World's Best Scientists 2026 revealed!

D-Index & Metrics

Mathematics

D-Index
37
Citations
4469
World Ranking
2548
National Ranking
1054

Igor Kukavica 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 Igor Kukavica sits on this spectrum.

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: 82 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 scientists 507–511 publications: 6 scientists 512–516 publications: 4 scientists 517–521 publications: 1 scientists 522–526 publications: 3 scientists 527–531 publications: 1 scientists 532–536 publications: 4 scientists 537+ publications: 100 scientists
42 publications 537+

This scientist: 185 publications — 56th percentile

56% of scientists in this discipline score the same or lower.

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

Igor Kukavica 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 Igor Kukavica sits on this spectrum.

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: 137 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: 37 D-Index — 33rd percentile

33% of scientists in this discipline score the same or lower.

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

Research.com Recognitions

  • 2018 - Fellow of the American Mathematical Society For contributions to nonlinear partial differential equations, mentoring, and service to the profession.
  • 2000 - Fellow of Alfred P. Sloan Foundation

Overview

Igor Kukavica is affiliated with the University of Southern California in the United States and has contributed extensively to the fields of Mathematics and Engineering, with a significant focus on Applied Mathematics, Computational Mechanics, Mathematical Physics, Control and Systems Engineering, and Computational Theory and Mathematics.

The scientist's primary research topics include:

  • Navier-Stokes equation solutions
  • Advanced Mathematical Physics Problems
  • Stability and Controllability of Differential Equations
  • Fluid Dynamics and Turbulent Flows
  • Advanced Mathematical Modeling in Engineering
  • Computational Fluid Dynamics and Aerodynamics
  • Stochastic processes and financial applications

Kukavica's recent published papers include:

  • "The Inviscid Limit for the Navier-Stokes Equations with Data Analytic Only Near the Boundary" (2020) in Archive for Rational Mechanics and Analysis
  • "On the Global Existence for the Kuramoto-Sivashinsky Equation" (2021) in Journal of Dynamics and Differential Equations
  • "On the Euler+Prandtl Expansion for the Navier-Stokes Equations" (2022) in Journal of Mathematical Fluid Mechanics
  • "Exact boundary controllability for the ideal magneto-hydrodynamic equations" (2022) in Journal of Differential Equations
  • "Asymptotic properties of the Boussinesq equations with Dirichlet boundary conditions" (2023) in Discrete and Continuous Dynamical Systems

Frequent co-authors of this researcher include:

  • Amjad Tuffaha
  • Wojciech S. Ożański
  • Mustafa Sencer Aydın
  • Juhi Jang
  • Linfeng Li

The main venues where Kukavica publishes are:

  • arXiv (Cornell University)
  • Journal of Differential Equations
  • Archive for Rational Mechanics and Analysis
  • Journal of Mathematical Fluid Mechanics
  • Discrete and Continuous Dynamical Systems

Recognitions awarded to Igor Kukavica include becoming a Fellow of the American Mathematical Society in 2018, noted for contributions to nonlinear partial differential equations, mentoring, and service to the profession. Earlier, this scientist was also named a Fellow of the Alfred P. Sloan Foundation in 2000.

Best Publications

  • On the regularity of the primitive equations of the ocean

    Igor Kukavica;Mohammed Ziane

  • Navier-Stokes equations with regularity in one direction

    Igor Kukavica;Mohammed Ziane

  • One component regularity for the Navier–Stokes equations

    Igor Kukavica;Mohammed Ziane

  • Space Analyticity for the Navier–Stokes and Related Equations with Initial Data inLp

    Zoran Grujić;Igor Kukavica;Igor Kukavica

  • On the local existence of analytic solutions to the Prandtl boundary layer equations

    Igor Kukavica;Vlad Vicol

  • Quantitative uniqueness for second-order elliptic operators

    Igor Kukavica

  • ON THE LOCAL WELL-POSEDNESS OF THE PRANDTL AND HYDROSTATIC EULER EQUATIONS WITH MULTIPLE MONOTONICITY REGIONS ∗

    Igor Kukavica;Nader Masmoudi;Vlad Vicol;Tak Kwong Wong

  • On the radius of analyticity of solutions to the three-dimensional Euler equations

    Igor Kukavica;Vlad Vicol

  • Local existence and uniqueness for the hydrostatic Euler equations on a bounded domain

    Igor Kukavica;Roger Temam;Vlad C. Vicol;Mohammed Ziane

  • SOLUTIONS TO A FLUID-STRUCTURE INTERACTION FREE BOUNDARY PROBLEM

    Igor Kukavica;Amjad Tuffaha

  • On well-posedness and small data global existence for an interface damped free boundary fluid?structure model

    Mihaela Ignatova;Igor Kukavica;Irena Lasiecka;Irena Lasiecka;Amjad Tuffaha

  • On the inviscid limit of the Navier-Stokes equations

    Peter Constantin;Igor Kukavica;Vlad Vicol

  • Existence and Regularity of Invariant Measures for the Three Dimensional Stochastic Primitive Equations

    Nathan Glatt-Holtz;Igor Kukavica;Vlad Vicol;Mohamme D Ziane

  • The regularity of solutions of the primitive equations of the ocean in space dimension three

    Igor Kukavica;Mohammed Ziane

  • The fractal dimension of the singular set for solutions of the Navier-Stokes system

    Igor Kukavica

  • On the dissipative scale for the Navier-Stokes equation

    Igor Kukavica

  • The van Dommelen and Shen singularity in the Prandtl equations

    Igor Kukavica;Vlad Vicol;Fei Wang

  • On the regularity for the Boussinesq equations in a bounded domain

    Weiwei Hu;Igor Kukavica;Mohammed Ziane

  • THE DOMAIN OF ANALYTICITY OF SOLUTIONS TO THE THREE-DIMENSIONAL EULER EQUATIONS IN A HALF SPACE

    Igor Kukavica;Vlad C. Vicol

  • Unique continuation on the boundary for Dini domains

    Igor Kukavica;Igor Kukavica;Kaj Nyström

  • Space Analyticity for the NavierStokes and Related Equations with Initial Data in L p

    Zoran Grujic;Igor Kukavica

Frequent Co-Authors

Vlad Vicol
Vlad Vicol Courant Institute of Mathematical Sciences
Irena Lasiecka
Irena Lasiecka University of Memphis
Roberto Triggiani
Roberto Triggiani University of Memphis
Roger Temam
Roger Temam Indiana University
Peter Constantin
Peter Constantin Princeton University
Barbara Kaltenbacher
Barbara Kaltenbacher University of Klagenfurt
Ciprian Foias
Ciprian Foias Texas A&M University
Nader Masmoudi
Nader Masmoudi Courant Institute of Mathematical Sciences
Alain Bensoussan
Alain Bensoussan The University of Texas at Dallas

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