On dynamics of fluids in meteorology

• Autorzy: Lukáš Poul
• Języki publikacji: EN

Abstrakty

EN

We consider the full Navier-Stokes-Fourier system of equations on an unbounded domain with prescribed nonvanishing boundary conditions for the density and temperature at infinity. The topic of this article continues author’s previous works on existence of the Navier-Stokes-Fourier system on nonsmooth domains. The procedure deeply relies on the techniques developed by Feireisl and others in the series of works on compressible, viscous and heat conducting fluids.

Słowa kluczowe

EN

unbounded domains; Navier-Stokes-Fourier system; compressible fluid flow; weak solutions

• Wydawca: De Gruyter Open
• Czasopismo: Open Mathematics
• Rocznik: 2008
• Tom: 6
• Numer: 3
• Strony: 422-438

Daty

wydano

2008-09-01

online

2008-07-02

Twórcy

autor

Lukáš Poul

• Institute of Mathematics, Academy of Sciences of the Czech Republic

Bibliografia

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• [2] Ducomet B., Feireisl E., On the dynamics of gaseous stars, Arch. Ration. Mech. Anal., 2004, 174, 221–266 http://dx.doi.org/10.1007/s00205-004-0326-5
• [3] Feireisl E., Dynamics of viscous compressible fluids, Oxford Lecture Series in Mathematics and its Applications, Oxford University Press, Oxford, 2004, 26
• [4] Feireisl E., Mathematical theory of compressible viscous and heat conducting fluids, Comput. Math. Appl., 2007, 53, 461–490 http://dx.doi.org/10.1016/j.camwa.2006.02.042
• [5] Feireisl E., Novotný A., On a simple model of reacting compressible flows arising in astrophysics, Proc. Roy. Soc. Edinburgh Sect. A, 2005, 135, 1169–1194 http://dx.doi.org/10.1017/S0308210500004327
• [6] Feireisl E., Novotný A., Singular limits in thermodynamics of viscous fluids, Springer, to appear
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• [8] Feireisl E., Petzeltová H., Trivisa K., Multicomponent reactive flows: Global-in-time existence for large data, preprint
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• [13] Poul L., Existence of weak solutions to the Navier-Stokes-Fourier system on Lipschitz domains, Discrete Contin. Dyn. Syst., 2007
• [14] Poul L., On the Oxenius-like model of fluid flow in the unbounded domain case, to appear in WDS’07 Proceedings of Contributed Papers: Part I - Mathematics and Computer Sciences (eds. J. Safrankova and J. Pavlu Prague, Matfyzpress 2007
• [15] Poul L., On Dynamics of fluids in astrophysics, preprint
• [16] Stein E.M., Singular integrals and differentiability properties of functions, Princeton Mathematical Series, Princeton University Press, Princeton, 1970, 30
• [17] Tartar L., Compensated compactness and applications to partial differential equations, Nonlinear analysis and mechanics: Heriot-Watt Symposium, Res. Notes in Math., Pitman, Boston, Mass.-London, 1979, 39, 136–212

Identyfikatory

DOI

10.2478/s11533-008-0032-x