Phase transition models in atmospheric dynamics

DOI10.1007/s00032-014-0213-yzbMath1319.35181OpenAlexW2089419479MaRDI QIDQ2254956

Arthur Bousquet, Roger M. Temam, Michele Coti Zelati

Publication date: 6 February 2015

Published in: Milan Journal of Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s00032-014-0213-y

zbMATH Keywords

differential inclusionsvariational inequalitiesphase-changesaturationfinite volumesatmospheric equationsspecific humidityupwind discretization methods

Mathematics Subject Classification ID

Related Items (13)

Numerical simulations of the humid atmosphere above a mountain ⋮ 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 ⋮ Global well-posedness for the thermodynamically refined passively transported nonlinear moisture dynamics with phase changes ⋮ Global well-posedness for the primitive equations coupled to nonlinear moisture dynamics with phase changes ⋮ Global well-posedness of a model for precipitating convection with hydrostatic pressure under fast autoconversion and rain evaporation conditions ⋮ Numerical Approximation of a Variational Inequality Related to the Humid Atmosphere ⋮ Mathematical analysis of a cloud resolving model including the ice microphysics ⋮ Fast-wave averaging with phase changes: asymptotics and application to moist atmospheric dynamics ⋮ Effects of clouds and phase changes on fast-wave averaging: a numerical assessment ⋮ Formulation of the equations of the humid atmosphere in the context of variational inequalities ⋮ Global attractor of atmospheric equations ⋮ The strong solutions to the primitive equations coupled with multi-phase moisture atmosphere

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Elliptic boundary value problems on corner domains. Smoothness and asymptotics of solutions
• Maximum principles for the primitive equations of the atmosphere
• The equations of the atmosphere with humidity and saturation: uniqueness and physical bounds
• New formulations of the primitive equations of atmosphere and applications
• Finite Volume Methods for Hyperbolic Problems
• The primitive equations of the atmosphere in presence of vapour saturation
• A cell-centred finite-volume approximation for anisotropic diffusion operators on unstructured meshes in any space dimension
• Regularity results for the stationary primitive equations of the atmosphere and the ocean
• Nonlinear Differential Equations of Monotone Types in Banach Spaces

This page was built for publication: Phase transition models in atmospheric dynamics