On the inviscid Boussinesq system with rough initial data

We deal with the local well-posedness theory for the two-dimensional inviscid Boussinesq system with rough initial data of Yudovich type. The problem is in some sense critical due to some terms involving Riesz transforms in the vorticity–density formulation. We give a positive answer for a special s...

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Veröffentlicht in:	Journal of mathematical analysis and applications 2015-10, Vol.430 (2), p.777-809
Hauptverfasser:	Hassainia, Zineb, Hmidi, Taoufik
Format:	Artikel
Sprache:	eng
Schlagworte:	2D inviscid Boussinesq system Analysis of PDEs Local well-posedness Mathematics Vortex patches
Online-Zugang:	Volltext
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