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

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Abstract

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

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Authors and Affiliations

  1. Dipartimento di Matematica ed Applicazioni, Università di Palermo, via Archirafi, 34, 90123 Palermo, Italy, Tel.: 091.60.40.412, Fax: 091.616.5425,  

    Stefania Buccellato

  2. Dipartimento di Matematica, Università di Torino, via Carlo Alberto, 10, 10123 Torino, Italy, Tel.: 011.670.28.62, Fax: 011.670.2878,  

    Hisao Fujita Yashima

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  1. Stefania Buccellato
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  2. Hisao Fujita Yashima
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Buccellato, S., Yashima, H.F. Stability of the equilibrium state of the equation system of a viscous barotropic gas in the model of atmosphere. Ann. Univ. Ferrara 52, 1–17 (2006). https://doi.org/10.1007/s11565-006-0001-x

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

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