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Michael Renardy

Michael Renardy

Virginia Tech
United States

D-Index & Metrics

Discipline name D-Index World Ranking Current World Ranking National Ranking Current National Ranking Publications Citations
Mathematics 43 1663 1437 719 577 253 11038
Engineering and Technology 52 3569 3416 1049 960 273 12472

Michael Renardy publications per year

The chart shows the history of publications by Michael Renardy between 1979 and 2023, highlighting the no. of papers published in each year and offering an overview of the publication velocity of this scholar. Michael Renardy published across 45 years, from 1979 to 2023, averaging 6.5 papers a year. Output peaked at 18 publications in 2000. 1 of the 293 publications appeared in the last two years.

No. of publications
5 10 15
Bar chart. Horizontal axis: year, 1979 to 2023. Vertical axis: number of publications, 0 to 18. Peak 18 publications in 2000. 1979: 1 publication 1980: 1 publication 1981: 0 publications 1982: 5 publications 1983: 5 publications 1984: 12 publications 1985: 12 publications 1986: 8 publications 1987: 5 publications 1988: 8 publications 1989: 8 publications 1990: 9 publications 1991: 5 publications 1992: 8 publications 1993: 9 publications 1994: 15 publications 1995: 10 publications 1996: 9 publications 1997: 11 publications 1998: 8 publications 1999: 8 publications 2000: 18 publications 2001: 6 publications 2002: 8 publications 2003: 6 publications 2004: 7 publications 2005: 12 publications 2006: 4 publications 2007: 2 publications 2008: 7 publications 2009: 11 publications 2010: 10 publications 2011: 11 publications 2012: 2 publications 2013: 5 publications 2014: 3 publications 2015: 6 publications 2016: 2 publications 2017: 8 publications 2018: 4 publications 2019: 2 publications 2020: 0 publications 2021: 1 publication 2022: 0 publications 2023: 1 publication
1979 2023

293 publications in total across all disciplines

View publications per year as a table
Michael Renardy: publications per year, 1979 to 2023
Year Publications
1979 1
1980 1
1981 0
1982 5
1983 5
1984 12
1985 12
1986 8
1987 5
1988 8
1989 8
1990 9
1991 5
1992 8
1993 9
1994 15
1995 10
1996 9
1997 11
1998 8
1999 8
2000 18
2001 6
2002 8
2003 6
2004 7
2005 12
2006 4
2007 2
2008 7
2009 11
2010 10
2011 11
2012 2
2013 5
2014 3
2015 6
2016 2
2017 8
2018 4
2019 2
2020 0
2021 1
2022 0
2023 1
Total 293
Download as CSV

Michael Renardy publications per year - data summary

  • Michael Renardy, a Mathematics scholar from Virginia Tech, has 293 publications recorded across 45 years, from 1979 to 2023.
  • The oldest publication on record dates to 1979 and the most recent to 2023.
  • The most productive year is 2000, with 18 publications.
  • The least productive years with any output are 1979, 1980, 2021 and 2023, with 1 publication each.
  • 3 of the 45 years in the span carry no publications at all (1981, 2020 and 2022).
  • The rate of publication averages 6.5 papers per year over the whole span, or 7.0 per year counting only the 42 years with at least one publication.
  • The last 5 years on the chart (2019-2023) hold 4 publications, 1% of the career total.
  • Split into equal eras - 1979-1993: 96 publications (6.4 per year); 1994-2008: 131 publications (8.7 per year); 2009-2023: 66 publications (4.4 per year).
  • Comparing the opening and closing eras, the overall trend of publication is declining.

Michael Renardy publication distribution in Mathematics in 2026

The chart shows the distribution of publications by all Research.com ranked scientists in the field of Mathematics in 2026. The highlighted bar marks where Michael Renardy sits on this spectrum.

