Persistence of global well-posedness for the 2D Boussinesq equations with fractional dissipation

Persistence of global well-posedness for the 2D Boussinesq equations with fractional dissipation

In this paper, we study the IBVP for the 2D Boussinesq equations with fractional dissipation in the subcritical case, and prove the persistence of global well-posedness of strong solutions. Moreover, we also prove the long time decay of the solutions, and investigate the existence of the solutions i...

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Veröffentlicht in:Advances in difference equations 2019-10, Vol.2019 (1), p.1-19, Article 420
Hauptverfasser: Su, Xing, Wang, Gangwei, Wang, Yue
Format: Artikel
Sprache:eng
Schlagworte:
Analysis
Boussinesq equations
Difference and Functional Equations
Fractional dissipation
Functional Analysis
Global well-posedness
Mathematical analysis
Mathematics
Mathematics and Statistics
Ordinary Differential Equations
Partial Differential Equations
Sobolev space
Well posed problems
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Zusammenfassung:In this paper, we study the IBVP for the 2D Boussinesq equations with fractional dissipation in the subcritical case, and prove the persistence of global well-posedness of strong solutions. Moreover, we also prove the long time decay of the solutions, and investigate the existence of the solutions in Sobolev spaces W 2 , p ( R 2 ) × W 1 , p ( R 2 ) for some p > 2 .
ISSN:1687-1847
1687-1839
1687-1847
DOI:10.1186/s13662-019-2348-1