We consider the system of equations of viscous gas motion whose pressure is related to the density by the law p=hϱγ with 1<γ <2, in a domain defined by two levels of geopotential. Under the force due to geopotential and the Coriolis force, we prove the stability of the equilibrium state in a suitable Sobolev space
BUCCELLATO SM, H FUJITA YASHIMA (2006). Stability of the equilibrium state of the equation system of a viscous barotropic gas in the model of atmosphere. ANNALI DELL'UNIVERSITÀ DI FERRARA. SCIENZE MATEMATICHE, 52(1), 1-17 [10.1007/s11565-006-0001-x].
Stability of the equilibrium state of the equation system of a viscous barotropic gas in the model of atmosphere
BUCCELLATO, Stefania Maria;
2006-01-01
Abstract
We consider the system of equations of viscous gas motion whose pressure is related to the density by the law p=hϱγ with 1<γ <2, in a domain defined by two levels of geopotential. Under the force due to geopotential and the Coriolis force, we prove the stability of the equilibrium state in a suitable Sobolev space
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