Anı́bal Rodrı́guez-Bernal

1.7k total citations
89 papers, 1.2k citations indexed

About

Anı́bal Rodrı́guez-Bernal is a scholar working on Computational Theory and Mathematics, Control and Systems Engineering and Applied Mathematics. According to data from OpenAlex, Anı́bal Rodrı́guez-Bernal has authored 89 papers receiving a total of 1.2k indexed citations (citations by other indexed papers that have themselves been cited), including 64 papers in Computational Theory and Mathematics, 63 papers in Control and Systems Engineering and 47 papers in Applied Mathematics. Recurrent topics in Anı́bal Rodrı́guez-Bernal's work include Advanced Mathematical Modeling in Engineering (64 papers), Stability and Controllability of Differential Equations (61 papers) and Nonlinear Partial Differential Equations (28 papers). Anı́bal Rodrı́guez-Bernal is often cited by papers focused on Advanced Mathematical Modeling in Engineering (64 papers), Stability and Controllability of Differential Equations (61 papers) and Nonlinear Partial Differential Equations (28 papers). Anı́bal Rodrı́guez-Bernal collaborates with scholars based in Spain, Poland and United Kingdom. Anı́bal Rodrı́guez-Bernal's co-authors include José M. Arrieta, Alexandre N. Carvalho, Jan W. Cholewa, Tomasz Dłotko, Bixiang Wang, James C. Robinson, Enrique Zuazua, Erik S. Van Vleck, Rosa Pardo and José A. Langa and has published in prestigious journals such as Journal of Mathematical Analysis and Applications, Journal of Differential Equations and SIAM Journal on Applied Mathematics.

In The Last Decade

Anı́bal Rodrı́guez-Bernal

86 papers receiving 1.1k citations

Peers

Anı́bal Rodrı́guez-Bernal
Pedro Marín-Rubio Spain
Jong Uhn Kim United States
Mark Vishik Russia
Chunyou Sun China
El Hassan Zerrik Morocco
Angelo Favini Italy
Marius Ghergu Romania
Cristina Pignotti Italy
Sergiu Aizicovici United States
Sergio Guerrero France
Pedro Marín-Rubio Spain
Anı́bal Rodrı́guez-Bernal
Citations per year, relative to Anı́bal Rodrı́guez-Bernal Anı́bal Rodrı́guez-Bernal (= 1×) peers Pedro Marín-Rubio

Countries citing papers authored by Anı́bal Rodrı́guez-Bernal

Since Specialization
Citations

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

Fields of papers citing papers by Anı́bal Rodrı́guez-Bernal

Since Specialization
Physical SciencesHealth SciencesLife SciencesSocial Sciences

This network shows the impact of papers produced by Anı́bal Rodrı́guez-Bernal. 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 Anı́bal Rodrı́guez-Bernal. The network helps show where Anı́bal Rodrı́guez-Bernal may publish in the future.

