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This work has received funding from the Alexander von Humboldt-Professorship program, the Transregio 154 Project "Mathematical Modelling, Simulation and Optimization Using the Example of Gas Networks" of the DFG, the grant PID2020-112617GB-C22 of MINECO (Spain) , and the COST Action grant CA18232, "Mathematical models for interacting dynamics on networks" (MAT-DYN-NET) . J. A. Barcena-Petisco is funded by the Grant PID2021-126813NB-I00 funded by MCIN/AEI/10.13039/501100011033 and by "ERDF A way of making Europe", and by the grant IT1615-22 funded by the Basque Government. M. Cavalcante has been partially funded by CAPES-MATHAMSUD 88887.368708/2019. G. M. Coclite and N. De Nitti are members of the Gruppo Nazionale per l'Analisi Matematica, la Probabilita e le loro Applicazioni (GNAMPA) of the Istituto Nazionale di Alta Matematica (INdAM) . G. M. Coclite has been partially supported by the Project funded under the National Recovery and Resilience Plan (NRRP) , Mission 4, Component 2, Investment 1.4 (Call for tender No. 3138 of 16/12/2021) , of Italian Ministry of University and Research funded by the European Union (NextGenerationEU Award, No. CN000023, Concession Decree No. 1033 of 17/06/2022) adopted by the Italian Ministry of University and Research (CUP D93C22000410001) , Centro Nazionale per la Mobilita Sostenibile. He has also been supported by the Italian Ministry of Education, University and Research under the Programme "Department of Excellence" Legge 232/2016 (CUP D93C23000100001) , and by the Research Project of National Relevance "Evolution problems involving interacting scales" granted by the Italian Ministry of Education, University and Research (MIUR PRIN 2022, project code 2022M9BKBC, CUP D53D23005880006) . N. De Nitti has been funded by the Swiss State Secretariat for Education, Research and Innovation (SERI) under contract number MB22.00034 through the project TENSE.

Analysis of institutional authors

Zuazua, EnriqueAuthor

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Control of hyperbolic and parabolic equations on networks and singular limits

Publicated to:Mathematical Control and Related Fields. 15 (1): 348-389 - 2024-04-24 15(1), DOI: 10.3934/mcrf.2024015

Authors: Bárcena-Petisco, J.A.; Cavalcante, M.; Coclite, G.M.; De Nitti, N.; Zuazua, E.

Affiliations

Ecole Polytech Fed Lausanne, Inst Math, Stn 8, CH-1015 Lausanne, Switzerland - Author
Fdn Deusto, Chair Computat Math, Ave Univ,24,Basque Country, Bilbao 48007, Spain - Author
Friedrich Alexander Univ Erlangen Nurnberg, Chair Dynam Control Machine Learning & Numer, Dept Math, Alexander Humboldt Professorship, Cauerstr 11, D-91058 Erlangen, Germany - Author
Politecn Bari, Dipartimento Meccan Matemat & Management, Via E Orabona 4, I-70125 Bari, Italy - Author
Univ Autonoma Madrid, Dept Matemat, Ciudad Univ Cantoblanco, Madrid 28049, Spain - Author
Univ Basque Country UPV, Dept Math, EHU, Barrio Sarriena S-N, Leioa 48940, Spain - Author
Univ Fed Alagoas UFAL, Inst Matemat, Maceio, AL, Brazil - Author
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Abstract

vanishing viscosity, networks. This work has received funding from the Alexander von Humboldt-Professorship program, the Transregio 154 Project "Mathematical Modelling, Simulation and Optimization Using the Example of Gas Networks" of the DFG, the grant PID2020-112617GB-C22 of MINECO (Spain), and the COST Action grant CA18232, "Mathematical models for interacting dynamics on networks" (MAT-DYN-NET). J. A. Barcena-Petisco is funded by the Grant PID2021-126813NB-I00 funded by MCIN/AEI/10.13039/501100011033 and by "ERDF A way of making Europe", and by the grant IT1615-22 funded by the Basque Government. M. Cavalcante has been partially funded by CAPES-MATHAMSUD 88887.368708/2019. G. M. Coclite and N. De Nitti are members of the Gruppo Nazionale per l'Analisi Matematica, la Probabilit & aacute; e le loro Applicazioni (GNAMPA) of the 2, Investment 1.4 (Call for tender No. 3138 of 16/12/2021), of Italian Ministry of University and

Keywords

1-d heat-equationAdvection-diffusion equationsBoundary controllabilityControllabilityCostCost of controllabilityDe-vries equationFloNetworkNull controllabilitySaint-venant systemScalar conservation-lawsUniform controllabilityVanishing viscosity

Quality index

Bibliometric impact. Analysis of the contribution and dissemination channel

The work has been published in the journal Mathematical Control and Related Fields 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, 2024 there are still no calculated indicators, but in 2023, it was in position 181/332, thus managing to position itself as a Q1 (Primer Cuartil), 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 2025-06-15:

  • 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.

Leadership analysis of institutional authors

This work has been carried out with international collaboration, specifically with researchers from: Brazil; Germany; Italy; Switzerland.

There is a significant leadership presence as some of the institution’s authors appear as the first or last signer, detailed as follows: Last Author (ZUAZUA IRIONDO, ENRIQUE).