Global regularity for a class of 2D generalized tropical climate models

DOI10.1016/j.jde.2018.11.007zbMath1412.35249OpenAlexW2899593028WikidataQ128971613 ScholiaQ128971613MaRDI QIDQ1731856

Hui Zhang, Jiahong Wu, Bo-Qing Dong, Zhuan Ye, Wen-Juan Wang

Publication date: 14 March 2019

Published in: Journal of Differential Equations (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.jde.2018.11.007

zbMATH Keywords

global regularitytropical climate model

Mathematics Subject Classification ID

Smoothness and regularity of solutions to PDEs (35B65) Asymptotic behavior of solutions to PDEs (35B40) PDEs in connection with fluid mechanics (35Q35) Maximal functions, Littlewood-Paley theory (42B25) Meteorology and atmospheric physics (86A10) Existence, uniqueness, and regularity theory for incompressible inviscid fluids (76B03) Fractional partial differential equations (35R11)

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Cites Work

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• Global well-posedness of strong solutions to a tropical climate model
• Global regularity for a class of 2D tropical climate model
• Hydrodynamics in Besov spaces
• Global regularity for several incompressible fluid models with partial dissipation
• Global regularity results for the climate model with fractional dissipation
• A maximum principle applied to quasi-geostrophic equations
• A new Bernstein's inequality and the 2D dissipative quasi-geostrophic equation
• Well-posedness of the Cauchy problem for the fractional power dissipative equations
• Large scale dynamics of precipitation fronts in the tropical atmosphere: a novel relaxation limit
• Fourier Analysis and Nonlinear Partial Differential Equations
• Commutator estimates and the euler and navier-stokes equations
• Well-Posedness of the Initial Value Problem for the Korteweg-de Vries Equation
• Heat kernels and maximal l^p—l^qestimates for parabolic evolution equations
• The Two-Dimensional Incompressible Boussinesq Equations with General Critical Dissipation
• Global well-posedness of the 2D Boussinesq equations with fractional Laplacian dissipation