Large-time behaviour of solutions to the surface quasi-geostrophic equation

Dáithí Ó hAodha () and Tsukasa Iwabuchi ()
Additional contact information
Dáithí Ó hAodha: Tohoku University
Tsukasa Iwabuchi: Tohoku University

Partial Differential Equations and Applications, 2022, vol. 3, issue 5, 1-17

Abstract: Abstract We construct a linear approximation of the solution to the surface quasi-geostrophic equation in 2-dimensional Euclidean space, and obtain a convergence rate in the Lebesgue norm between the solution and this approximation with respect to time. We also demonstrate that the nonlinear term of the solution is bounded sharply by the same function of time.

Keywords: Quasi-geostrophic; Large-time behaviour; Sharp estimate; Linear approximation; Fractional Laplacian; 35K55; 35B40; 35Q35 (search for similar items in EconPapers)
Date: 2022
References: View complete reference list from CitEc
Citations:

Downloads: (external link)
http://link.springer.com/10.1007/s42985-022-00197-w 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:pardea:v:3:y:2022:i:5:d:10.1007_s42985-022-00197-w

Ordering information: This journal article can be ordered from
https://www.springer.com/journal/42985/

DOI: 10.1007/s42985-022-00197-w

Access Statistics for this article

Partial Differential Equations and Applications is currently edited by Zhitao Zhang

More articles in Partial Differential Equations and Applications from Springer
Bibliographic data for series maintained by Sonal Shukla () and Springer Nature Abstracting and Indexing ().