S. N. Kruzhkov

761 total citations
18 papers, 474 citations indexed

About

S. N. Kruzhkov is a scholar working on Applied Mathematics, Mathematical Physics and Computational Theory and Mathematics. According to data from OpenAlex, S. N. Kruzhkov has authored 18 papers receiving a total of 474 indexed citations (citations by other indexed papers that have themselves been cited), including 12 papers in Applied Mathematics, 9 papers in Mathematical Physics and 6 papers in Computational Theory and Mathematics. Recurrent topics in S. N. Kruzhkov's work include Differential Equations and Boundary Problems (7 papers), Advanced Mathematical Modeling in Engineering (5 papers) and Navier-Stokes equation solutions (4 papers). S. N. Kruzhkov is often cited by papers focused on Differential Equations and Boundary Problems (7 papers), Advanced Mathematical Modeling in Engineering (5 papers) and Navier-Stokes equation solutions (4 papers). S. N. Kruzhkov collaborates with scholars based in Russia and France. S. N. Kruzhkov's co-authors include Andrei V. Faminskii, O A Oleĭnik, Evgeny Yu. Panov, Boris Andreïanov, Philippe Benilán, Yu. Ilyashenko, A. S. Kalashnikov, Mikhail Shubin, В А Кондратьев and Alexander Filippov and has published in prestigious journals such as Journal of Functional Analysis, Russian Mathematical Surveys and Functional Analysis and Its Applications.

In The Last Decade

S. N. Kruzhkov

17 papers receiving 357 citations

Peers — A (Enhanced Table)

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

Name	h						Papers	Cites
S. N. Kruzhkov Russia	10	282	260	148	117	83	18	474
Orlando Lopes Brazil	12	206 0.7×	246 0.9×	211 1.4×	130 1.1×	204 2.5×	28	494
S. I. Pokhozhaev Russia	10	393 1.4×	248 1.0×	213 1.4×	87 0.7×	131 1.6×	51	532
Luigi Amerio Switzerland	6	298 1.1×	117 0.5×	140 0.9×	40 0.3×	208 2.5×	13	451
Alfonso Vignoli Italy	11	230 0.8×	178 0.7×	247 1.7×	72 0.6×	93 1.1×	31	539
Kurt Kreith United States	15	389 1.4×	191 0.7×	257 1.7×	28 0.2×	89 1.1×	86	610
L. Cesari United States	15	242 0.9×	94 0.4×	267 1.8×	51 0.4×	134 1.6×	48	528
R. Kannan United States	15	314 1.1×	85 0.3×	179 1.2×	64 0.5×	97 1.2×	58	540
A. S. Kalashnikov Russia	9	591 2.1×	312 1.2×	504 3.4×	47 0.4×	150 1.8×	27	829
Giovanni Prouse Italy	6	227 0.8×	96 0.4×	146 1.0×	31 0.3×	204 2.5×	13	389
Carlo Pucci Italy	12	325 1.2×	177 0.7×	242 1.6×	15 0.1×	40 0.5×	26	414

Countries citing papers authored by S. N. Kruzhkov

Since Specialization

Citations

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

Fields of papers citing papers by S. N. Kruzhkov

Since Specialization

Physical SciencesHealth SciencesLife SciencesSocial Sciences

This network shows the impact of papers produced by S. N. Kruzhkov. 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 S. N. Kruzhkov. The network helps show where S. N. Kruzhkov may publish in the future.

Co-authorship network of co-authors of S. N. Kruzhkov

This figure shows the co-authorship network connecting the top 25 collaborators of S. N. Kruzhkov. A scholar is included among the top collaborators of S. N. Kruzhkov 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 S. N. Kruzhkov. S. N. Kruzhkov is excluded from the visualization to improve readability, since they are connected to all nodes in the network.

