The Atmospheric Equation of Water Vapor with Saturation

Michele Coti Zelati; Roger Temam

Bollettino dell'Unione Matematica Italiana (2012)

  • Volume: 5, Issue: 2, page 309-336
  • ISSN: 0392-4041

Abstract

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We analyze the equation of water vapor content in the atmosphere taking into account the saturation phenomenon. This equation is considered alone or coupled with the equation describing the evolution of the temperature T . The concentration of water vapor q belongs to the interval [ 0 , 1 ] and the saturation concentration q s ( 0 , 1 ) is the threshold after which the vapor condensates and becomes water (rain). The equation for q (as well as the coupled q - T system) thus accounts for possible change of phase.

How to cite

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Coti Zelati, Michele, and Temam, Roger. "The Atmospheric Equation of Water Vapor with Saturation." Bollettino dell'Unione Matematica Italiana 5.2 (2012): 309-336. <http://eudml.org/doc/290821>.

@article{CotiZelati2012,
abstract = {We analyze the equation of water vapor content in the atmosphere taking into account the saturation phenomenon. This equation is considered alone or coupled with the equation describing the evolution of the temperature $T$. The concentration of water vapor $q$ belongs to the interval $[0, 1]$ and the saturation concentration $q_\{s\} \in (0, 1)$ is the threshold after which the vapor condensates and becomes water (rain). The equation for $q$ (as well as the coupled $q-T$ system) thus accounts for possible change of phase.},
author = {Coti Zelati, Michele, Temam, Roger},
journal = {Bollettino dell'Unione Matematica Italiana},
language = {eng},
month = {6},
number = {2},
pages = {309-336},
publisher = {Unione Matematica Italiana},
title = {The Atmospheric Equation of Water Vapor with Saturation},
url = {http://eudml.org/doc/290821},
volume = {5},
year = {2012},
}

TY - JOUR
AU - Coti Zelati, Michele
AU - Temam, Roger
TI - The Atmospheric Equation of Water Vapor with Saturation
JO - Bollettino dell'Unione Matematica Italiana
DA - 2012/6//
PB - Unione Matematica Italiana
VL - 5
IS - 2
SP - 309
EP - 336
AB - We analyze the equation of water vapor content in the atmosphere taking into account the saturation phenomenon. This equation is considered alone or coupled with the equation describing the evolution of the temperature $T$. The concentration of water vapor $q$ belongs to the interval $[0, 1]$ and the saturation concentration $q_{s} \in (0, 1)$ is the threshold after which the vapor condensates and becomes water (rain). The equation for $q$ (as well as the coupled $q-T$ system) thus accounts for possible change of phase.
LA - eng
UR - http://eudml.org/doc/290821
ER -

References

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