Daniel Faraco

870 total citations
32 papers, 397 citations indexed

About

Daniel Faraco is a scholar working on Applied Mathematics, Mathematical Physics and Computational Theory and Mathematics. According to data from OpenAlex, Daniel Faraco has authored 32 papers receiving a total of 397 indexed citations (citations by other indexed papers that have themselves been cited), including 23 papers in Applied Mathematics, 14 papers in Mathematical Physics and 13 papers in Computational Theory and Mathematics. Recurrent topics in Daniel Faraco's work include Nonlinear Partial Differential Equations (12 papers), Numerical methods in inverse problems (11 papers) and Advanced Mathematical Modeling in Engineering (10 papers). Daniel Faraco is often cited by papers focused on Nonlinear Partial Differential Equations (12 papers), Numerical methods in inverse problems (11 papers) and Advanced Mathematical Modeling in Engineering (10 papers). Daniel Faraco collaborates with scholars based in Spain, Finland and Germany. Daniel Faraco's co-authors include Sergio Conti, László Székelyhidi, Alberto Ruiz, Francesco Maggi, Xiao Zhong, Kari Astala, Ángel Castro, Keith M. Rogers, Francisco Gancedo and Diego Córdoba and has published in prestigious journals such as Communications on Pure and Applied Mathematics, Archive for Rational Mechanics and Analysis and Advances in Mathematics.

In The Last Decade

Daniel Faraco

30 papers receiving 358 citations

Peers — A (Enhanced Table)

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

Name h Career Trend Papers Cites
Daniel Faraco Spain 12 237 194 166 70 52 32 397
Rolando Magnanini Italy 11 261 1.1× 254 1.3× 191 1.2× 47 0.7× 26 0.5× 46 413
Irina Mitrea United States 13 281 1.2× 248 1.3× 184 1.1× 50 0.7× 12 0.2× 49 403
Dorina Mitrea United States 15 701 3.0× 436 2.2× 489 2.9× 73 1.0× 28 0.5× 56 887
Luca Martinazzi Italy 9 461 1.9× 319 1.6× 232 1.4× 37 0.5× 53 1.0× 21 510
Xiao Zhong Finland 14 497 2.1× 280 1.4× 191 1.2× 62 0.9× 179 3.4× 36 641
V. G. Mazʹi︠a︡ 5 125 0.5× 233 1.2× 175 1.1× 110 1.6× 8 0.2× 9 346
Max Jodeit United States 11 350 1.5× 224 1.2× 232 1.4× 45 0.6× 34 0.7× 22 512
Mirela Kohr Romania 18 533 2.2× 340 1.8× 177 1.1× 136 1.9× 283 5.4× 80 803
Giulio Ciraolo Italy 12 261 1.1× 229 1.2× 182 1.1× 37 0.5× 11 0.2× 38 377
Mi-Ho Giga Japan 6 170 0.7× 123 0.6× 96 0.6× 15 0.2× 27 0.5× 9 303

Countries citing papers authored by Daniel Faraco

Since Specialization
Citations

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

Fields of papers citing papers by Daniel Faraco

Since Specialization
Physical SciencesHealth SciencesLife SciencesSocial Sciences

