Stability of the 2D Boussinesq equations with a velocity damping term in the strip domain

Stability of the 2D Boussinesq equations with a velocity damping term in the strip domain

We prove the global well-posedness for the 2D Boussinesq equations with a velocity damping term around the equilibrium state ( 0 , x 2 ) in the strip domain R × ( 0 , 1 ) with Navier-type slip boundary condition. It is worth mentioning that the results of low regularity are obtained using only the e...

Ausführliche Beschreibung

Gespeichert in:
Bibliographische Detailangaben
Veröffentlicht in:Zeitschrift für angewandte Mathematik und Physik 2023-04, Vol.74 (2), Article 55
Hauptverfasser: Luo, Zekai, Ren, Xiaoxia
Format: Artikel
Sprache:eng
Schlagworte:
Boundary conditions
Boussinesq equations
Damping
Domains
Engineering
Mathematical analysis
Mathematical Methods in Physics
Strip
Theoretical and Applied Mechanics
Online-Zugang:Volltext
Tags: Tag hinzufügen
Keine Tags, Fügen Sie den ersten Tag hinzu!
Beschreibung
Zusammenfassung:We prove the global well-posedness for the 2D Boussinesq equations with a velocity damping term around the equilibrium state ( 0 , x 2 ) in the strip domain R × ( 0 , 1 ) with Navier-type slip boundary condition. It is worth mentioning that the results of low regularity are obtained using only the energy estimate and the structure of the equations.
ISSN:0044-2275
1420-9039
DOI:10.1007/s00033-023-01951-9