A coupled mathematical model for wind and sand dynamics.
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| Title: | A coupled mathematical model for wind and sand dynamics. |
|---|---|
| Authors: | Khellaf, A.1 (AUTHOR) khellaf.ammar@enp-constantine.dz, Benssaad, M.2 (AUTHOR) benssaad.meryem@gmail.com, Sedka, I.3 (AUTHOR) ilyes.sedka@lagh-univ.dz |
| Source: | Theoretical & Mathematical Physics. Jan2026, Vol. 226 Issue 1, p109-117. 9p. |
| Subjects: | Mathematical models, Sediment transport, Wind pressure, Density, Equilibrium, Fixed point theory |
| Abstract: | We propose a mathematical model describing the transport of sand grains driven by wind, coupled with the evolution of the air momentum, within a bounded domain of. The sand grains are assumed to be spherical, of constant mass, and are modeled at a mesoscopic scale by a particle density function, while the wind is described at a macroscopic scale by a mean velocity field. We focus on the stationary regime of the system, corresponding to an equilibrium state under constant conditions. The analysis consists of solving the transport equation along characteristics for a given velocity field, followed by the study of the stationary wind equation using Schauder's fixed-point theorem. [ABSTRACT FROM AUTHOR] |
| Copyright of Theoretical & Mathematical Physics is the property of Springer Nature 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 |
| FullText | Text: Availability: 0 |
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| Header | DbId: egs DbLabel: Engineering Source An: 191135006 AccessLevel: 6 PubType: Academic Journal PubTypeId: academicJournal PreciseRelevancyScore: 0 |
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| Items | – Name: Title Label: Title Group: Ti Data: A coupled mathematical model for wind and sand dynamics. – Name: Author Label: Authors Group: Au Data: <searchLink fieldCode="AR" term="%22Khellaf%2C+A%2E%22">Khellaf, A.</searchLink><relatesTo>1</relatesTo> (AUTHOR)<i> khellaf.ammar@enp-constantine.dz</i><br /><searchLink fieldCode="AR" term="%22Benssaad%2C+M%2E%22">Benssaad, M.</searchLink><relatesTo>2</relatesTo> (AUTHOR)<i> benssaad.meryem@gmail.com</i><br /><searchLink fieldCode="AR" term="%22Sedka%2C+I%2E%22">Sedka, I.</searchLink><relatesTo>3</relatesTo> (AUTHOR)<i> ilyes.sedka@lagh-univ.dz</i> – Name: TitleSource Label: Source Group: Src Data: <searchLink fieldCode="JN" term="%22Theoretical+%26+Mathematical+Physics%22">Theoretical & Mathematical Physics</searchLink>. Jan2026, Vol. 226 Issue 1, p109-117. 9p. – Name: Subject Label: Subjects Group: Su Data: <searchLink fieldCode="DE" term="%22Mathematical+models%22">Mathematical models</searchLink><br /><searchLink fieldCode="DE" term="%22Sediment+transport%22">Sediment transport</searchLink><br /><searchLink fieldCode="DE" term="%22Wind+pressure%22">Wind pressure</searchLink><br /><searchLink fieldCode="DE" term="%22Density%22">Density</searchLink><br /><searchLink fieldCode="DE" term="%22Equilibrium%22">Equilibrium</searchLink><br /><searchLink fieldCode="DE" term="%22Fixed+point+theory%22">Fixed point theory</searchLink> – Name: Abstract Label: Abstract Group: Ab Data: We propose a mathematical model describing the transport of sand grains driven by wind, coupled with the evolution of the air momentum, within a bounded domain of. The sand grains are assumed to be spherical, of constant mass, and are modeled at a mesoscopic scale by a particle density function, while the wind is described at a macroscopic scale by a mean velocity field. We focus on the stationary regime of the system, corresponding to an equilibrium state under constant conditions. The analysis consists of solving the transport equation along characteristics for a given velocity field, followed by the study of the stationary wind equation using Schauder's fixed-point theorem. [ABSTRACT FROM AUTHOR] – Name: AbstractSuppliedCopyright Label: Group: Ab Data: <i>Copyright of Theoretical & Mathematical Physics is the property of Springer Nature 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: 10.1134/S0040577926010071 Languages: – Code: eng Text: English PhysicalDescription: Pagination: PageCount: 9 StartPage: 109 Subjects: – SubjectFull: Mathematical models Type: general – SubjectFull: Sediment transport Type: general – SubjectFull: Wind pressure Type: general – SubjectFull: Density Type: general – SubjectFull: Equilibrium Type: general – SubjectFull: Fixed point theory Type: general Titles: – TitleFull: A coupled mathematical model for wind and sand dynamics. Type: main BibRelationships: HasContributorRelationships: – PersonEntity: Name: NameFull: Khellaf, A. – PersonEntity: Name: NameFull: Benssaad, M. – PersonEntity: Name: NameFull: Sedka, I. IsPartOfRelationships: – BibEntity: Dates: – D: 01 M: 01 Text: Jan2026 Type: published Y: 2026 Identifiers: – Type: issn-print Value: 00405779 Numbering: – Type: volume Value: 226 – Type: issue Value: 1 Titles: – TitleFull: Theoretical & Mathematical Physics Type: main |
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