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Prieto MuÑoz, FedericoAuthor

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September 8, 2024
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NON-HOMOGENEOUS REACTION IN A NON-LINEAR DIFFUSION OPERATOR WITH ADVECTION TO MODEL A MASS TRANSFER PROCESS

Publicated to:Journal Of Applied Analysis And Computation. 12 (1): 179-205 - 2022-02-01 12(1), DOI: 10.11948/20210096

Authors: Diaz Palencia, Jose Luis; Prieto Munoz, Federico; Miguel Garcia-Haro, Juan

Affiliations

Univ Francisco de Vitoria, Escuela Politecn Super, Ctra Pozuelo Majadahonda Km 1,800, Madrid 28223, Spain - Author

Abstract

It is the objective to provide a mathematical treatment of a non-homogeneous and non-lipschitz reaction problem with a non-linear diffusion and advection operator, so that it can be applied to a fire extinguishing process in aerospace. The main findings are related with the existence and characterization of a finite propagation support that emerges in virtue of the the non-linear diffusion formulation. It is provided a precise assessment on different times associated to the extinguisher discharge process. Particularly, the time required to activate the discharge, the time required for the extinguisher front to cover the whole domain, the time required to reach a minimum level of concentration so as to extinguish a fire and the time required by the agent to reach some difficult dead zones where the extinguisher propagates only by diffusion and no advection. The equation proposed is firstly discussed from a mathematical perspective to find analytical solutions and propagating profiles. Afterwards, the application exercise is introduced.

Keywords

AerospacDynamicEquationNon-homogenousNon-linear advectionNon-linear diffusionReaction

Quality index

Bibliometric impact. Analysis of the contribution and dissemination channel

The work has been published in the journal Journal Of Applied Analysis And Computation due to its progression and the good impact it has achieved in recent years, according to the agency Scopus (SJR), it has become a reference in its field. In the year of publication of the work, 2022, it was in position , thus managing to position itself as a Q2 (Segundo Cuartil), in the category Mathematics (Miscellaneous). Notably, the journal is positioned en el Cuartil Q3 for the agency WoS (JCR) in the category Mathematics, Applied.

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 2025-07-05:

  • 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: 2 (PlumX).

It is essential to present evidence supporting full alignment with institutional principles and guidelines on Open Science and the Conservation and Dissemination of Intellectual Heritage. A clear example of this is:

  • The work has been submitted to a journal whose editorial policy allows open Open Access publication.