On the multicomponent reactive flows in moving domains.
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| Title: | On the multicomponent reactive flows in moving domains. |
|---|---|
| Authors: | Bhandari, Kuntal1 (AUTHOR), Kračmar, Stanislav2 (AUTHOR), Nečasová, Šárka1 (AUTHOR), Yang, Minsuk3 (AUTHOR) |
| Source: | Quarterly of Applied Mathematics. Mar2026, Vol. 84 Issue 1, p73-118. 46p. |
| Subjects: | Reactive flow, Boundary value problems, Approximation theory, Multiphase flow, Diffusion kinetics |
| Abstract: | This paper is concerned with the existence of global-in-time weak solutions to the multicomponent reactive flows inside a moving domain whose shape in time is prescribed. The flow is governed by the 3D compressible Navier-Stokes-Fourier system coupled with the equations of species mass fractions. The fluid velocity is supposed to fulfill the complete slip boundary condition, whereas the heat flux and species diffusion fluxes satisfy the conservative boundary conditions. The existence of weak solutions is obtained by means of suitable approximation techniques. To this end, we need to rigorously analyze the penalization of the boundary behavior, viscosity and the pressure in the weak formulation. [ABSTRACT FROM AUTHOR] |
| Copyright of Quarterly of Applied Mathematics is the property of American Mathematical Society 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: 189572827 AccessLevel: 6 PubType: Academic Journal PubTypeId: academicJournal PreciseRelevancyScore: 0 |
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| Items | – Name: Title Label: Title Group: Ti Data: On the multicomponent reactive flows in moving domains. – Name: Author Label: Authors Group: Au Data: <searchLink fieldCode="AR" term="%22Bhandari%2C+Kuntal%22">Bhandari, Kuntal</searchLink><relatesTo>1</relatesTo> (AUTHOR)<br /><searchLink fieldCode="AR" term="%22Kračmar%2C+Stanislav%22">Kračmar, Stanislav</searchLink><relatesTo>2</relatesTo> (AUTHOR)<br /><searchLink fieldCode="AR" term="%22Nečasová%2C+Šárka%22">Nečasová, Šárka</searchLink><relatesTo>1</relatesTo> (AUTHOR)<br /><searchLink fieldCode="AR" term="%22Yang%2C+Minsuk%22">Yang, Minsuk</searchLink><relatesTo>3</relatesTo> (AUTHOR) – Name: TitleSource Label: Source Group: Src Data: <searchLink fieldCode="JN" term="%22Quarterly+of+Applied+Mathematics%22">Quarterly of Applied Mathematics</searchLink>. Mar2026, Vol. 84 Issue 1, p73-118. 46p. – Name: Subject Label: Subjects Group: Su Data: <searchLink fieldCode="DE" term="%22Reactive+flow%22">Reactive flow</searchLink><br /><searchLink fieldCode="DE" term="%22Boundary+value+problems%22">Boundary value problems</searchLink><br /><searchLink fieldCode="DE" term="%22Approximation+theory%22">Approximation theory</searchLink><br /><searchLink fieldCode="DE" term="%22Multiphase+flow%22">Multiphase flow</searchLink><br /><searchLink fieldCode="DE" term="%22Diffusion+kinetics%22">Diffusion kinetics</searchLink> – Name: Abstract Label: Abstract Group: Ab Data: This paper is concerned with the existence of global-in-time weak solutions to the multicomponent reactive flows inside a moving domain whose shape in time is prescribed. The flow is governed by the 3D compressible Navier-Stokes-Fourier system coupled with the equations of species mass fractions. The fluid velocity is supposed to fulfill the complete slip boundary condition, whereas the heat flux and species diffusion fluxes satisfy the conservative boundary conditions. The existence of weak solutions is obtained by means of suitable approximation techniques. To this end, we need to rigorously analyze the penalization of the boundary behavior, viscosity and the pressure in the weak formulation. [ABSTRACT FROM AUTHOR] – Name: AbstractSuppliedCopyright Label: Group: Ab Data: <i>Copyright of Quarterly of Applied Mathematics is the property of American Mathematical Society 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: 10.1090/qam/1721 Languages: – Code: eng Text: English PhysicalDescription: Pagination: PageCount: 46 StartPage: 73 Subjects: – SubjectFull: Reactive flow Type: general – SubjectFull: Boundary value problems Type: general – SubjectFull: Approximation theory Type: general – SubjectFull: Multiphase flow Type: general – SubjectFull: Diffusion kinetics Type: general Titles: – TitleFull: On the multicomponent reactive flows in moving domains. Type: main BibRelationships: HasContributorRelationships: – PersonEntity: Name: NameFull: Bhandari, Kuntal – PersonEntity: Name: NameFull: Kračmar, Stanislav – PersonEntity: Name: NameFull: Nečasová, Šárka – PersonEntity: Name: NameFull: Yang, Minsuk IsPartOfRelationships: – BibEntity: Dates: – D: 01 M: 03 Text: Mar2026 Type: published Y: 2026 Identifiers: – Type: issn-print Value: 0033569X Numbering: – Type: volume Value: 84 – Type: issue Value: 1 Titles: – TitleFull: Quarterly of Applied Mathematics Type: main |
| ResultId | 1 |
