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Impact on the Sustainable Development Goals (SDGs)

Analysis of institutional authors

Gárriz AAuthorQuirós FAuthorRossi JdAuthor

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July 1, 2020
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Coupling local and nonlocal evolution equations

Publicated to:CALCULUS OF VARIATIONS AND PARTIAL DIFFERENTIAL EQUATIONS. 59 (4): 112- - 2020-08-01 59(4), DOI: 10.1007/s00526-020-01771-z

Authors: Garriz, Alejandro; Quiros, Fernando; Rossi, Julio D

Affiliations

Univ Autonoma Madrid, Dept Matemat, Madrid 28049, Spain - Author
Univ Buenos Aires, FCEyN, Dept Matemat, Ciudad Univ,Pab 1, RA-1428 Buenos Aires, DF, Argentina - Author
Universidad Autónoma de Madrid - Author
Universidad de Buenos Aires - Author

Abstract

© 2020, Springer-Verlag GmbH Germany, part of Springer Nature. We prove existence, uniqueness and several qualitative properties for evolution equations that combine local and nonlocal diffusion operators acting in different subdomains and coupled in such a way that the resulting evolution equation is the gradient flow of an energy functional. We deal with the Cauchy, Neumann and Dirichlet problems, in the last two cases with zero boundary data. For the first two problems we prove that the model preserves the total mass. We also study the decay rates of the solutions for large times. Finally, we show that we can recover the usual heat equation (local diffusion) in a limit procedure when we rescale the nonlocal kernel in a suitable way.

Keywords

Affordable and clean energy

Quality index

Bibliometric impact. Analysis of the contribution and dissemination channel

The work has been published in the journal CALCULUS OF VARIATIONS AND PARTIAL DIFFERENTIAL EQUATIONS due to its progression and the good impact it has achieved in recent years, according to the agency WoS (JCR), it has become a reference in its field. In the year of publication of the work, 2020, it was in position 39/330, thus managing to position itself as a Q1 (Primer Cuartil), in the category Mathematics.

From a relative perspective, and based on the normalized impact indicator calculated from World Citations provided by WoS (ESI, Clarivate), it yields a value for the citation normalization relative to the expected citation rate of: 3.83. This indicates that, compared to works in the same discipline and in the same year of publication, it ranks as a work cited above average. (source consulted: ESI Nov 14, 2024)

This information is reinforced by other indicators of the same type, which, although dynamic over time and dependent on the set of average global citations at the time of their calculation, consistently position the work at some point among the top 50% most cited in its field:

  • Weighted Average of Normalized Impact by the Scopus agency: 2.46 (source consulted: FECYT Feb 2024)
  • Field Citation Ratio (FCR) from Dimensions: 9.48 (source consulted: Dimensions Jul 2025)

Specifically, and according to different indexing agencies, this work has accumulated citations as of 2025-07-26, the following number of citations:

  • WoS: 14
  • Scopus: 15

Impact and social visibility

From the perspective of influence or social adoption, and based on metrics associated with mentions and interactions provided by agencies specializing in calculating the so-called "Alternative or Social Metrics," we can highlight as of 2025-07-26:

  • The use of this contribution in bookmarks, code forks, additions to favorite lists for recurrent reading, as well as general views, indicates that someone is using the publication as a basis for their current work. This may be a notable indicator of future more formal and academic citations. This claim is supported by the result of the "Capture" indicator, which yields a total of: 6 (PlumX).
Continuing with the social impact of the work, it is important to emphasize that, due to its content, it can be assigned to the area of interest of ODS 7 - Ensure access to affordable, reliable, sustainable and modern energy for all, with a probability of 90% according to the mBERT algorithm developed by Aurora University.

Leadership analysis of institutional authors

This work has been carried out with international collaboration, specifically with researchers from: Argentina.

There is a significant leadership presence as some of the institution’s authors appear as the first or last signer, detailed as follows: First Author (GARRIZ MOLINA, ALEJANDRO) and Last Author (ROSSI ., JULIO DANIEL).