No. of scientists
25 50 75 100
Bar chart with 100 bars. Horizontal axis: publications, 42–46 to 537+. Vertical axis: number of scientists, 0 to 112. Most scientists, 112, have 142–146 publications. The last bar groups every scientist with 537 publications or more. The highlighted bar, 252–256 publications, is where this scientist sits. 42–46 publications: 3 scientists 47–51 publications: 5 scientists 52–56 publications: 7 scientists 57–61 publications: 20 scientists 62–66 publications: 14 scientists 67–71 publications: 25 scientists 72–76 publications: 19 scientists 77–81 publications: 35 scientists 82–86 publications: 50 scientists 87–91 publications: 60 scientists 92–96 publications: 86 scientists 97–101 publications: 84 scientists 102–106 publications: 83 scientists 107–111 publications: 90 scientists 112–116 publications: 99 scientists 117–121 publications: 90 scientists 122–126 publications: 91 scientists 127–131 publications: 109 scientists 132–136 publications: 110 scientists 137–141 publications: 98 scientists 142–146 publications: 112 scientists 147–151 publications: 102 scientists 152–156 publications: 88 scientists 157–161 publications: 106 scientists 162–166 publications: 83 scientists 167–171 publications: 102 scientists 172–176 publications: 77 scientists 177–181 publications: 81 scientists 182–186 publications: 78 scientists 187–191 publications: 71 scientists 192–196 publications: 92 scientists 197–201 publications: 64 scientists 202–206 publications: 69 scientists 207–211 publications: 64 scientists 212–216 publications: 62 scientists 217–221 publications: 58 scientists 222–226 publications: 53 scientists 227–231 publications: 50 scientists 232–236 publications: 46 scientists 237–241 publications: 46 scientists 242–246 publications: 46 scientists 247–251 publications: 43 scientists 252–256 publications: 29 scientists 257–261 publications: 45 scientists 262–266 publications: 30 scientists 267–271 publications: 33 scientists 272–276 publications: 34 scientists 277–281 publications: 30 scientists 282–286 publications: 31 scientists 287–291 publications: 21 scientists 292–296 publications: 34 scientists 297–301 publications: 26 scientists 302–306 publications: 10 scientists 307–311 publications: 17 scientists 312–316 publications: 23 scientists 317–321 publications: 13 scientists 322–326 publications: 16 scientists 327–331 publications: 26 scientists 332–336 publications: 13 scientists 337–341 publications: 13 scientists 342–346 publications: 16 scientists 347–351 publications: 17 scientists 352–356 publications: 12 scientists 357–361 publications: 18 scientists 362–366 publications: 18 scientists 367–371 publications: 9 scientists 372–376 publications: 11 scientists 377–381 publications: 8 scientists 382–386 publications: 8 scientists 387–391 publications: 9 scientists 392–396 publications: 9 scientists 397–401 publications: 8 scientists 402–406 publications: 11 scientists 407–411 publications: 6 scientists 412–416 publications: 6 scientists 417–421 publications: 9 scientists 422–426 publications: 8 scientists 427–431 publications: 5 scientists 432–436 publications: 8 scientists 437–441 publications: 8 scientists 442–446 publications: 4 scientists 447–451 publications: 4 scientists 452–456 publications: 4 scientists 457–461 publications: 2 scientists 462–466 publications: 2 scientists 467–471 publications: 4 scientists 472–476 publications: 3 scientists 477–481 publications: 3 scientists 482–486 publications: 6 scientists 487–491 publications: 3 scientists 492–496 publications: 5 scientists 497–501 publications: 5 scientists 502–506 publications: 1 scientist 507–511 publications: 6 scientists 512–516 publications: 4 scientists 517–521 publications: 1 scientist 522–526 publications: 3 scientists 527–531 publications: 1 scientist 532–536 publications: 4 scientists 537+ publications: 100 scientists
42–46 publications 537+

This scientist: 253 publications — 78th percentile

78% of scientists in this discipline score the same or lower.

The last bar groups every scientist with 537 publications or more.

