World's Best Scientists 2026 revealed!
Alexandre N. Carvalho

Alexandre N. Carvalho

D-Index & Metrics

Mathematics

D-Index
33
Citations
4706
World Ranking
3046
National Ranking
30

Alexandre N. Carvalho 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 Alexandre N. Carvalho 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: 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 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: 163 publications — 45th percentile

45% of scientists in this discipline score the same or lower.

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

Alexandre N. Carvalho 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 Alexandre N. Carvalho 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: 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: 33 D-Index — 17th percentile

17% of scientists in this discipline score the same or lower.

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

Overview

Alexandre N. Carvalho is affiliated with Universidade de São Paulo in Brazil. Their research spans several fields, predominantly Mathematics, Engineering, and Computer Science, with a strong focus on applied and theoretical aspects.

The scientist's work covers notable subfields, including Applied Mathematics, Control and Systems Engineering, Computational Theory and Mathematics, Mathematical Physics, and Computer Networks and Communications.

The main topics addressed in their research include:

  • Stability and Controllability of Differential Equations
  • Advanced Mathematical Modeling in Engineering
  • Advanced Mathematical Physics Problems
  • Nonlinear Differential Equations Analysis
  • Nonlinear Partial Differential Equations
  • Differential Equations and Boundary Problems
  • Navier-Stokes equation solutions

Carvalho has collaborated frequently with various researchers. Among the most common coauthors are:

  • Matheus C. Bortolan
  • José A. Langa
  • Tomás Caraballo
  • José Langa
  • Alexandre N. Oliveira-Sousa

Publication venues favored by Carvalho include a range of journals and archives. The most frequent places of publication are:

  • arXiv (Cornell University)
  • Journal of Differential Equations
  • Journal of Mathematical Analysis and Applications
  • Matemática Contemporânea
  • Discrete and Continuous Dynamical Systems - B

Recent published papers illustrate the research themes and scope of Carvalho's work. These include:

  • "Fractional approximations of abstract semilinear parabolic problems" (2020), published in Discrete and Continuous Dynamical Systems - B
  • "Lipschitz perturbations of Morse-Smale semigroups" (2020), published in Journal of Differential Equations
  • "Smoothing and finite-dimensionality of uniform attractors in Banach spaces" (2021), published in Journal of Differential Equations
  • "A non-autonomous bifurcation problem for a non-local scalar one-dimensional parabolic equation" (2020), published in Communications on Pure & Applied Analysis
  • "Nonautonomous Perturbations of Morse-Smale Semigroups: Stability of the Phase Diagram" (2021), published in Journal of Dynamics and Differential Equations

Carvalho has authored at least one book titled Attractors Under Autonomous and Non-autonomous Perturbations, published in 2020 by Mathematical Surveys and Monographs.

Best Publications

  • Attractors for infinite-dimensional non-autonomous dynamical systems

    Alexandre N. Carvalho;Jose A. Langa;James C. Robinson

  • A damped hyerbolic equation with critical exponent

    José Arrieta;Alexander N. Carvalho;Jack K. Hale

  • Abstract parabolic problems with critical nonlinearities and applications to Navier-Stokes and heat equations

    José M. Arrieta;Alexandre N. Carvalho

  • Parabolic problems with nonlinear boundary conditions and critical nonlinearities

    José M Arrieta;Alexandre N Carvalho;Anibal Rodrı́guez-Bernal

  • Attractors of parabolic problems with nonlinear boundary conditions. uniform bounds

    José María Arrieta Algarra;Alexandre N. Carvalho;Aníbal Rodríguez Bernal

  • Attractors for Strongly Damped Wave Equations with Critical Nonlinearities

    Alexandre N. Carvalho;J. A. N. W. Cholewa

  • LOCAL WELL POSEDNESS FOR STRONGLY DAMPED WAVE EQUATIONS WITH CRITICAL NONLINEARITIES

    Alexandre N. Carvalho;Jan W. Cholewa

  • Spectral convergence and nonlinear dynamics of reaction–diffusion equations under perturbations of the domain

    José M. Arrieta;Alexandre Nolasco de Carvalho

  • Dynamics in dumbbell domains I. Continuity of the set of equilibria

    José M Arrieta;Alexandre Nolasco de Carvalho;German Lozada-Cruz

  • A General Approximation Scheme for Attractors of Abstract Parabolic Problems

    Alexandre N. Carvalho;Sergey Piskarev

  • Semilinear parabolic problems in thin domains with a highly oscillatory boundary

    José M. Arrieta;Alexandre N. Carvalho;Marcone C. Pereira;Ricardo P. Silva

  • An extension of the concept of gradient semigroups which is stable under perturbation

    Alexandre Nolasco de Carvalho;José A. Langa

  • Existence of pullback attractors for pullback asymptotically compact processes

    Tomás Caraballo;Alexandre N. Carvalho;José A. Langa;Felipe Rivero

  • Characterization of non-autonomous attractors of a perturbed infinite-dimensional gradient system

    Alexandre Nolasco de Carvalho;José A. Langa;James C. Robinson;Antonio Suarez

  • DYNAMICS IN DUMBBELL DOMAINS II. THE LIMITING PROBLEM

    Jose M. Arrieta;Alexandre N. Carvalho;German Jesus Lozada-Cruz

  • Dynamics in dumbbell domains III. Continuity of attractors

    Jose M. Arrieta;Alexandre N. Carvalho;German Jesus Lozada-Cruz

  • Strongly damped wave problems: Bootstrapping and regularity of solutions

    A.N. Carvalho;J.W. Cholewa;Tomasz Dlotko

  • Upper Semicontinuity of Attractors and Synchronization

    Alexandre N Carvalho;Hildebrando M Rodrigues;Tomasz Dłotko

  • Stability of gradient semigroups under perturbations

    Éder Ritis Aragão-Costa;Tomás Caraballo;Alexandre Nolasco de Carvalho;Jose Antonio Langa

  • Attractors for Parabolic Problems with Nonlinear Boundary Conditions

    Alexandre Nolasco de Carvalho;Sergio Muniz Oliva;Antonio Luiz Pereira;Anibal Rodriguez-Bernal

  • Global attractors for problems with monotone operators

    Alexandre N. Carvalho;Jan W. Cholewa;Tomasz Dlotko

Frequent Co-Authors

José A. Langa
José A. Langa University of Seville
James C. Robinson
James C. Robinson University of California, Berkeley
Tomás Caraballo
Tomás Caraballo University of Seville
José Valero
José Valero Miguel Hernandez University
Thierry Cazenave
Thierry Cazenave Sorbonne University
Somik V. Lall
Somik V. Lall World Bank
Jack K. Hale
Jack K. Hale Georgia Institute of Technology

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