Kelvin–Voigt Equations with a Discontinuous Density Profile.
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| Title: | Kelvin–Voigt Equations with a Discontinuous Density Profile. |
|---|---|
| Authors: | Antontsev, S. N.1 (AUTHOR) antontsevsn@mail.ru, Kuznetsov, I. V.1,2 (AUTHOR) kuznetsov_i@hydro.nsc.ru |
| Source: | Journal of Applied Mechanics & Technical Physics. Feb2025, Vol. 66 Issue 1, p89-99. 11p. |
| Subjects: | Dirac function, Density, Acceleration (Mechanics), Dynamic viscosity, Complex fluids, Conservation of mass, Non-equilibrium reactions |
| Abstract: | Kelvin–Voigt equations for inhomogeneous fluids with a singular right side are studied. A singular term that approximates the Dirac delta function on an initially infinitely thin layer is introduced into the right side of a mass balance equation. This singular term is similar to the relaxation term used to describe nonequilibrium processes in hydrodynamics. In an extreme case, when a small parameter, namely, the characteristic size of the initial layer, tends to zero, the density and velocity at the initial time change abruptly. [ABSTRACT FROM AUTHOR] |
| Copyright of Journal of Applied Mechanics & Technical 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 |
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| Header | DbId: egs DbLabel: Engineering Source An: 188240324 AccessLevel: 6 PubType: Academic Journal PubTypeId: academicJournal PreciseRelevancyScore: 0 |
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| Items | – Name: Title Label: Title Group: Ti Data: Kelvin–Voigt Equations with a Discontinuous Density Profile. – Name: Author Label: Authors Group: Au Data: <searchLink fieldCode="AR" term="%22Antontsev%2C+S%2E+N%2E%22">Antontsev, S. N.</searchLink><relatesTo>1</relatesTo> (AUTHOR)<i> antontsevsn@mail.ru</i><br /><searchLink fieldCode="AR" term="%22Kuznetsov%2C+I%2E+V%2E%22">Kuznetsov, I. V.</searchLink><relatesTo>1,2</relatesTo> (AUTHOR)<i> kuznetsov_i@hydro.nsc.ru</i> – Name: TitleSource Label: Source Group: Src Data: <searchLink fieldCode="JN" term="%22Journal+of+Applied+Mechanics+%26+Technical+Physics%22">Journal of Applied Mechanics & Technical Physics</searchLink>. Feb2025, Vol. 66 Issue 1, p89-99. 11p. – Name: Subject Label: Subjects Group: Su Data: <searchLink fieldCode="DE" term="%22Dirac+function%22">Dirac function</searchLink><br /><searchLink fieldCode="DE" term="%22Density%22">Density</searchLink><br /><searchLink fieldCode="DE" term="%22Acceleration+%28Mechanics%29%22">Acceleration (Mechanics)</searchLink><br /><searchLink fieldCode="DE" term="%22Dynamic+viscosity%22">Dynamic viscosity</searchLink><br /><searchLink fieldCode="DE" term="%22Complex+fluids%22">Complex fluids</searchLink><br /><searchLink fieldCode="DE" term="%22Conservation+of+mass%22">Conservation of mass</searchLink><br /><searchLink fieldCode="DE" term="%22Non-equilibrium+reactions%22">Non-equilibrium reactions</searchLink> – Name: Abstract Label: Abstract Group: Ab Data: Kelvin–Voigt equations for inhomogeneous fluids with a singular right side are studied. A singular term that approximates the Dirac delta function on an initially infinitely thin layer is introduced into the right side of a mass balance equation. This singular term is similar to the relaxation term used to describe nonequilibrium processes in hydrodynamics. In an extreme case, when a small parameter, namely, the characteristic size of the initial layer, tends to zero, the density and velocity at the initial time change abruptly. [ABSTRACT FROM AUTHOR] – Name: AbstractSuppliedCopyright Label: Group: Ab Data: <i>Copyright of Journal of Applied Mechanics & Technical 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/S0021894425010018 Languages: – Code: eng Text: English PhysicalDescription: Pagination: PageCount: 11 StartPage: 89 Subjects: – SubjectFull: Dirac function Type: general – SubjectFull: Density Type: general – SubjectFull: Acceleration (Mechanics) Type: general – SubjectFull: Dynamic viscosity Type: general – SubjectFull: Complex fluids Type: general – SubjectFull: Conservation of mass Type: general – SubjectFull: Non-equilibrium reactions Type: general Titles: – TitleFull: Kelvin–Voigt Equations with a Discontinuous Density Profile. Type: main BibRelationships: HasContributorRelationships: – PersonEntity: Name: NameFull: Antontsev, S. N. – PersonEntity: Name: NameFull: Kuznetsov, I. V. IsPartOfRelationships: – BibEntity: Dates: – D: 01 M: 02 Text: Feb2025 Type: published Y: 2025 Identifiers: – Type: issn-print Value: 00218944 Numbering: – Type: volume Value: 66 – Type: issue Value: 1 Titles: – TitleFull: Journal of Applied Mechanics & Technical Physics Type: main |
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