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Milan Journal of Mathematics

, Volume 82, Issue 1, pp 99–128 | Cite as

Phase Transition Models in Atmospheric Dynamics

  • Arthur Bousquet
  • Michele Coti Zelati
  • Roger Temam
Article

Abstract

Abstract From both the theoretical and numerical viewpoints, we study a system of differential inclusions describing the evolution of the temperature and the specific humidity distributions in a system of moist air. We allow the so-called saturation concentration parameter to depend on the temperature, and thus we consider more general and interesting phase-change effects than the ones addressed in [2].

Mathematics Subject Classification (2010)

Primary 35Q35 Secondary 35B30 76D03 86A10 

Keywords

Atmospheric equations specific humidity saturation phase-change variational inequalities differential inclusions finite volumes upwind discretization methods 

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Copyright information

© Springer Basel 2014

Authors and Affiliations

  • Arthur Bousquet
    • 1
  • Michele Coti Zelati
    • 1
  • Roger Temam
    • 1
  1. 1.Indiana University – Institute for Scientific Computing and Applied MathematicsBloomingtonUSA

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