Global regularity for a class of 2D tropical climate model

DOI10.1016/j.jmaa.2016.08.053zbMath1353.35097OpenAlexW2512471062MaRDI QIDQ321769

Mohammad Hasan, M. Dambrine

Publication date: 14 October 2016

Published in: Journal of Mathematical Analysis and Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.jmaa.2016.08.053

zbMATH Keywords

tropical atmospheric dynamicsbarotropic and baroclinic modes

Mathematics Subject Classification ID

Smoothness and regularity of solutions to PDEs (35B65) Meteorology and atmospheric physics (86A10) Initial value problems for systems of nonlinear higher-order PDEs (35G55)

Related Items (30)

On well-posedness and blow-up criterion for the 2D tropical climate model ⋮ Global Well-Posedness for the 3D Tropical Climate Model without Thermal Diffusion ⋮ Global well-posedness and large time decay for the d-dimensional tropical climate model ⋮ Energy conservation for the 3D tropical climate model in bounded domains ⋮ 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 regularity for a 2D tropical climate model with fractional dissipation ⋮ Liouville-type theorems for 3D stationary tropical climate model in mixed local Morrey spaces ⋮ Global regularity of 2D tropical climate model with zero thermal diffusion ⋮ Global attractors for a tropical climate model. ⋮ Global strong solutions and large‐time behavior of 2D tropical climate model with zero thermal diffusion ⋮ Global attractors for the three-dimensional tropical climate model with damping terms ⋮ Unnamed Item ⋮ Unnamed Item ⋮ Global strong solutions of the tropical climate model with temperature-dependent diffusion on the barotropic mode ⋮ Global regularity for a class of 2D generalized tropical climate models ⋮ Global regularity for the 3D tropical climate model with damping ⋮ Global regularity for the tropical climate model with fractional diffusion on barotropic mode ⋮ Global regularity results for the climate model with fractional dissipation ⋮ Unnamed Item ⋮ Global regularity for the 2D MHD and tropical climate model with horizontal dissipation ⋮ A new blow-up criterion for the 2D generalized tropical climate model ⋮ Regularity and global existence on the 3D tropical climate model ⋮ Time decay rate of solutions to the tropical climate model equations in ℝⁿ ⋮ On long-time asymptotic behavior for solutions to 2D temperature-dependent tropical climate model ⋮ A regularity criterion for a 3D tropical climate model with damping ⋮ Global smooth solution of 2D temperature-dependent tropical climate model

Cites Work

• Unnamed Item
• Global well-posedness of strong solutions to a tropical climate model
• On global regularity of 2D generalized magnetohydrodynamic equations
• On the global regularity of two-dimensional generalized magnetohydrodynamics system
• Global Cauchy problem of 2D generalized MHD equations
• Global regularity for the 2D MHD equations with mixed partial dissipation and magnetic diffusion
• BKM's criterion and global weak solutions for magnetohydrodynamics with zero viscosity
• Global regularity of 2D almost resistive MHD equations
• A remark on global regularity of 2D generalized magnetohydrodynamic equations
• Remarks on global regularity of 2D generalized MHD equations
• Global regularity of 2D generalized MHD equations with magnetic diffusion
• Global regularity of the two-dimensional incompressible generalized magnetohydrodynamics system
• Large scale dynamics of precipitation fronts in the tropical atmosphere: a novel relaxation limit
• Remarks on the global regularity of the two-dimensional magnetohydrodynamics system with zero dissipation
• Global small solutions to a tropical climate model without thermal diffusion
• Commutator estimates and the euler and navier-stokes equations
• A note on limiting cases of sobolev embeddings and convolution inequalities
• Nonlinear Schrödinger evolution equations
• Well-Posedness of the Initial Value Problem for the Korteweg-de Vries Equation
• The 2D Incompressible Magnetohydrodynamics Equations with only Magnetic Diffusion
• Limiting case of the Sobolev inequality in BMO, with application to the Euler equations

This page was built for publication: Global regularity for a class of 2D tropical climate model