Search results for "equilibrium state"

showing 2 items of 2 documents

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

2006

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

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 PhysicsANNALI DELL'UNIVERSITA' DI FERRARA
researchProduct

The dissipative linear Boltzmann equation for hard spheres

2005

The authors prove existence and uniqueness of a Maxwellian, normalized equilibrium state for a dissipative linear Boltzmann equation with hard-sphere collision kernel modeling a granular gas and, for initial data with finite temperature and entropy, strong L 1 convergence (obtained through compactness arguments) toward the equilibrium of the solutions in the space-homogeneous case. The form of the equilibrium state, which is universal for the family of collision operators including hard, soft and Maxwellian interactions, is guessed through a grazing collision asymptotics and then proved to be the equilibrium state through Fourier analysis. Uniqueness and strong L 1 convergence proofs follow…

linear Fokker–Planck equationtrend to equilibrium.Granular gaseequilibrium state
researchProduct