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UID:4839@i2m.univ-amu.fr
DTSTART;TZID=Europe/Paris:20230627T110000
DTEND;TZID=Europe/Paris:20230627T120000
DTSTAMP:20240524T072506Z
URL:https://www.i2m.univ-amu.fr/evenements/tba-26-2/
SUMMARY: (...): A nonlinear elliptic PDE from atmospheric science: well-pos
 edness and regularity at cloud edge
DESCRIPTION:: To describe the atmosphere on a synoptic scale (the scale at 
 which weather fronts are apparent on a weather map\, for example) one may 
 use the quasi-geostrophic equations\, which are derived as a limit of the 
 classical Boussinesq system under the assumptions of fast rotation and str
 ong stratification. When incorporating the dynamics of water content in th
 e atmosphere\, a.k.a. moisture\, one may then study the moist Boussinesq e
 quations and its limit\, the precipitating quasi-geostrophic equations.\n\
 nThese models are important for atmospheric scientists in light of the rol
 e that the water cycle plays in atmospheric dynamics\, notably through ene
 rgy budgeting (such as for example when latent heat release contributes to
  storm formation). Mathematically\, these models present interesting chall
 enges due to the presence of boundaries\, whose locations are a priori unk
 nown\, between phases saturated and unsaturated in water (schematically: b
 oundaries between clouds and their surroundings).\n\nIn particular\, while
  the (dry) quasi-geostrophic equations rely on the inversion of a Laplacia
 n\, this becomes a much trickier adversary in the presence of free boundar
 ies. In this talk we will discuss how this nonlinear equation underpinning
  the precipitating quasi-geostrophic equations can be characterized using 
 a variational formulation and we will describe the many benefits one may d
 erive from this formulation.
CATEGORIES:Séminaire,Analyse Appliquée
LOCATION:I2M Chateau-Gombert - CMI\, Salle de Séminaire R164 (1er étage)\
 , 39 Rue Joliot Curie\, 13013 Marseille\, France\, Campus Château-Gombert
 \, 
X-APPLE-STRUCTURED-LOCATION;VALUE=URI;X-ADDRESS=39 Rue Joliot Curie\, 13013
  Marseille\, France\, Campus Château-Gombert\, ;X-APPLE-RADIUS=100;X-TITL
 E=I2M Chateau-Gombert - CMI\, Salle de Séminaire R164 (1er étage):geo:0,
 0
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DTSTART:20230326T030000
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TZOFFSETTO:+0200
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