View publications distribution as a table
Number of Mathematics scientists by publication count, Research.com 2026 ranking edition. Based on 3,584 ranked scientists.
Publications Scientists This scientist
42–46 3
47–51 5
52–56 7
57–61 20
62–66 14
67–71 25
72–76 19
77–81 35
82–86 50
87–91 60
92–96 86
97–101 84
102–106 83
107–111 90
112–116 99
117–121 90
122–126 91
127–131 109
132–136 110
137–141 98
142–146 112
147–151 102
152–156 88
157–161 106
162–166 83
167–171 102
172–176 77
177–181 81
182–186 78
187–191 71
192–196 92
197–201 64
202–206 69
207–211 64
212–216 62
217–221 58
222–226 53
227–231 50
232–236 46
237–241 46
242–246 46
247–251 43
252–256 29 253
257–261 45
262–266 30
267–271 33
272–276 34
277–281 30
282–286 31
287–291 21
292–296 34
297–301 26
302–306 10
307–311 17
312–316 23
317–321 13
322–326 16
327–331 26
332–336 13
337–341 13
342–346 16
347–351 17
352–356 12
357–361 18
362–366 18
367–371 9
372–376 11
377–381 8
382–386 8
387–391 9
392–396 9
397–401 8
402–406 11
407–411 6
412–416 6
417–421 9
422–426 8
427–431 5
432–436 8
437–441 8
442–446 4
447–451 4
452–456 4
457–461 2
462–466 2
467–471 4
472–476 3
477–481 3
482–486 6
487–491 3
492–496 5
497–501 5
502–506 1
507–511 6
512–516 4
517–521 1
522–526 3
527–531 1
532–536 4
537+ 100
Download as CSV

Michael Renardy publication distribution in Mathematics in 2026 - data summary

  • The chart plots the publication count of all 3,584 Mathematics scientists ranked by Research.com in 2026, grouped into 100 ranges running from 42–46 to 537+ publications.
  • Michael Renardy, a Mathematics scholar from Virginia Tech, records 253 publications - the 78th percentile of the discipline.
  • 78% of ranked Mathematics scientists score the same or lower than Michael Renardy, and about 22% score higher.
  • The median of the discipline falls in the 172–176 publications range, and Michael Renardy ranks above the median.
  • The most crowded range is 142–146 publications, holding 112 scientists (3% of the field).
  • 47% of the field sits in the lowest quarter of the value range (up to 162–166 publications), so the distribution leans towards the lower end of the scale.
  • The final bar has no upper bound: it groups every scientist with 537 publications or more, 100 scientists in all (3% of the field).

Michael Renardy D-index placement in Mathematics in 2026

The chart shows the D-index (discipline H-index) distribution of Mathematics scientists ranked by Research.com in 2026. The highlighted bar marks where Michael Renardy sits on this spectrum.

No. of scientists
50 100 150
Bar chart with 57 bars. Horizontal axis: D-Index, 30 to 86+. Vertical axis: number of scientists, 0 to 174. Most scientists, 174, have 30 D-Index. The last bar groups every scientist with 86 D-Index or more. The highlighted bar, 43 D-Index, is where this scientist sits. 30 D-Index: 174 scientists 31 D-Index: 151 scientists 32 D-Index: 174 scientists 33 D-Index: 117 scientists 34 D-Index: 136 scientists 35 D-Index: 127 scientists 36 D-Index: 145 scientists 37 D-Index: 153 scientists 38 D-Index: 150 scientists 39 D-Index: 150 scientists 40 D-Index: 138 scientists 41 D-Index: 136 scientists 42 D-Index: 93 scientists 43 D-Index: 108 scientists 44 D-Index: 115 scientists 45 D-Index: 112 scientists 46 D-Index: 103 scientists 47 D-Index: 75 scientists 48 D-Index: 59 scientists 49 D-Index: 67 scientists 50 D-Index: 60 scientists 51 D-Index: 57 scientists 52 D-Index: 59 scientists 53 D-Index: 62 scientists 54 D-Index: 60 scientists 55 D-Index: 50 scientists 56 D-Index: 42 scientists 57 D-Index: 54 scientists 58 D-Index: 50 scientists 59 D-Index: 42 scientists 60 D-Index: 41 scientists 61 D-Index: 35 scientists 62 D-Index: 40 scientists 63 D-Index: 21 scientists 64 D-Index: 31 scientists 65 D-Index: 27 scientists 66 D-Index: 29 scientists 67 D-Index: 19 scientists 68 D-Index: 25 scientists 69 D-Index: 17 scientists 70 D-Index: 18 scientists 71 D-Index: 12 scientists 72 D-Index: 14 scientists 73 D-Index: 13 scientists 74 D-Index: 18 scientists 75 D-Index: 9 scientists 76 D-Index: 11 scientists 77 D-Index: 10 scientists 78 D-Index: 9 scientists 79 D-Index: 16 scientists 80 D-Index: 12 scientists 81 D-Index: 10 scientists 82 D-Index: 5 scientists 83 D-Index: 5 scientists 84 D-Index: 13 scientists 85 D-Index: 6 scientists 86+ D-Index: 99 scientists
30 D-Index 86+

This scientist: 43 D-Index — 54th percentile

54% of scientists in this discipline score the same or lower.

