Existence of weak solutions and trajectory attractors for the moist atmospheric equations in geophysics

DOI10.1063/1.2245207zbMath1112.37079OpenAlexW2066199857MaRDI QIDQ3442009

Daiwen Huang, Bo-ling Guo

Publication date: 16 May 2007

Published in: Journal of Mathematical Physics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1063/1.2245207

Mathematics Subject Classification ID

Related Items (30)

Local well-posedness of strong solution to a climate dynamic model with phase transformation of water vapor ⋮ Existence of a strong solution to moist atmospheric equations with the effects of topography ⋮ Global well-posedness of z-weak solutions to the primitive equations without vertical diffusivity ⋮ Global attractors for the three-dimensional viscous primitive equations of large-scale atmosphere in log-pressure coordinate ⋮ The primitive equations approximation of the anisotropic horizontally viscous \(3D\) Navier-Stokes equations ⋮ On weak-strong uniqueness and singular limit for the compressible primitive equations ⋮ Existence of a strong solution and trajectory attractor for a climate dynamics model with topography effects ⋮ The equations of the multi-phase humid atmosphere expressed as a quasi variational inequality ⋮ Global well-posedness for passively transported nonlinear moisture dynamics with phase changes ⋮ Finite-time blowup for the 2-D viscous primitive equations of ocean and atmosphere dynamic ⋮ An overview of the dynamic framework in earth-system model and its well-posedness ⋮ The existence and asymptotic behavior of solutions to 3D viscous primitive equations with Caputo fractional time derivatives ⋮ On the stability of weak solution for compressible primitive equations ⋮ Global existence of the strong solution to the climate dynamics model with topography effects and phase transformation of water vapor ⋮ Numerical Approximation of a Variational Inequality Related to the Humid Atmosphere ⋮ Uniqueness of the global weak solutions to 2D compressible primitive equations ⋮ The equations of the atmosphere with humidity and saturation: uniqueness and physical bounds ⋮ Mathematical analysis of a cloud resolving model including the ice microphysics ⋮ Global attractor of the three-dimensional primitive equations of large-scale Ocean and atmosphere dynamics ⋮ Strong solutions to the 3D primitive equations with only horizontal dissipation: near \(H^{1}\) initial data ⋮ Finite dimensionality of global attractor for the solutions to 3D viscous primitive equations of large-scale moist atmosphere ⋮ Existence of the universal attractor for the 3-D viscous primitive equations of large-scale moist atmosphere ⋮ Formulation of the equations of the humid atmosphere in the context of variational inequalities ⋮ Upper semicontinuity of trajectory attractors for 3D incompressible Navier-Stokes equation ⋮ Optimal distributed control of the three dimensional primitive equations of large-scale ocean and atmosphere dynamics ⋮ Pullback attractor for nonautonomous primitive equations of large-scale ocean and atmosphere dynamics ⋮ The applications of some basic mathematical inequalities on the convergence of the primitive equations of moist atmosphere ⋮ Approximation of stationary statistical properties of the three-dimensional primitive equations of large-scale ocean and atmosphere dynamics ⋮ The strong solutions to the primitive equations coupled with multi-phase moisture atmosphere ⋮ EXISTENCE OF TIME PERIODIC SOLUTIONS FOR THE 3-D VISCOUS PRIMITIVE EQUATIONS OF LARGE-SCALE DRY ATMOSPHERE

Cites Work

• Attractors for the 3D baroclinic quasi-geostrophic equations of large- scale atmosphere
• Evolution equations and their trajectory attractors
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• Continuous refinement equations and subdivision
• Averaging of trajectory attractors of evolution equations with rapidly oscillating terms
• New formulations of the primitive equations of atmosphere and applications
• On the 2D model of large-scale atmospheric motion: well-posedness and attractors
• A  horizontal  hyper-diffusion three-dimensional thermocline planetary geostrophic model: well-posedness and long-time behaviour
• Global well‐posedness and finite‐dimensional global attractor for a 3‐D planetary geostrophic viscous model
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