All Works

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18 of 18 papers shown

Andreïanov, Boris, Philippe Benilán, & S. N. Kruzhkov. (2000). L1-Theory of Scalar Conservation Law with Continuous Flux Function. Journal of Functional Analysis. 171(1). 15–33. 23 indexed citations

Díaz, Jesús Ildefonso Díaz & S. N. Kruzhkov. (1996). Propagation properties for scalar conservation laws. 323(5). 463–468. 3 indexed citations

Kruzhkov, S. N. & Evgeny Yu. Panov. (1994). Osgood’s type conditions for uniqueness of entropy solutions to Cauchy problem for quasilinear conservation laws of the first order. ANNALI DELL UNIVERSITA DI FERRARA. 40(1). 31–54. 39 indexed citations

Kruzhkov, S. N., et al.. (1994). The Cauchy problem for a system of quasilinear parabolic equations of chemical kinetics type. Journal of Mathematical Sciences. 69(3). 1110–1125. 2 indexed citations

Arnold, Vladimir I., M. I. Vishik, Yu. Ilyashenko, et al.. (1989). Some unsolved problems in the theory of differential equations and mathematical physics. Russian Mathematical Surveys. 44(4). 157–171. 43 indexed citations

Kruzhkov, S. N., et al.. (1987). Asymptotic behaviour of the solutions of the Cauchy problem for non-linear first order equations. Russian Mathematical Surveys. 42(5). 1–47. 12 indexed citations

Kruzhkov, S. N. & Andrei V. Faminskii. (1984). GENERALIZED SOLUTIONS OF THE CAUCHY PROBLEM FOR THE KORTEWEG-DE VRIES EQUATION. Mathematics of the USSR-Sbornik. 48(2). 391–421. 119 indexed citations

Kruzhkov, S. N., et al.. (1983). On the theory of embedding of anisotropic Sobolev spaces. Russian Mathematical Surveys. 38(2). 188–189. 40 indexed citations

Kruzhkov, S. N. & Andrei V. Faminskii. (1981). Generalized solutions of the Korteweg-de Vries equation. 261(6). 1296–1298. 6 indexed citations

10.

Kruzhkov, S. N., et al.. (1978). A priori estimates and Harnack's inequality for generalized solutions of degenerate quasilinear parabolic equations. Siberian Mathematical Journal. 18(3). 434–449. 9 indexed citations

11.

Kruzhkov, S. N.. (1969). The Cauchy problem for some classes of quasi-linear parabolic equations. Mathematical Notes. 6(3). 634–637. 2 indexed citations

12.

Kruzhkov, S. N.. (1969). Results concerning the nature of the continuity of solutions of parabolic equations and some of their applications. Mathematical Notes. 6(1). 517–523. 52 indexed citations

13.

Kruzhkov, S. N.. (1969). On the minimax representation of solutions of first order nonlinear equations. Functional Analysis and Its Applications. 3(2). 128–136. 3 indexed citations

14.

Kruzhkov, S. N.. (1968). A Class of Problems with an Unknown Boundary for the Heat Conduction Equation. Soviet physics. Doklady. 13. 101. 1 indexed citations

15.

Kruzhkov, S. N.. (1967). On some problems with unknown boundaries for the heat conduction equation. Journal of Applied Mathematics and Mechanics. 31(6). 1014–1024. 10 indexed citations

16.

Kruzhkov, S. N.. (1967). Estimates for the highest derivatives of solutions of elliptic and parabolic equations with continuous coefficients. Mathematical Notes. 2(5). 824–830. 5 indexed citations

17.

Kruzhkov, S. N.. (1966). The method of finite differences for a first-order non-linear equation with many independent variables. USSR Computational Mathematics and Mathematical Physics. 6(5). 136–151. 4 indexed citations

18.

Oleĭnik, O A & S. N. Kruzhkov. (1961). QUASI-LINEAR SECOND-ORDER PARABOLIC EQUATIONS WITH MANY INDEPENDENT VARIABLES. Russian Mathematical Surveys. 16(5). 105–146. 101 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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