Global well-posedness for the 2D dispersive SQG equation and inviscid Boussinesq equations

Global well-posedness for the 2D dispersive SQG equation and inviscid Boussinesq equations

In this paper, we obtain global well-posedness for the 2D dispersive SQG equation and inviscid Boussinesq equations. Our works are consistent with the corresponding works by Elgindi–Widmayer (SIAM J Math Anal 47:4672–4684, 2015 ) in the special case A = κ = 1 . In addition, our result concerning the...

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Veröffentlicht in:Zeitschrift für angewandte Mathematik und Physik 2016-08, Vol.67 (4), p.1-22, Article 104
Hauptverfasser: Wan, Renhui, Chen, Jiecheng
Format: Artikel
Sprache:eng
Schlagworte:
Applications of mathematics
Boussinesq equations
Dispersion
Engineering
Mathematical analysis
Mathematical Methods in Physics
Mathematics
Theoretical and Applied Mechanics
Well posed problems
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Zusammenfassung:In this paper, we obtain global well-posedness for the 2D dispersive SQG equation and inviscid Boussinesq equations. Our works are consistent with the corresponding works by Elgindi–Widmayer (SIAM J Math Anal 47:4672–4684, 2015 ) in the special case A = κ = 1 . In addition, our result concerning the SQG equation can be regarded as the borderline case of the work by Cannone et al. (Proc Lond Math Soc 106:650–674, 2013 ).
ISSN:0044-2275
1420-9039
DOI:10.1007/s00033-016-0697-0