Global well-posedness and large time decay for the d-dimensional tropical climate model

DOI10.3934/math.2021330zbMath1484.86009OpenAlexW3136732388MaRDI QIDQ2133293

Lihua Deng, Haifeng Shang, Zhaoxia Li

Publication date: 29 April 2022

Published in: AIMS Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.3934/math.2021330

zbMATH Keywords

global well-posednesstemporal decay\(d\)-dimensional (dD) tropical climate model

Mathematics Subject Classification ID

Asymptotic behavior of solutions to PDEs (35B40) PDEs in connection with fluid mechanics (35Q35) Geophysical flows (76U60) Climate science and climate modeling (86A08)

Related Items

Global regularity for the tropical climate model with fractional diffusion ⋮ Liouville-type theorems for 3D stationary tropical climate model in mixed local Morrey spaces ⋮ A regularity criterion for a 3D tropical climate model with damping

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
• Local well-posedness for the tropical climate model with fractional velocity diffusion
• Global regularity for a class of 2D generalized tropical climate models
• Global regularity results for the climate model with fractional dissipation
• 2D tropical climate model with fractional dissipation and without thermal diffusion
• Global regularity for a 2D tropical climate model with fractional dissipation
• The Boltzmann equation, Besov spaces, and optimal time decay rates in \(\mathbb{R}_x^n\)
• Large scale dynamics of precipitation fronts in the tropical atmosphere: a novel relaxation limit
• A tropical atmosphere model with moisture: global well-posedness and 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
• Decay of Dissipative Equations and Negative Sobolev Spaces
• Decay rate of unique global solution for a class of 2D tropical climate model
• On the global well‐posedness of the tropical climate model