The last bar groups every scientist with 86 D-Index or more.

View D-Index distribution as a table
Number of Mathematics scientists by D-index, Research.com 2026 ranking edition. Based on 3,584 ranked scientists.
D-Index Scientists This scientist
30 174
31 151
32 174
33 117
34 136
35 127
36 145
37 153
38 150
39 150
40 138
41 136
42 93
43 108 43
44 115
45 112
46 103
47 75
48 59
49 67
50 60
51 57
52 59
53 62
54 60
55 50
56 42
57 54
58 50
59 42
60 41
61 35
62 40
63 21
64 31
65 27
66 29
67 19
68 25
69 17
70 18
71 12
72 14
73 13
74 18
75 9
76 11
77 10
78 9
79 16
80 12
81 10
82 5
83 5
84 13
85 6
86+ 99
Download as CSV

Michael Renardy D-index placement in Mathematics in 2026 - data summary

  • The chart plots the discipline H-index (D-index) of all 3,584 Mathematics scientists ranked by Research.com in 2026, grouped into 57 ranges running from 30 to 86+ D-Index.
  • Michael Renardy, a Mathematics scholar from Virginia Tech, records 43 D-Index - the 54th percentile of the discipline.
  • 54% of ranked Mathematics scientists score the same or lower than Michael Renardy, and about 46% score higher.
  • The median of the discipline falls in the 42 D-Index range, and Michael Renardy ranks above the median.
  • The most crowded range is 30 D-Index, holding 174 scientists (5% of the field).
  • 58% of the field sits in the lowest quarter of the value range (up to 44 D-Index), so the distribution is heavily right-skewed and high scores are rare.
  • The final bar has no upper bound: it groups every scientist with 86 D-Index or more, 99 scientists in all (3% of the field).

Research.com Recognitions

  • 2013 - Fellow of the American Mathematical Society

Overview

Michael Renardy is affiliated with Virginia Tech in the United States. Their research spans several fields including Chemical Engineering, Engineering, and Medicine, with a focus on specialized subfields such as Fluid Flow and Transfer Processes, Computational Mechanics, and Pulmonary and Respiratory Medicine.

Renardy's work primarily addresses topics in Rheology and Fluid Dynamics Studies, Fluid Dynamics and Turbulent Flows, and Blood Properties and Coagulation. These areas reflect an interdisciplinary approach bridging engineering principles with medical applications.

Their recent publication record includes the paper titled A mathematician's perspective on the Oldroyd B model: Progress and future challenges, published in 2021 in the Journal of Non-Newtonian Fluid Mechanics. This paper explores mathematical aspects of fluid mechanics models related to complex fluids, contributing to the understanding of non-Newtonian fluid behavior.

  • A mathematician's perspective on the Oldroyd B model: Progress and future challenges (2021, Journal of Non-Newtonian Fluid Mechanics)

Collaborations in Renardy's research include frequent work with Becca Thomases. Their work appears predominantly in the Journal of Non-Newtonian Fluid Mechanics, highlighting a focused contribution to this publication venue.

  • Becca Thomases

Michael Renardy has been recognized by the American Mathematical Society as a Fellow since 2013, an acknowledgment within the mathematics community.

Best Publications

  • An introduction to partial differential equations

    Michael Renardy;Robert C. Rogers

  • Mathematical problems in viscoelasticity

    Michael Renardy;W. Hrusa;John A. Nohel

  • PROST: a parabolic reconstruction of surface tension for the volume-of-fluid method

    Yuriko Renardy;Michael Renardy

  • Numerical simulation of moving contact line problems using a volume-of-fluid method

    Michael Renardy;Yuriko Renardy;Jie Li

  • Numerical simulation of breakup of a viscous drop in simple shear flow through a volume-of-fluid method

    Jie Li;Yuriko Y. Renardy;Michael Renardy

  • Instability of the flow of two immiscible liquids with different viscosities in a pipe