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

Co-authorship network of co-authors of Daniel Faraco

This figure shows the co-authorship network connecting the top 25 collaborators of Daniel Faraco. A scholar is included among the top collaborators of Daniel Faraco 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 Daniel Faraco. Daniel Faraco 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.
Castro, Ángel, et al.. (2025). Entropy solutions to the macroscopic incompressible porous media equation. Analysis & PDE. 18(9). 2241–2292.
2.
Castro, Ángel de, et al.. (2025). A proof of Vishik’s nonuniqueness theorem for the forced 2D Euler equation. Journal für die reine und angewandte Mathematik (Crelles Journal). 3 indexed citations
3.
Faraco, Daniel, et al.. (2022). On the proof of Taylor's conjecture in multiply connected domains. Institutional Research Information System (Università degli Studi di Trento). 6 indexed citations
4.
Faraco, Daniel, et al.. (2022). Rigorous results on conserved and dissipated quantities in ideal MHD turbulence. Geophysical & Astrophysical Fluid Dynamics. 116(4). 237–260. 6 indexed citations
5.
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
6.
Faraco, Daniel, et al.. (2021). Remarks On Ornstein’s Non-Inequality In ℝ2×2. The Quarterly Journal of Mathematics. 73(1). 17–21. 4 indexed citations
7.
Castro, Ángel, et al.. (2020). Degraded mixing solutions for the Muskat problem. DIGITAL.CSIC (Spanish National Research Council (CSIC)). 22 indexed citations
8.
Córdoba, Diego, Daniel Faraco, & Francisco Gancedo. (2016). Lack of uniqueness for weak solutions of the incompressible porous media equation. LA Referencia (Red Federada de Repositorios Institucionales de Publicaciones Científicas). 26 indexed citations
9.
Faraco, Daniel & Keith M. Rogers. (2012). THE SOBOLEV NORM OF CHARACTERISTIC FUNCTIONS WITH APPLICATIONS TO THE CALDERON INVERSE PROBLEM. The Quarterly Journal of Mathematics. 64(1). 133–147. 20 indexed citations
10.
Faraco, Daniel, et al.. (2009). Beltrami equations with coefficient in the Sobolev space $W^{1,p}$. Publicacions Matemàtiques. 53. 197–230. 15 indexed citations
11.
Astala, Kari, Daniel Faraco, & László Székelyhidi. (2009). Convex integration and the Lp theory of elliptic equations. ANNALI SCUOLA NORMALE SUPERIORE - CLASSE DI SCIENZE. 1–50. 23 indexed citations
12.
Barceló, Juan Antonio, Daniel Faraco, Alberto Ruiz, & Ana Vargas. (2009). Reconstruction of singularities from full scattering data by new estimates of bilinear Fourier multipliers. Mathematische Annalen. 346(3). 505–544. 9 indexed citations
13.
Faraco, Daniel & László Székelyhidi. (2008). Tartar’s conjecture and localization of the quasiconvex hull in $ \mathbb{R}^{{2 \times 2}} $. Acta Mathematica. 200(2). 279–305. 17 indexed citations
14.
Faraco, Daniel, et al.. (2007). Stability of Calderón inverse conductivity problem in the plane. Journal de Mathématiques Pures et Appliquées. 88(6). 522–556. 27 indexed citations
15.
Faraco, Daniel, et al.. (2005). Beltrami equations with coecient in the Sobolev space. 1 indexed citations
16.
Conti, Sergio, Daniel Faraco, & Francesco Maggi. (2004). A New Approach to Counterexamples to L1 Estimates: Korn?s Inequality, Geometric Rigidity, and Regularity for Gradients of Separately Convex Functions. Archive for Rational Mechanics and Analysis. 175(2). 287–300. 55 indexed citations
17.
Faraco, Daniel, Pekka Koskela, & Xiao Zhong. (2004). Mappings of finite distortion: the degree of regularity. Advances in Mathematics. 190(2). 300–318. 24 indexed citations
18.
Faraco, Daniel. (2003). Milton’s conjecture on the regularity of solutions to isotropic equations. Annales de l Institut Henri Poincaré C Analyse Non Linéaire. 20(5). 889–909. 21 indexed citations
19.
Astala, Kari & Daniel Faraco. (2002). Quasiregular mappings and Young measures. Proceedings of the Royal Society of Edinburgh Section A Mathematics. 132(5). 1045–1056. 2 indexed citations
20.
Astala, Kari & Daniel Faraco. (2002). Quasiregular mappings and Young measures. Proceedings of the Royal Society of Edinburgh Section A Mathematics. 132(5). 1045–1056. 14 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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2026