Ángel Castro

1.2k total citations
26 papers, 525 citations indexed

About

Ángel Castro is a scholar working on Applied Mathematics, Mathematical Physics and Computational Mechanics. According to data from OpenAlex, Ángel Castro has authored 26 papers receiving a total of 525 indexed citations (citations by other indexed papers that have themselves been cited), including 21 papers in Applied Mathematics, 15 papers in Mathematical Physics and 9 papers in Computational Mechanics. Recurrent topics in Ángel Castro's work include Navier-Stokes equation solutions (18 papers), Advanced Mathematical Physics Problems (13 papers) and Nonlinear Partial Differential Equations (6 papers). Ángel Castro is often cited by papers focused on Navier-Stokes equation solutions (18 papers), Advanced Mathematical Physics Problems (13 papers) and Nonlinear Partial Differential Equations (6 papers). Ángel Castro collaborates with scholars based in Spain, United States and France. Ángel Castro's co-authors include Diego Córdoba, Francisco Gancedo, Charles Fefferman, Javier Gómez-Serrano, David Lannes, Maŕıa López-Fernández, Daniel Faraco and Rafael Orive and has published in prestigious journals such as Proceedings of the National Academy of Sciences, Journal of Fluid Mechanics and Communications in Mathematical Physics.

In The Last Decade

Ángel Castro

25 papers receiving 493 citations

Peers

Ángel Castro

SNP

CTM

Thomas Alazard France

Francisco Gancedo Spain

Claude Zuily France

Javier Gómez-Serrano United States

Georg S. Weiss Germany

Fabio Pusateri United States

Boris Buffoni Switzerland

Borys Álvarez-Samaniego France

Robin Ming Chen United States

Thomas Alazard France

Ángel Castro

306 ×0.8

263 ×1.0

140 ×0.9

74 ×0.8

SNP

54 ×0.7

CTM

Citations per year, relative to Ángel Castro Ángel Castro (= 1×) peers Thomas Alazard

Countries citing papers authored by Ángel Castro

Since Specialization

Citations

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

Fields of papers citing papers by Ángel Castro

Since Specialization

Physical SciencesHealth SciencesLife SciencesSocial Sciences

This network shows the impact of papers produced by Ángel Castro. 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 Ángel Castro. The network helps show where Ángel Castro may publish in the future.

Co-authorship network of co-authors of Ángel Castro

This figure shows the co-authorship network connecting the top 25 collaborators of Ángel Castro. A scholar is included among the top collaborators of Ángel Castro 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 Ángel Castro. Ángel Castro 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

Castro, Ángel, et al.. (2025). Entropy solutions to the macroscopic incompressible porous media equation. Analysis & PDE. 18(9). 2241–2292.

Castro, Ángel, et al.. (2024). Correction to: Traveling Waves Near Couette Flow for the 2D Euler Equation. Communications in Mathematical Physics. 406(1). 2 indexed citations

Castro, Ángel, et al.. (2023). Traveling Waves Near Couette Flow for the 2D Euler Equation. Communications in Mathematical Physics. 400(3). 2005–2079. 7 indexed citations

Castro, Ángel, et al.. (2022). Localized Mixing Zone for Muskat Bubbles and Turned Interfaces. DIGITAL.CSIC (Spanish National Research Council (CSIC)). 8(1). 11 indexed citations

Castro, Ángel, et al.. (2020). Degraded mixing solutions for the Muskat problem. DIGITAL.CSIC (Spanish National Research Council (CSIC)). 22 indexed citations

Castro, Ángel. (2018). Mixing solutions for IPM. Journées Équations aux dérivées partielles. 1–13. 1 indexed citations

Castro, Ángel, Diego Córdoba, Charles Fefferman, Francisco Gancedo, & Javier Gómez-Serrano. (2016). Finite time singularities for the free boundary incompressible Euler equations. LA Referencia (Red Federada de Repositorios Institucionales de Publicaciones Científicas). 52 indexed citations

Castro, Ángel, Diego Córdoba, Charles Fefferman, Francisco Gancedo, & Javier Gómez-Serrano. (2016). Finite time singularities for water waves with surface tension. LA Referencia (Red Federada de Repositorios Institucionales de Publicaciones Científicas). 9 indexed citations

Castro, Ángel, Diego Córdoba, Charles Fefferman, Francisco Gancedo, & Javier Gómez-Serrano. (2016). Structural stability for the splash singularities of the water waves problem. LA Referencia (Red Federada de Repositorios Institucionales de Publicaciones Científicas). 6 indexed citations

10.

Castro, Ángel, Diego Córdoba, Francisco Gancedo, & Rafael Orive. (2016). Incompressible flow in porous media with fractional diffusion. LA Referencia (Red Federada de Repositorios Institucionales de Publicaciones Científicas). 9 indexed citations

11.

Castro, Ángel, Diego Córdoba, Charles Fefferman, & Francisco Gancedo. (2016). Splash Singularities for the One-Phase Muskat Problem in Stable Regimes. Archive for Rational Mechanics and Analysis. 222(1). 213–243. 22 indexed citations

12.

Castro, Ángel & David Lannes. (2014). Fully nonlinear long-wave models in the presence of vorticity. Journal of Fluid Mechanics. 759. 642–675. 43 indexed citations

13.

Castro, Ángel, Diego Córdoba, Charles Fefferman, & Francisco Gancedo. (2013). Breakdown of Smoothness for the Muskat Problem. Archive for Rational Mechanics and Analysis. 208(3). 805–909. 41 indexed citations

14.

Castro, Ángel, Diego Córdoba, Charles Fefferman, Francisco Gancedo, & Javier Gómez-Serrano. (2012). Splash singularity for water waves. Proceedings of the National Academy of Sciences. 109(3). 733–738. 24 indexed citations

15.

Castro, Ángel, Diego Córdoba, Charles Fefferman, Francisco Gancedo, & Maŕıa López-Fernández. (2011). Turning waves and breakdown for incompressible flows. Proceedings of the National Academy of Sciences. 108(12). 4754–4759. 8 indexed citations

16.

Castro, Ángel & Diego Córdoba. (2010). Infinite energy solutions of the surface quasi-geostrophic equation. Advances in Mathematics. 225(4). 1820–1829. 40 indexed citations

17.

Castro, Ángel, Diego Córdoba, & Francisco Gancedo. (2010). Singularity formations for a surface wave model. Nonlinearity. 23(11). 2835–2847. 25 indexed citations

18.

Castro, Ángel, Diego Córdoba, & Francisco Gancedo. (2010). Some recent results on the Muskat problem. Journées Équations aux dérivées partielles. 1–14. 3 indexed citations

19.

Castro, Ángel & Diego Córdoba. (2009). Self-similar solutions for a transport equation with non-local flux. Chinese Annals of Mathematics Series B. 30(5). 505–512. 7 indexed citations

20.

Castro, Ángel & Diego Córdoba. (2008). Global existence, singularities and ill-posedness for a nonlocal flux. Advances in Mathematics. 219(6). 1916–1936. 28 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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