed citations
9.
Prasath, V. B. Surya & Dmitry Vorotnikov. (2013). Weighted and well-balanced anisotropic diffusion scheme for image denoising and restoration. Nonlinear Analysis Real World Applications. 17. 33–46. 26 indexed citations
10.
Prasath, V. B. Surya & Dmitry Vorotnikov. (2012). On a System of Adaptive Coupled PDEs for Image Restoration. Journal of Mathematical Imaging and Vision. 48(1). 35–52. 16 indexed citations
11.
Urbano, José Miguel & Dmitry Vorotnikov. (2011). On the well-posedness of a two-phase minimization problem. Journal of Mathematical Analysis and Applications. 378(1). 159–168. 2 indexed citations
12.
Vorotnikov, Dmitry. (2011). Asymptotic behavior of the non-autonomous 3D Navier–Stokes problem with coercive force. Journal of Differential Equations. 251(8). 2209–2225. 15 indexed citations
13.
Vorotnikov, Dmitry. (2008). Weak solvability for equations of viscoelastic diffusion in polymers with variable coefficients. Journal of Differential Equations. 246(3). 1038–1056. 4 indexed citations
14.
Zvyagin, V. G. & Dmitry Vorotnikov. (2008). Approximating-topological methods in some problems of hydrodynamics. Journal of Fixed Point Theory and Applications. 3(1). 23–49. 22 indexed citations
15.
Zvyagin, V. G. & Dmitry Vorotnikov. (2007). Existence of solutions for motion equations for an objective model of viscoelastic medium. PAMM. 7(1). 1060107–1060108. 1 indexed citations
16.
Vorotnikov, Dmitry & V. G. Zvyagin. (2007). Weak solutions and attractors for motion equations for an objective model of viscoelastic medium. PAMM. 7(1). 1060105–1060106. 1 indexed citations
17.
Vorotnikov, Dmitry & V. G. Zvyagin. (2007). On the convergence of solutions of the regularized problem for motion equations of Jeffreys viscoelastic medium to solutions of the original problem. Journal of Mathematical Sciences. 144(5). 4398–4408. 2 indexed citations
18.
Vorotnikov, Dmitry & V. G. Zvyagin. (2006). Trajectory and Global Attractors of the Boundary Value Problem for Autonomous Motion Equations of Viscoelastic Medium. Journal of Mathematical Fluid Mechanics. 10(1). 19–44. 20 indexed citations
19.
Vorotnikov, Dmitry & V. G. Zvyagin. (2006). Uniform attractors for non-autonomous motion equations of viscoelastic medium. Journal of Mathematical Analysis and Applications. 325(1). 438–458. 14 indexed citations
20.
Vorotnikov, Dmitry & V. G. Zvyagin. (2004). On the solvability of the initial-value problem for the motion equations of nonlinear viscoelastic medium in the whole space. Nonlinear Analysis. 58(5-6). 631–656. 3 indexed citations

Rankless uses publication and citation data sourced from OpenAlex, an open and comprehensive bibliographic database. While OpenAlex provides broad and valuable coverage of the global research landscape, it—like all bibliographic datasets—has inherent limitations. These include incomplete records, variations in author disambiguation, differences in journal indexing, and delays in data updates. As a result, some metrics and network relationships displayed in Rankless may not fully capture the entirety of a scholar's output or impact.

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