Co-authorship network of co-authors of Anı́bal Rodrı́guez-Bernal

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

All Works

20 of 20 papers shown
1.
Rodrı́guez-Bernal, Anı́bal, et al.. (2025). Asymptotic behaviour of the heat equation in an exterior domain with general boundary conditions I. The case of integrable data. Journal of Differential Equations. 424. 229–262. 1 indexed citations
2.
Rodrı́guez-Bernal, Anı́bal, et al.. (2024). A nonlinear damped transmission problem as limit of wave equations with concentrating nonlinear terms away from the boundary. Nonlinear Analysis. 241. 113492–113492.
3.
Rodrı́guez-Bernal, Anı́bal, et al.. (2024). On the loss of mass for the heat equation in an exterior domain with general boundary conditions. São Paulo Journal of Mathematical Sciences. 18(2). 1055–1080. 1 indexed citations
4.
Robinson, James C. & Anı́bal Rodrı́guez-Bernal. (2023). Estimates for the Heat Flow in Optimal Spaces of Unbounded Initial Data in $$\mathbb {R}^{{d}}$$ and Applications to the Ornstein–Uhlenbeck Semigroup. Mediterranean Journal of Mathematics. 20(2).
5.
Cholewa, Jan W. & Anı́bal Rodrı́guez-Bernal. (2023). On linear higher-order parabolic equations in Morrey spaces. Analysis and Applications. 21(6). 1561–1608. 2 indexed citations
6.
Robinson, James C. & Anı́bal Rodrı́guez-Bernal. (2022). Linear Non-Autonomous Heat Flow in $$L_0^1({{\mathbb {R}}}^{d})$$ and Applications to Elliptic Equations in $${{\mathbb {R}}}^{d}$$. Journal of Dynamics and Differential Equations. 36(3). 2111–2152. 1 indexed citations
7.
Cholewa, Jan W. & Anı́bal Rodrı́guez-Bernal. (2022). On some PDEs involving homogeneous operators. Spectral analysis, semigroups and Hardy inequalities. Journal of Differential Equations. 315. 1–56. 3 indexed citations
8.
Rodrı́guez-Bernal, Anı́bal, et al.. (2019). Interaction of localized large diffusion and boundary conditions. Journal of Differential Equations. 267(5). 2687–2736. 1 indexed citations
9.
Rodrı́guez-Bernal, Anı́bal, et al.. (2017). Some general models of traffic flow in an isolated network. Mathematical Methods in the Applied Sciences. 40(11). 3982–4000. 1 indexed citations
10.
Rodrı́guez-Bernal, Anı́bal. (2016). The Heat Equaton with General Periodic Boundary Conditions. Potential Analysis. 46(2). 295–321. 1 indexed citations
11.
Rodrı́guez-Bernal, Anı́bal, et al.. (2016). Second order linear parabolic equations in uniform spaces in $${\varvec{\mathbb {R}^{N}}}$$ R N. Revista Matemática Complutense. 30(1). 63–78. 1 indexed citations
12.
Rodrı́guez-Bernal, Anı́bal, et al.. (2011). Singular limit for a nonlinear parabolic equation with terms concentrating on the boundary. Journal of Mathematical Analysis and Applications. 379(2). 567–588. 14 indexed citations
13.
Langa, José A., Anı́bal Rodrı́guez-Bernal, & António Suárez. (2010). On the long time behavior of non-autonomous Lotka–Volterra models with diffusion via the sub-supertrajectory method. Journal of Differential Equations. 249(2). 414–445. 11 indexed citations
14.
Rodrı́guez-Bernal, Anı́bal, et al.. (2008). Extremal equilibria for reaction–diffusion equations in bounded domains and applications. Journal of Differential Equations. 244(12). 2983–3030. 16 indexed citations
15.
Arrieta, José M., Rosa Pardo, & Anı́bal Rodrı́guez-Bernal. (2008). Equilibria and global dynamics of a problem with bifurcation from infinity. Journal of Differential Equations. 246(5). 2055–2080. 13 indexed citations
16.
Robinson, James C., et al.. (2007). Pullback attractors and extremal complete trajectories for non-autonomous reaction–diffusion problems. Journal of Differential Equations. 238(2). 289–337. 22 indexed citations
17.
Rodrı́guez-Bernal, Anı́bal. (2002). Attractors for Parabolic Equations with Nonlinear Boundary Conditions, Critical Exponents, and Singular Initial Data. Journal of Differential Equations. 181(1). 165–196. 26 indexed citations
18.
Rodrı́guez-Bernal, Anı́bal, et al.. (2001). Nonlinear Balance for Reaction-Diffusion Equations under Nonlinear Boundary Conditions: Dissipativity and Blow-up. Journal of Differential Equations. 169(2). 332–372. 53 indexed citations
19.
Rodrı́guez-Bernal, Anı́bal. (1995). Attractors and Inertial Manifolds for the Dynamics of a Closed Thermosiphon. Journal of Mathematical Analysis and Applications. 193(3). 942–965. 14 indexed citations
20.
Rodrı́guez-Bernal, Anı́bal. (1993). On the construction of inertial manifolds under symmetry constraints. II: O(2) constraint and inertial manifolds on thin domains. Journal de Mathématiques Pures et Appliquées. 72(1). 57–79. 2 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.

Explore authors with similar magnitude of impact

Breakdown of academic impact, for papers by Pedro Marín-Rubio Breakdown of academic impact, for papers by Jong Uhn Kim Breakdown of academic impact, for papers by Mark Vishik Breakdown of academic impact, for papers by Chunyou Sun Breakdown of academic impact, for papers by El Hassan Zerrik Breakdown of academic impact, for papers by Angelo Favini Breakdown of academic impact, for papers by Marius Ghergu Breakdown of academic impact, for papers by Cristina Pignotti Breakdown of academic impact, for papers by Sergiu Aizicovici Breakdown of academic impact, for papers by Sergio Guerrero
Rankless by CCL
2026