Global well-posedness of smooth solution to the supercritical SQG equation with large dispersive forcing and small viscosity

Global well-posedness of smooth solution to the supercritical SQG equation with large dispersive forcing and small viscosity

It is known that global well-posedness for the supercritical SQG equation remains open, even the smooth data. In this paper, motivated by the recent work Cannone et al. (2013), we provide a simpler approach to the proof of global well-posedness for the supercritical SQG equation with large dispersiv...

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Veröffentlicht in:Nonlinear analysis 2017-11, Vol.164, p.54-66
Hauptverfasser: Wan, Renhui, Chen, Jiecheng
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Sprache:eng
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Boussinesq equations
Dispersion
Large dispersive forcing
Nonlinear equations
Small viscosity
Supercritical SQG equation
Viscosity
Well posed problems
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description It is known that global well-posedness for the supercritical SQG equation remains open, even the smooth data. In this paper, motivated by the recent work Cannone et al. (2013), we provide a simpler approach to the proof of global well-posedness for the supercritical SQG equation with large dispersive forcing, even with small viscosity. As an application, we prove global well-posedness for the 2D dissipative Boussinesq equations with small viscosity and large background data.
doi_str_mv 10.1016/j.na.2017.08.008
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subjects Boussinesq equations
Dispersion
Large dispersive forcing
Nonlinear equations
Small viscosity
Supercritical SQG equation
Viscosity
Well posed problems
title Global well-posedness of smooth solution to the supercritical SQG equation with large dispersive forcing and small viscosity
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