Alexandre N. Carvalho

4.0k total citations · 1 hit paper
112 papers, 2.7k citations indexed

About

Alexandre N. Carvalho is a scholar working on Control and Systems Engineering, Computational Theory and Mathematics and Applied Mathematics. According to data from OpenAlex, Alexandre N. Carvalho has authored 112 papers receiving a total of 2.7k indexed citations (citations by other indexed papers that have themselves been cited), including 100 papers in Control and Systems Engineering, 64 papers in Computational Theory and Mathematics and 47 papers in Applied Mathematics. Recurrent topics in Alexandre N. Carvalho's work include Stability and Controllability of Differential Equations (100 papers), Advanced Mathematical Modeling in Engineering (64 papers) and Advanced Mathematical Physics Problems (28 papers). Alexandre N. Carvalho is often cited by papers focused on Stability and Controllability of Differential Equations (100 papers), Advanced Mathematical Modeling in Engineering (64 papers) and Advanced Mathematical Physics Problems (28 papers). Alexandre N. Carvalho collaborates with scholars based in Brazil, Spain and Poland. Alexandre N. Carvalho's co-authors include José A. Langa, José M. Arrieta, James C. Robinson, Jan W. Cholewa, Anı́bal Rodrı́guez-Bernal, Tomasz Dłotko, Jack K. Hale, Tomás Caraballo, Stefanie Sonner and Sergey Piskarev and has published in prestigious journals such as Journal of Mathematical Analysis and Applications, Transactions of the American Mathematical Society and Journal of Differential Equations.

In The Last Decade

Alexandre N. Carvalho

103 papers receiving 2.4k citations

Hit Papers

align trajectories sort by overperformance

What are hit papers?

Hit papers significantly outperform the citation benchmark for their cohort. A paper qualifies if it has ≥500 total citations, achieves ≥1.5× the top-1% citation threshold for papers in the same subfield and year (this is the minimum needed to enter the top 1%, not the average within it), or reaches the top citation threshold in at least one of its specific research topics.

Attractors for infinite-dimensional non-autonomous dynamical systems

2012 390 citations Alexandre N. Carvalho, José A. Langa et al. profile →

Peers — A (Enhanced Table)

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

Name	h						Papers	Cites
Alexandre N. Carvalho Brazil	30	2.2k	1.6k	1.1k	982	575	112	2.7k
José A. Langa Spain	30	2.3k 1.0×	1.6k 1.0×	689 0.7×	591 0.6×	928 1.6×	108	2.8k
Vladimir V. Chepyzhov Russia	22	2.0k 0.9×	1.3k 0.8×	864 0.8×	737 0.8×	700 1.2×	88	2.3k
Eiji Yanagida Japan	24	488 0.2×	723 0.5×	1.1k 1.1×	605 0.6×	248 0.4×	120	1.8k
Caidi Zhao China	22	1.1k 0.5×	582 0.4×	527 0.5×	350 0.4×	419 0.7×	97	1.3k
Peter Poláčik United States	24	734 0.3×	902 0.6×	1.2k 1.1×	484 0.5×	151 0.3×	92	1.8k
Shengfan Zhou China	23	1.6k 0.7×	1.0k 0.6×	356 0.3×	428 0.4×	946 1.6×	113	1.9k
Yuri Latushkin United States	18	755 0.3×	473 0.3×	652 0.6×	559 0.6×	150 0.3×	75	1.3k
Pavol Quíttner Slovakia	23	701 0.3×	1.2k 0.8×	1.5k 1.5×	765 0.8×	51 0.1×	68	2.0k
Mark Vishik Russia	9	1.0k 0.5×	643 0.4×	448 0.4×	348 0.4×	358 0.6×	14	1.2k
Philippe Souplet France	30	968 0.4×	1.8k 1.2×	2.7k 2.6×	1.2k 1.3×	46 0.1×	103	3.5k

Countries citing papers authored by Alexandre N. Carvalho

Since Specialization

Citations

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

Fields of papers citing papers by Alexandre N. Carvalho

Since Specialization

Physical SciencesHealth SciencesLife SciencesSocial Sciences

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

Co-authorship network of co-authors of Alexandre N. Carvalho

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

All Works

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20 of 20 papers shown

Caraballo, Tomás, et al.. (2025). Weak Random Attractors for the Stochastic Three-Dimensional Navier–Stokes Equations with Multiplicative Noise. SIAM Journal on Mathematical Analysis. 57(4). 3718–3754.

