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Euler-flocking system with nonlocal dissipation in 1D: Periodic entropy solutions.

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Title: Euler-flocking system with nonlocal dissipation in 1D: Periodic entropy solutions.
Authors: Amadori, Debora1 (AUTHOR) debora.amadori@univaq.it, Chiarello, Felisia Angela1 (AUTHOR) felisiaangela.chiarello@univaq.it, Christoforou, Cleopatra2 (AUTHOR) christoforou.cleopatra@ucy.ac.cy
Source: Journal of Hyperbolic Differential Equations. Mar2026, Vol. 23 Issue 1, p61-86. 26p.
Subjects: One-dimensional flow, Hydrodynamics
Abstract: We consider a hydrodynamic model of flocking-type with all-to-all interaction kernel in a periodic domain in one-space dimension with linear pressure term. The main result is the global existence of periodic entropy weak solutions, for periodic initial data having finite total variation and initial density bounded away from zero. [ABSTRACT FROM AUTHOR]
Copyright of Journal of Hyperbolic Differential Equations is the property of World Scientific Publishing Company and its content may not be copied or emailed to multiple sites without the copyright holder's express written permission. Additionally, content may not be used with any artificial intelligence tools or machine learning technologies. However, users may print, download, or email articles for individual use. This abstract may be abridged. No warranty is given about the accuracy of the copy. Users should refer to the original published version of the material for the full abstract. (Copyright applies to all Abstracts.)
Database: Engineering Source
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Header DbId: egs
DbLabel: Engineering Source
An: 191950282
AccessLevel: 6
PubType: Academic Journal
PubTypeId: academicJournal
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  Data: Euler-flocking system with nonlocal dissipation in 1D: Periodic entropy solutions.
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  Data: <searchLink fieldCode="AR" term="%22Amadori%2C+Debora%22">Amadori, Debora</searchLink><relatesTo>1</relatesTo> (AUTHOR)<i> debora.amadori@univaq.it</i><br /><searchLink fieldCode="AR" term="%22Chiarello%2C+Felisia+Angela%22">Chiarello, Felisia Angela</searchLink><relatesTo>1</relatesTo> (AUTHOR)<i> felisiaangela.chiarello@univaq.it</i><br /><searchLink fieldCode="AR" term="%22Christoforou%2C+Cleopatra%22">Christoforou, Cleopatra</searchLink><relatesTo>2</relatesTo> (AUTHOR)<i> christoforou.cleopatra@ucy.ac.cy</i>
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  Data: <searchLink fieldCode="JN" term="%22Journal+of+Hyperbolic+Differential+Equations%22">Journal of Hyperbolic Differential Equations</searchLink>. Mar2026, Vol. 23 Issue 1, p61-86. 26p.
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  Data: <searchLink fieldCode="DE" term="%22One-dimensional+flow%22">One-dimensional flow</searchLink><br /><searchLink fieldCode="DE" term="%22Hydrodynamics%22">Hydrodynamics</searchLink>
– Name: Abstract
  Label: Abstract
  Group: Ab
  Data: We consider a hydrodynamic model of flocking-type with all-to-all interaction kernel in a periodic domain in one-space dimension with linear pressure term. The main result is the global existence of periodic entropy weak solutions, for periodic initial data having finite total variation and initial density bounded away from zero. [ABSTRACT FROM AUTHOR]
– Name: AbstractSuppliedCopyright
  Label:
  Group: Ab
  Data: <i>Copyright of Journal of Hyperbolic Differential Equations is the property of World Scientific Publishing Company and its content may not be copied or emailed to multiple sites without the copyright holder's express written permission. Additionally, content may not be used with any artificial intelligence tools or machine learning technologies. However, users may print, download, or email articles for individual use. This abstract may be abridged. No warranty is given about the accuracy of the copy. Users should refer to the original published version of the material for the full abstract.</i> (Copyright applies to all Abstracts.)
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RecordInfo BibRecord:
  BibEntity:
    Identifiers:
      – Type: doi
        Value: 10.1142/S0219891626400035
    Languages:
      – Code: eng
        Text: English
    PhysicalDescription:
      Pagination:
        PageCount: 26
        StartPage: 61
    Subjects:
      – SubjectFull: One-dimensional flow
        Type: general
      – SubjectFull: Hydrodynamics
        Type: general
    Titles:
      – TitleFull: Euler-flocking system with nonlocal dissipation in 1D: Periodic entropy solutions.
        Type: main
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      – PersonEntity:
          Name:
            NameFull: Amadori, Debora
      – PersonEntity:
          Name:
            NameFull: Chiarello, Felisia Angela
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          Name:
            NameFull: Christoforou, Cleopatra
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          Dates:
            – D: 01
              M: 03
              Text: Mar2026
              Type: published
              Y: 2026
          Identifiers:
            – Type: issn-print
              Value: 02198916
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              Value: 23
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              Value: 1
          Titles:
            – TitleFull: Journal of Hyperbolic Differential Equations
              Type: main
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