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CATEGORIES:Isaac Newton Institute Seminar Series
SUMMARY:From the compressible Navier-Stokes equations to t
he primitive equations - Xin Liu (Texas A&\;M U
niversity)
DTSTART;TZID=Europe/London:20220517T121500
DTEND;TZID=Europe/London:20220517T131500
UID:TALK173555AThttp://talks.cam.ac.uk
URL:http://talks.cam.ac.uk/talk/index/173555
DESCRIPTION:The compressible Navier-Stokes equations with smal
l Mach number\, it is classical to approximate the
dynamics using the incompressible Navier-Stokes/B
oussinesq equations\, and rigorous mathematical ju
stification has been available and widely discusse
d\, at least in the case without any boundary. Wit
h development of the mathematical theory of the pr
imitive equations\, the small aspect ratio limit o
f the incompressible Navier-Stokes equations has b
een studied\, and rigorous proof has shown the rig
idity of the primitive equations as a hydrostatic
approximation. We consider the interchange of the
aforementioned asymptotic limits\, and establish t
he compressible primitive equations as the interme
diate model. It is important to note that\, the co
mpressible primitive equations are the starting po
int of moden weather prediction and climate study\
, and capture both the acoustic waves due to compr
essibility and the hydrostatic approximation due t
o small aspect ratio between vertical and horizont
al characteristic scales. Both well-posedness theo
ry and asymptotic limits are investigated for isen
tropic flows.
LOCATION:Seminar Room 1\, Newton Institute
CONTACT:
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