Bonotto, Everaldo M., et al.. (2024). Lower Semicontinuity of Pullback Attractors for a Non-autonomous Coupled System of Strongly Damped Wave Equations. Applied Mathematics & Optimization. 90(1).

Carvalho, Alexandre N., et al.. (2022). Autonomous and Non-autonomous Unbounded Attractors in Evolutionary Problems. Journal of Dynamics and Differential Equations. 36(4). 3481–3534. 1 indexed citations

Carvalho, Alexandre N., et al.. (2021). Finite-dimensional negatively invariant subsets of Banach spaces. Journal of Mathematical Analysis and Applications. 509(2). 125945–125945. 2 indexed citations

Carvalho, Alexandre N., et al.. (2020). Attractors Under Autonomous and Non-autonomous Perturbations. Mathematical surveys and monographs. 28 indexed citations

Carvalho, Alexandre N., et al.. (2015). Strongly damped wave equation and its Yosida approximations. Topological Methods in Nonlinear Analysis. 1–1. 2 indexed citations

Carvalho, Alexandre N., et al.. (2013). Gradient-like nonlinear semigroups with infinitely many equilibria and applications to cascade systems. Topological Methods in Nonlinear Analysis. 42(2). 345–376. 3 indexed citations

Caraballo, Tomás, et al.. (2013). Non-autonomous Morse-decomposition and Lyapunov functions for gradient-like processes. Transactions of the American Mathematical Society. 365(10). 5277–5312. 14 indexed citations

Arrieta, José M., et al.. (2013). RATE OF CONVERGENCE OF GLOBAL ATTRACTORS OF SOME PERTURBED REACTION-DIFFUSION PROBLEMS. Topological Methods in Nonlinear Analysis. 41(2). 229–253. 3 indexed citations

10.

Caraballo, Tomás, et al.. (2012). Continuity of Lyapunov functions and of energy level for a generalized gradient semigroup. Topological Methods in Nonlinear Analysis. 39(1). 57–82. 13 indexed citations

11.

Carvalho, Alexandre N., José A. Langa, & James C. Robinson. (2010). Finite-dimensional global attractors in Banach spaces. Journal of Differential Equations. 249(12). 3099–3109. 4 indexed citations

12.

Arrieta, José M., et al.. (2009). Dynamics in dumbbell domains III. Continuity of attractors. Journal of Differential Equations. 247(1). 225–259. 40 indexed citations

13.

Carvalho, Alexandre N. & José A. Langa. (2009). An extension of the concept of gradient semigroups which is stable under perturbation. Journal of Differential Equations. 246(7). 2646–2668. 45 indexed citations

14.

Arrieta, José M., et al.. (2009). Dynamics in dumbbell domains II. The limiting problem. Journal of Differential Equations. 247(1). 174–202. 36 indexed citations

15.

Carvalho, Alexandre N. & Tomasz Dłotko. (2008). Dynamics of the viscous Cahn–Hilliard equation. Journal of Mathematical Analysis and Applications. 344(2). 703–725. 27 indexed citations

16.

Carvalho, Alexandre N., et al.. (2003). Asymptotic behaviour of non-linear parabolic equations with monotone principal part. Journal of Mathematical Analysis and Applications. 280(2). 252–272. 44 indexed citations

17.

Carvalho, Alexandre N. & Jan W. Cholewa. (2002). Local well posedness for strongly damped wave equations with critical nonlinearities. Bulletin of the Australian Mathematical Society. 66(3). 443–463. 73 indexed citations

18.

Carvalho, Alexandre N., Jan W. Cholewa, & Tomasz Dłotko. (1999). Global attractors for problems with monotone operators. Bollettino Della Unione Matematica Italiana. 693–706. 38 indexed citations

19.

Carvalho, Alexandre N., et al.. (1998). Upper Semicontinuity of Attractors and Synchronization. Journal of Mathematical Analysis and Applications. 220(1). 13–41. 45 indexed citations

20.

Carvalho, Alexandre N.. (1997). Parabolic Problems with Nonlinear Boundary Conditions in Cell Tissues. 3(1). 123–138. 4 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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