Existence and stability of forced oscillation of an abstract evolution equation.
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| Title: | Existence and stability of forced oscillation of an abstract evolution equation. |
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| Authors: | Gong, Xue1 (AUTHOR), Wang, Taige2 (AUTHOR) taige.wang@uc.edu, Xie, Xiangfei3 (AUTHOR) |
| Source: | Asian Journal of Control. May2026, Vol. 28 Issue 3, p1086-1098. 13p. |
| Subjects: | Evolution equations, Parabolic differential equations, Navier-Stokes equations, Oscillations, Hydrodynamics, Stability theory, Limit cycles |
| Abstract: | This paper focuses on investigating the existence and stability of periodic forced oscillation in an abstract parabolic equation subjected to a time‐periodic force within a given medium. This equation can be related to 2D Navier–Stokes hydrodynamic models under specific physical settings. First, we prove the existence of such periodic solutions, then we examine their local or global stability. Corresponding properties are pursued for solutions with high regularity. [ABSTRACT FROM AUTHOR] |
| Copyright of Asian Journal of Control is the property of Wiley-Blackwell 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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| FullText | Links: – Type: pdflink Text: Availability: 1 |
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| Header | DbId: egs DbLabel: Engineering Source An: 193710631 AccessLevel: 6 PubType: Academic Journal PubTypeId: academicJournal PreciseRelevancyScore: 0 |
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| Items | – Name: Title Label: Title Group: Ti Data: Existence and stability of forced oscillation of an abstract evolution equation. – Name: Author Label: Authors Group: Au Data: <searchLink fieldCode="AR" term="%22Gong%2C+Xue%22">Gong, Xue</searchLink><relatesTo>1</relatesTo> (AUTHOR)<br /><searchLink fieldCode="AR" term="%22Wang%2C+Taige%22">Wang, Taige</searchLink><relatesTo>2</relatesTo> (AUTHOR)<i> taige.wang@uc.edu</i><br /><searchLink fieldCode="AR" term="%22Xie%2C+Xiangfei%22">Xie, Xiangfei</searchLink><relatesTo>3</relatesTo> (AUTHOR) – Name: TitleSource Label: Source Group: Src Data: <searchLink fieldCode="JN" term="%22Asian+Journal+of+Control%22">Asian Journal of Control</searchLink>. May2026, Vol. 28 Issue 3, p1086-1098. 13p. – Name: Subject Label: Subjects Group: Su Data: <searchLink fieldCode="DE" term="%22Evolution+equations%22">Evolution equations</searchLink><br /><searchLink fieldCode="DE" term="%22Parabolic+differential+equations%22">Parabolic differential equations</searchLink><br /><searchLink fieldCode="DE" term="%22Navier-Stokes+equations%22">Navier-Stokes equations</searchLink><br /><searchLink fieldCode="DE" term="%22Oscillations%22">Oscillations</searchLink><br /><searchLink fieldCode="DE" term="%22Hydrodynamics%22">Hydrodynamics</searchLink><br /><searchLink fieldCode="DE" term="%22Stability+theory%22">Stability theory</searchLink><br /><searchLink fieldCode="DE" term="%22Limit+cycles%22">Limit cycles</searchLink> – Name: Abstract Label: Abstract Group: Ab Data: This paper focuses on investigating the existence and stability of periodic forced oscillation in an abstract parabolic equation subjected to a time‐periodic force within a given medium. This equation can be related to 2D Navier–Stokes hydrodynamic models under specific physical settings. First, we prove the existence of such periodic solutions, then we examine their local or global stability. Corresponding properties are pursued for solutions with high regularity. [ABSTRACT FROM AUTHOR] – Name: AbstractSuppliedCopyright Label: Group: Ab Data: <i>Copyright of Asian Journal of Control is the property of Wiley-Blackwell 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.) |
| PLink | https://search.ebscohost.com/login.aspx?direct=true&site=eds-live&db=egs&AN=193710631 |
| RecordInfo | BibRecord: BibEntity: Identifiers: – Type: doi Value: 10.1002/asjc.3736 Languages: – Code: eng Text: English PhysicalDescription: Pagination: PageCount: 13 StartPage: 1086 Subjects: – SubjectFull: Evolution equations Type: general – SubjectFull: Parabolic differential equations Type: general – SubjectFull: Navier-Stokes equations Type: general – SubjectFull: Oscillations Type: general – SubjectFull: Hydrodynamics Type: general – SubjectFull: Stability theory Type: general – SubjectFull: Limit cycles Type: general Titles: – TitleFull: Existence and stability of forced oscillation of an abstract evolution equation. Type: main BibRelationships: HasContributorRelationships: – PersonEntity: Name: NameFull: Gong, Xue – PersonEntity: Name: NameFull: Wang, Taige – PersonEntity: Name: NameFull: Xie, Xiangfei IsPartOfRelationships: – BibEntity: Dates: – D: 01 M: 05 Text: May2026 Type: published Y: 2026 Identifiers: – Type: issn-print Value: 15618625 Numbering: – Type: volume Value: 28 – Type: issue Value: 3 Titles: – TitleFull: Asian Journal of Control Type: main |
| ResultId | 1 |
