Global regularity for the tropical climate model with fractional diffusion on barotropic mode

DOI10.1016/j.aml.2018.02.003OpenAlexW2793885101MaRDI QIDQ1749473

Mingxuan Zhu

Publication date: 16 May 2018

Published in: Applied Mathematics Letters (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.aml.2018.02.003

zbMATH Keywords

global regularityfractional diffusiontropical climate model

Mathematics Subject Classification ID

Smoothness and regularity of solutions to PDEs (35B65) PDEs in connection with fluid mechanics (35Q35) Magnetohydrodynamics and electrohydrodynamics (76W05) Meteorology and atmospheric physics (86A10) Existence, uniqueness, and regularity theory for incompressible viscous fluids (76D03)

Related Items (16)

Global Well-Posedness for the 3D Tropical Climate Model without Thermal Diffusion ⋮ A regularity criterion for a 2D tropical climate model with fractional dissipation ⋮ Global regularity for the tropical climate model with fractional diffusion ⋮ Global strong solutions of the 2D tropical climate system with temperature-dependent viscosity ⋮ Global strong solutions and large-time behavior of 2D tropical climate model ⋮ Local well-posedness for 2D stochastic tropical climate model ⋮ Global strong solutions and large‐time behavior of 2D tropical climate model with zero thermal diffusion ⋮ Global strong solutions of the tropical climate model with temperature-dependent diffusion on the barotropic mode ⋮ Global regularity for the 3D tropical climate model with damping ⋮ Global large solution for the tropical climate model with diffusion ⋮ Global strong solution of 3D tropical climate model with damping ⋮ Unnamed Item ⋮ A new blow-up criterion for the 2D generalized tropical climate model ⋮ Regularity and global existence on the 3D tropical climate model ⋮ A regularity criterion for a 3D tropical climate model with damping ⋮ Global regularity of \(n\) dimensional generalized MHD equations without magnetic diffusion

Cites Work

• Unnamed Item
• Global well-posedness of strong solutions to a tropical climate model
• Global regularity for a class of 2D tropical climate model
• On global regularity of 2D generalized magnetohydrodynamic equations
• Global Cauchy problem of 2D generalized MHD equations
• Local well-posedness for the tropical climate model with fractional velocity diffusion
• A regularity criterion for the 2D MHD system with zero magnetic diffusivity
• Remarks on the blowup criteria for Oldroyd models
• Generalized MHD equations.
• Spectral analysis and global well-posedness for a viscous tropical climate model with only a damp term
• Mathematical results related to a two-dimensional magneto-hydrodynamic equations
• Large scale dynamics of precipitation fronts in the tropical atmosphere: a novel relaxation limit
• Global small solutions to a tropical climate model without thermal diffusion
• Commutator estimates and the euler and navier-stokes equations
• Well-Posedness of the Initial Value Problem for the Korteweg-de Vries Equation
• Limiting case of the Sobolev inequality in BMO, with application to the Euler equations

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