Ralph Saxton

784 total citations
18 papers, 513 citations indexed

About

Ralph Saxton is a scholar working on Mathematical Physics, Applied Mathematics and Statistical and Nonlinear Physics. According to data from OpenAlex, Ralph Saxton has authored 18 papers receiving a total of 513 indexed citations (citations by other indexed papers that have themselves been cited), including 6 papers in Mathematical Physics, 6 papers in Applied Mathematics and 5 papers in Statistical and Nonlinear Physics. Recurrent topics in Ralph Saxton's work include Nonlinear Waves and Solitons (5 papers), Advanced Mathematical Physics Problems (4 papers) and Thermoelastic and Magnetoelastic Phenomena (4 papers). Ralph Saxton is often cited by papers focused on Nonlinear Waves and Solitons (5 papers), Advanced Mathematical Physics Problems (4 papers) and Thermoelastic and Magnetoelastic Phenomena (4 papers). Ralph Saxton collaborates with scholars based in United States and Poland. Ralph Saxton's co-authors include John K. Hunter, Peter A. Clarkson, Randall J. LeVeque, David G. Ebin, Witold Kosiński, Jerry L. Bona, Stephen C. Preston, Michael M. Bernitsas, Nikolaos I. Xiros and Juliette W. Ioup and has published in prestigious journals such as Journal of Mathematical Analysis and Applications, Archive for Rational Mechanics and Analysis and SIAM Journal on Applied Mathematics.

In The Last Decade

Ralph Saxton

17 papers receiving 478 citations

Author Peers

Peers are selected by citation overlap in the author's most active subfields. citations · hero ref

Author Last Decade Papers Cites
Ralph Saxton 400 205 140 107 63 18 513
Dionyssios Mantzavinos 468 1.2× 335 1.6× 63 0.5× 54 0.5× 41 0.7× 32 586
Hongyou Wu 252 0.6× 211 1.0× 106 0.8× 171 1.6× 92 1.5× 33 476
Peter Topalov 507 1.3× 492 2.4× 255 1.8× 387 3.6× 16 0.3× 71 845
Yuri Bozhkov 229 0.6× 65 0.3× 91 0.7× 120 1.1× 75 1.2× 39 379
Lorenzo di Ruvo 347 0.9× 385 1.9× 29 0.2× 203 1.9× 67 1.1× 63 583
A. A. Elmandouh 506 1.3× 73 0.4× 91 0.7× 53 0.5× 244 3.9× 58 663
Gerard Thompson 233 0.6× 82 0.4× 160 1.1× 170 1.6× 9 0.1× 47 463
Sandra Carillo 282 0.7× 55 0.3× 120 0.9× 28 0.3× 73 1.2× 51 467
Martin Staley 362 0.9× 222 1.1× 86 0.6× 74 0.7× 30 0.5× 4 409
S. Duzhin 250 0.6× 133 0.6× 209 1.5× 40 0.4× 11 0.2× 21 418

Countries citing papers authored by Ralph Saxton

Since Specialization
Citations

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

Fields of papers citing papers by Ralph Saxton

Since Specialization
Physical SciencesHealth SciencesLife SciencesSocial Sciences

This network shows the impact of papers produced by Ralph Saxton. 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 Ralph Saxton. The network helps show where Ralph Saxton may publish in the future.

Co-authorship network of co-authors of Ralph Saxton

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

All Works

18 of 18 papers shown
1.
Xiros, Nikolaos I., et al.. (2018). Dynamic Modeling of Flow Induced Vibration Power-Plants. 2 indexed citations
2.
Saxton, Ralph, et al.. (2016). Blow-up of solutions to the generalized inviscid Proudman-Johnson equation. 5 indexed citations
3.
Saxton, Ralph, et al.. (2015). A sign-changing Liouville equation. Journal of Evolution Equations. 15(4). 847–867. 1 indexed citations
4.
Saxton, Ralph, et al.. (2015). The role of initial curvature in solutions to the generalized inviscid Proudman-Johnson equation. Quarterly of Applied Mathematics. 73(1). 55–91. 3 indexed citations
5.
Preston, Stephen C. & Ralph Saxton. (2012). An $H^1$ model for inextensible strings. Discrete and Continuous Dynamical Systems. 33(5). 2065–2083. 1 indexed citations
6.
Saxton, Ralph, et al.. (2011). On the influence of damping in hyperbolic equations with parabolic degeneracy. Quarterly of Applied Mathematics. 70(1). 171–180. 1 indexed citations
7.
Saxton, Ralph, et al.. (2008). Global Existence of Some Infinite Energy Solutions for a Perfect Incompressible Fluid. SIAM Journal on Mathematical Analysis. 40(4). 1499–1515. 7 indexed citations
8.
Saxton, Ralph, et al.. (2006). Phase Transitions and Change of Type in Low-Temperature Heat Propagation. SIAM Journal on Applied Mathematics. 66(5). 1689–1702. 2 indexed citations
9.
Saxton, Ralph, et al.. (2005). PHASE TRANSITIONS AND ASPECTS OF HEAT PROPAGATION IN LOW TEMPERATURE SOLIDS. 1128–1130. 1 indexed citations
10.
Saxton, Ralph, et al.. (2002). Some effects of phase transitions on heat propagation. Archives of Mechanics. 54. 635–646. 1 indexed citations
11.
Bona, Jerry L., et al.. (2000). Nonlinear PDE's, dynamics and continuum physics : 1998 AMS-IMS-SIAM Joint Summer Research Conference on Nonlinear PDE's, Dynamics and Continuum Physics, July 19-23, 1998, Mount Holyoke College. American Mathematical Society eBooks. 1 indexed citations
12.
Saxton, Ralph, et al.. (2000). Nonlinearity and memory effects in low temperature heat propagation. Archives of Mechanics. 52(1). 127–142. 7 indexed citations
13.
Bona, Jerry L., et al.. (2000). Nonlinear PDE’s, Dynamics and Continuum Physics. Contemporary mathematics - American Mathematical Society. 9 indexed citations
14.
Saxton, Ralph, et al.. (1999). On second sound at the critical temperature. Quarterly of Applied Mathematics. 57(4). 723–740. 11 indexed citations
15.
Hunter, John K. & Ralph Saxton. (1991). Dynamics of Director Fields. SIAM Journal on Applied Mathematics. 51(6). 1498–1521. 306 indexed citations
16.
Ebin, David G. & Ralph Saxton. (1986). The initial-value problem for elastodynamics of incompressible bodies. Archive for Rational Mechanics and Analysis. 94(1). 15–38. 13 indexed citations
17.
Clarkson, Peter A., Randall J. LeVeque, & Ralph Saxton. (1986). Solitary‐Wave Interactions in Elastic Rods. Studies in Applied Mathematics. 75(2). 95–121. 127 indexed citations
18.
Saxton, Ralph. (1985). Existence of solutions for a finite nonlinearly hyperelastic rod. Journal of Mathematical Analysis and Applications. 105(1). 59–75. 15 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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