    Daniel D. Joseph;Michael Renardy;Yuriko Renardy

  • Hyperbolicity and change of type in the flow of viscoelastic fluids

    Daniel D. Joseph;Michael Renardy;Jean-Claude Saut

  • Pyramidal and toroidal water drops after impact on a solid surface

    Yuriko Renardy;Stéphane Popinet;Laurent Duchemin;Michael Renardy

  • Wolfgang von Ohnesorge

    Gareth H. McKinley;Michael J. Renardy

  • Deformation of a hydrophobic ferrofluid droplet suspended in a viscous medium under uniform magnetic fields

    S. Afkhami;A. J. Tyler;Yuriko Y. Renardy;Michael J. Renardy

  • Mathematical analysis of viscoelastic flows

    Michael Renardy

  • A note on the equations of a thermoelastic plate

    Z.-Y. Liu;M. Renardy

  • Linear stability of plane couette flow of an upper convected maxwell fluid

    Michael Renardy;Yuriko Renardy

  • A numerical study of the asymptotic evolution and breakup of Newtonian and viscoelastic jets

    Michael Renardy

  • An existence theorem for model equations resulting from kinetic theories of polymer solutions

    Michael Renardy

  • A new volume-of-fluid formulation for surfactants and simulations of drop deformation under shear at a low viscosity ratio

    Yuriko Y Renardy;Michael Renardy;Vittorio Cristini

  • Two-Dimensional cusped interfaces

    Daniel D. Joseph;John Nelson;Michael Renardy;Yuriko Renardy

  • Symmetric factorization of the conformation tensor in viscoelastic fluid models

    Nusret Balci;Becca Thomases;Becca Thomases;Michael Renardy;Michael Renardy;Charles R. Doering

  • Existence of Slow Steady Flows of Viscoelastic Fluids with Differential Constitutive Equations

    M. Renardy

  • Hyperbolicity and change of type in the flow of viscoelastic fluids

    Unknown

  • Deformation of a hydrophobic ferrofluid droplet suspended in a viscous medium under uniform magnetic fields

    Yuriko Renardy;Shahriar Afkhami;Michael Renardy;Judy Riffle

Frequent Co-Authors

Yuriko Renardy
Yuriko Renardy Virginia Tech
Daniel D. Joseph
Daniel D. Joseph University of Minnesota
Peter A. Markowich
Peter A. Markowich King Abdullah University of Science and Technology
Charles R. Doering
Charles R. Doering University of Michigan–Ann Arbor
Radhakrishna Sureshkumar
Radhakrishna Sureshkumar Syracuse University
Ole Hassager
Ole Hassager Technical University of Denmark
Christophe Clanet
Christophe Clanet École Polytechnique
Stéphane Popinet
Stéphane Popinet Centre national de la recherche scientifique, CNRS
Hermann Haken
Hermann Haken University of Stuttgart
Gareth H. McKinley
Gareth H. McKinley MIT

External Links

Personal website of Michael Renardy Google Scholar page

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Related Online Degrees & Career Pathways

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Best Scientists Citing Michael Renardy

Yuriko Renardy

Yuriko Renardy

Virginia Tech

Publications: 51

Gareth H. McKinley

Gareth H. McKinley

MIT

Publications: 37

Daniel D. Joseph

Daniel D. Joseph

University of Minnesota

Publications: 37

Irena Lasiecka

Irena Lasiecka

University of Memphis

Publications: 36

Jaime E. Muñoz Rivera

Jaime E. Muñoz Rivera

Laboratório Nacional de Computação Científica

Publications: 30

John W. Barrett

John W. Barrett

University of Nottingham

Publications: 29

Radhakrishna Sureshkumar

Radhakrishna Sureshkumar

Syracuse University

Publications: 23

Kumbakonam R. Rajagopal

Kumbakonam R. Rajagopal

Texas A&M University

Publications: 22

Bao-Zhu Guo

Bao-Zhu Guo

University of the Witwatersrand

Publications: 21

Endre Süli

Endre Süli

University of Oxford

Publications: 21

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Bamin Khomami

University of Tennessee at Knoxville

Publications: 20

Stéphane Zaleski

Stéphane Zaleski

Sorbonne University

Publications: 19

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Yongping Chen

Yangzhou University

Publications: 18

Vittorino Pata

Vittorino Pata

Polytechnic University of Milan

Publications: 17

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Publications: 16

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Fernando T. Pinho

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