Vladimir Gol’dshtein

2.0k total citations
103 papers, 1.1k citations indexed

About

Vladimir Gol’dshtein is a scholar working on Applied Mathematics, Computational Mechanics and Geometry and Topology. According to data from OpenAlex, Vladimir Gol’dshtein has authored 103 papers receiving a total of 1.1k indexed citations (citations by other indexed papers that have themselves been cited), including 41 papers in Applied Mathematics, 38 papers in Computational Mechanics and 31 papers in Geometry and Topology. Recurrent topics in Vladimir Gol’dshtein's work include Combustion and flame dynamics (35 papers), Analytic and geometric function theory (27 papers) and Nonlinear Partial Differential Equations (26 papers). Vladimir Gol’dshtein is often cited by papers focused on Combustion and flame dynamics (35 papers), Analytic and geometric function theory (27 papers) and Nonlinear Partial Differential Equations (26 papers). Vladimir Gol’dshtein collaborates with scholars based in Israel, Germany and Russia. Vladimir Gol’dshtein's co-authors include Alexander Ukhlov, Igor Goldfarb, Marc Troyanov, V. Bykov, С.С. Сажин, Ulrich Maas, I. R. Shreǐber, J.B. Greenberg, Ophir Nave and G. Sivashinsky and has published in prestigious journals such as SHILAP Revista de lepidopterología, Biophysical Journal and Fuel.

In The Last Decade

Vladimir Gol’dshtein

92 papers receiving 991 citations

Peers — A (Enhanced Table)

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

Name h Career Trend Papers Cites
Vladimir Gol’dshtein Israel 20 439 412 296 208 192 103 1.1k
Hideaki Kaneko United States 13 124 0.3× 156 0.4× 108 0.4× 83 0.4× 34 0.2× 50 743
Gregory Sivashinsky Israel 20 74 0.2× 740 1.8× 23 0.1× 245 1.2× 432 2.3× 68 1.1k
Alan R. Elcrat United States 16 400 0.9× 293 0.7× 120 0.4× 8 0.0× 47 0.2× 73 835
L. Debnath United States 14 150 0.3× 265 0.6× 66 0.2× 23 0.1× 13 0.1× 91 753
Guy Joulin France 27 186 0.4× 2.0k 4.9× 31 0.1× 950 4.6× 890 4.6× 77 2.3k
Semion Gutman United States 12 97 0.2× 187 0.5× 12 0.0× 17 0.1× 31 0.2× 46 496
Prem K. Kythe United States 13 128 0.3× 145 0.4× 21 0.1× 16 0.1× 23 0.1× 25 639
П. А. Крутицкий Russia 15 254 0.6× 559 1.4× 2 0.0× 275 1.3× 52 0.3× 148 1.2k
P. A. Lagerstrom United States 12 67 0.2× 190 0.5× 24 0.1× 22 0.1× 80 0.4× 23 675
Athanasios E. Tzavaras United States 22 670 1.5× 477 1.2× 10 0.0× 56 0.3× 6 0.0× 69 1.1k

Countries citing papers authored by Vladimir Gol’dshtein

Since Specialization
Citations

This map shows the geographic impact of Vladimir Gol’dshtein'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 Vladimir Gol’dshtein with the expected number of citations based on a country's size and research output (numbers larger than one mean the country cites Vladimir Gol’dshtein more than expected).

Fields of papers citing papers by Vladimir Gol’dshtein

Since Specialization
Physical SciencesHealth SciencesLife SciencesSocial Sciences

This network shows the impact of papers produced by Vladimir Gol’dshtein. 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 Vladimir Gol’dshtein. The network helps show where Vladimir Gol’dshtein may publish in the future.

