Spectral analysis and global well-posedness for a viscous tropical climate model with only a damp term

Tropical climate model derived by Frierson–Majda–Pauluis in Frierson et al. (2004) has been studied by many works (see, e.g., Li and Titi (2016); Li and Titi (2016); Wan (2016)). In this paper, we consider the Cauchy problem for the viscous tropical climate model with only a damp term and obtain the...

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Veröffentlicht in:	Nonlinear analysis: real world applications 2018-02, Vol.39, p.554-567
Hauptverfasser:	Ma, Caochuan, Wan, Renhui
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Sprache:	eng
Schlagworte:	Cauchy problems Climate Climate models Function space Global well-posedness Moisture content Spectral analysis Spectrum analysis Tropical climate model Viscosity Well posed problems
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description	Tropical climate model derived by Frierson–Majda–Pauluis in Frierson et al. (2004) has been studied by many works (see, e.g., Li and Titi (2016); Li and Titi (2016); Wan (2016)). In this paper, we consider the Cauchy problem for the viscous tropical climate model with only a damp term and obtain the global well-posedness for the small data. The estimate of ∫0t‖ ∇θ‖L∞2dτ is the main difficulty. To achieve our goal, we need using the spectral analysis to the system and constructing a new energy estimate of u in Besov space.
doi_str_mv	10.1016/j.nonrwa.2017.08.004
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subjects	Cauchy problems Climate Climate models Function space Global well-posedness Moisture content Spectral analysis Spectrum analysis Tropical climate model Viscosity Well posed problems
title	Spectral analysis and global well-posedness for a viscous tropical climate model with only a damp term
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