Global Existence and Decaying Rates of the Strong Solution for the Boussinesq System

Lu Wang, Shuokai Yan, Qinghua Zhang and Qingkai Zhao

Journal of Mathematics, 2023, vol. 2023, 1-14

Abstract: This paper focuses on the global existence and time-decay rates of the strong solution for the Boussinesq system with full viscosity in Rn for n≥3. Under the initial assumption of θ0,u0∈Ln/3×Ln with a small norm, and n>3 or n=3 and θ0∈Lr0 for some r0>1, global existence and uniqueness of the strong solution θ,u for the Boussinesq system is established. This solution is proven to obey the following estimates: θtr≤Ct−3−n/p/2 for n/3≤p 3 and 1

Date: 2023
References: Add references at CitEc
Citations:

Downloads: (external link)
http://downloads.hindawi.com/journals/jmath/2023/6512823.pdf (application/pdf)
http://downloads.hindawi.com/journals/jmath/2023/6512823.xml (application/xml)

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:hin:jjmath:6512823

DOI: 10.1155/2023/6512823

Access Statistics for this article

More articles in Journal of Mathematics from Hindawi
Bibliographic data for series maintained by Mohamed Abdelhakeem ().