dc.contributor.author
Hittmeir, Sabine
dc.contributor.author
Klein, Rupert
dc.contributor.author
Li, Jinkai
dc.contributor.author
Titi, Edriss S.
dc.date.accessioned
2024-05-21T11:55:58Z
dc.date.available
2024-05-21T11:55:58Z
dc.identifier.uri
https://refubium.fu-berlin.de/handle/fub188/43638
dc.identifier.uri
http://dx.doi.org/10.17169/refubium-43353
dc.description.abstract
In this work we study the global solvability of moisture dynamics with phase changes for warm clouds. We thereby in comparison to previous studies (Hittmeir et al. in Nonlinearity 30:3676–3718, 2017) take into account the different gas constants for dry air and water vapor as well as the different heat capacities for dry air, water vapor and liquid water, which leads to a much stronger coupling of the moisture balances and the thermodynamic equation. This refined thermodynamic setting has been demonstrated to be essential, e.g. in the case of deep convective cloud columns in Hittmeir and Klein (Theoret Comput Fluid Dyn 32(2):137–164, 2017). The more complicated structure requires careful derivations of sufficient a priori estimates for proving global existence and uniqueness of solutions.
en
dc.format.extent
24 Seiten
dc.rights.uri
https://creativecommons.org/licenses/by/4.0/
dc.subject
Well-posedness for nonlinear moisture dynamics
en
dc.subject
Primitive equations
en
dc.subject
Moisture model for warm clouds with phase transition
en
dc.subject.ddc
500 Naturwissenschaften und Mathematik::510 Mathematik::510 Mathematik
dc.title
Global Well-Posedness for the Thermodynamically Refined Passively Transported Nonlinear Moisture Dynamics with Phase Changes
dc.type
Wissenschaftlicher Artikel
dcterms.bibliographicCitation.articlenumber
98
dcterms.bibliographicCitation.doi
10.1007/s00332-023-09915-z
dcterms.bibliographicCitation.journaltitle
Journal of Nonlinear Science
dcterms.bibliographicCitation.number
5
dcterms.bibliographicCitation.volume
33
dcterms.bibliographicCitation.url
https://doi.org/10.1007/s00332-023-09915-z
refubium.affiliation
Mathematik und Informatik
refubium.affiliation.other
Institut für Mathematik

refubium.resourceType.isindependentpub
no
dcterms.accessRights.openaire
open access
dcterms.isPartOf.eissn
1432-1467
refubium.resourceType.provider
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