6533b7d1fe1ef96bd125d748

RESEARCH PRODUCT

Stability of the equilibrium state of the equation system of a viscous barotropic gas in the model of atmosphere

Stefania Maria BuccellatoHisao Fujita Yashima

subject

Equilibrium pointPhysicsViscous barotropic gasGeopotentialThermodynamic equilibriumGeneral MathematicsMathematical analysisSystem of linear equationsPhysics::GeophysicsSobolev spaceRadiative equilibriumEquilibrium thermodynamicsViscous barotropic gas; Equilibrium state; Coriolis forceBarotropic fluidEquilibrium stateCoriolis forcePhysics::Atmospheric and Oceanic Physics

description

We consider the system of equations of viscous gas motion whose pressure is related to the density by the law $p = h \varrho^\gamma$ 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. Keywords: Viscous barotropic gas, Equilibrium state, Coriolis force Mathematics Subject Classification (2000): 35Q35, 76N15

https://doi.org/10.1007/s11565-006-0001-x