Gevrey Regularity for A Fluid–Structure Interaction Model

George Avalos (), Dylan McKnight () and Sara McKnight ()
Additional contact information
George Avalos: University of Nebraska-Lincoln
Dylan McKnight: Colorado Mesa University
Sara McKnight: Colorado Mesa University

Journal of Optimization Theory and Applications, 2025, vol. 205, issue 1, No 11, 17 pages

Abstract: Abstract A result of Gevrey regularity is ascertained for a semigroup which models a fluid–structure interaction problem. In this model, the fluid evolves in a piecewise smooth or convex geometry $$\mathcal {O}$$ O . On a portion of the boundary, a fourth order plate equation is coupled with the fluid through pressure and matching velocities. The key to obtaining the conclusion of Gevrey regularity is an appropriate estimation of the resolvent of the associated $$C_0$$ C 0 -semigroup operator. Moreover, a numerical scheme and example is provided which empirically demonstrates smoothing of the fluid–structure semigroup.

Keywords: Fluid–structure interaction; Stokes equations; Kirchoff plate; Gevrey class semigroups; 35Q35; 35Q74; 74F10; 35B65 (search for similar items in EconPapers)
Date: 2025
References: View complete reference list from CitEc
Citations:

Downloads: (external link)
http://link.springer.com/10.1007/s10957-025-02625-4 Abstract (text/html)
Access to the full text of the articles in this series is restricted.

Related works:
This item may be available elsewhere in EconPapers: Search for items with the same title.

Export reference: BibTeX RIS (EndNote, ProCite, RefMan) HTML/Text

Persistent link: https://EconPapers.repec.org/RePEc:spr:joptap:v:205:y:2025:i:1:d:10.1007_s10957-025-02625-4

Ordering information: This journal article can be ordered from
http://www.springer. ... cs/journal/10957/PS2

DOI: 10.1007/s10957-025-02625-4

Access Statistics for this article

Journal of Optimization Theory and Applications is currently edited by Franco Giannessi and David G. Hull

More articles in Journal of Optimization Theory and Applications from Springer
Bibliographic data for series maintained by Sonal Shukla () and Springer Nature Abstracting and Indexing ().