Co-authorship network of co-authors of Vladimir Gol’dshtein

This figure shows the co-authorship network connecting the top 25 collaborators of Vladimir Gol’dshtein. A scholar is included among the top collaborators of Vladimir Gol’dshtein 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 Vladimir Gol’dshtein. Vladimir Gol’dshtein 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.
Gol’dshtein, Vladimir & Reuven Segev. (2024). Notes on smooth and singular volumetric growth. Mechanics of Materials. 191. 104950–104950. 1 indexed citations
2.
Gol’dshtein, Vladimir, Evgeny Sevost’yanov, & Alexander Ukhlov. (2023). On the boundary behavior of weak (p; q)-quasiconformal mappings. Journal of Mathematical Sciences. 270(3). 420–427. 2 indexed citations
3.
Gol’dshtein, Vladimir, et al.. (2023). Continuum kinematics with incompatible–compatible decomposition. Philosophical Transactions of the Royal Society A Mathematical Physical and Engineering Sciences. 381(2263). 20220372–20220372.
4.
Gol’dshtein, Vladimir & Alexander Ukhlov. (2018). Composition Operators on Sobolev Spaces and Neumann Eigenvalues. Complex Analysis and Operator Theory. 13(6). 2781–2798. 3 indexed citations
5.
Bykov, V., et al.. (2018). Singularly perturbed profiles. IMA Journal of Applied Mathematics. 83(2). 323–346.
6.
Bykov, V. & Vladimir Gol’dshtein. (2013). Fast and slow invariant manifolds in chemical kinetics. Computers & Mathematics with Applications. 65(10). 1502–1515. 9 indexed citations
7.
Gol’dshtein, Vladimir & Alexander Ukhlov. (2013). Conformal Weights and Sobolev Embeddings. Journal of Mathematical Sciences. 193(2). 202–210. 8 indexed citations
8.
Nave, Ophir & Vladimir Gol’dshtein. (2011). The Flammable Spray Effect on Thermal Explosion of a Combustible Gas-Fuel Mixture. Combustion Science and Technology. 183(6). 519–539. 6 indexed citations
9.
Nave, Ophir, V. Bykov, & Vladimir Gol’dshtein. (2010). A probabilistic model of thermal explosion in polydisperse fuel spray. Applied Mathematics and Computation. 217(6). 2698–2709. 8 indexed citations
10.
Gol’dshtein, Vladimir, et al.. (2010). Existence of pressure driven wave. Russian Journal of Physical Chemistry B. 4(4). 574–579. 1 indexed citations
11.
Gol’dshtein, Vladimir & Marc Troyanov. (2010). A Short Proof of the Hölder-Poincaré Duality for $L_p$-Cohomology. Rendiconti del Seminario Matematico della Università di Padova. 124. 179–184. 2 indexed citations
12.
Gol’dshtein, Vladimir, et al.. (2009). Embedding theorems and boundary-value problems for cusp domains. Transactions of the American Mathematical Society. 362(4). 1963–1979.
13.
Gol’dshtein, Vladimir & Alexander Ukhlov. (2009). Weighted Sobolev spaces and embedding theorems. Transactions of the American Mathematical Society. 361(7). 3829–3850. 102 indexed citations
14.
Gol’dshtein, Vladimir & Marc Troyanov. (2008). On the naturality of the exterior differential. ArXiv.org. 30(1). 1–10. 1 indexed citations
15.
Bykov, V., Igor Goldfarb, Vladimir Gol’dshtein, & J.B. Greenberg. (2002). Thermal explosion in a hot gas mixture with fuel droplets: a two reactant model. Combustion Theory and Modelling. 6(2). 339–359. 14 indexed citations
16.
Сажин, С.С., et al.. (2001). Modelling of heat transfer and ignition processes in a diesel spray. 389–396.
17.
Gol’dshtein, Vladimir & Marc Troyanov. (2001). Axiomatic theory of Sobolev spaces. Expositiones Mathematicae. 19(4). 289–336. 45 indexed citations
18.
Braiman, Alex, Vladimir Gol’dshtein, & Zvi Priel. (2000). Feasibility of a Sustained Steep Ca2+Gradient in the Cytosol of Electrically Non-excitable Cells. Journal of Theoretical Biology. 206(1). 115–130. 9 indexed citations
19.
Gol’dshtein, Vladimir & Marc Troyanov. (1998). Sur la non-résolubilité du p-laplacien sur ℝn. Comptes Rendus de l Académie des Sciences - Series I - Mathematics. 326(10). 1185–1187. 2 indexed citations
20.
Gol’dshtein, Vladimir, et al.. (1994). Applications of change of variables operators for exact embedding theorems. Integral Equations and Operator Theory. 19(1). 1–24. 33 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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