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2008 | 6 | 3 | 422-438
Tytuł artykułu

On dynamics of fluids in meteorology

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Treść / Zawartość
Warianty tytułu
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.
Wydawca
Czasopismo
Rocznik
Tom
6
Numer
3
Strony
422-438
Opis fizyczny
Daty
wydano
2008-09-01
online
2008-07-02
Twórcy
autor
Bibliografia
  • [1] Bogovskii M.E., Solutions of some problems of vector analysis associated with the operators div and grad, Trudy Sem. S. L. Soboleva, Akad. Nauk SSSR Sibirsk. Otdel., Novosibirsk, 1980, 149, 5–40 (in Russian)
  • [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
  • [7] Feireisl E., Novotný A., Petzeltová H., On the domain dependence of solutions to the compressible Navier-Stokes equations of a barotropic fluid, Math. Methods Appl. Sci., 2002, 25, 1045–1073 http://dx.doi.org/10.1002/mma.327
  • [8] Feireisl E., Petzeltová H., Trivisa K., Multicomponent reactive flows: Global-in-time existence for large data, preprint
  • [9] Leray J., Sur le mouvement d’un liquide visqueux emplissant l’espace, Acta Math., 1934, 63, 193–248 http://dx.doi.org/10.1007/BF02547354
  • [10] Lions P.-L., Mathematical topics in fluid dynamics, Compressible models, Oxford Lecture Series in Mathematics and its Applications, Oxford Science Publications, The Clarendon Press, Oxford University Press, New York, 1998, 10
  • [11] Murat F., Compacité par compensation, Ann. Scuola Norm. Sup. Pisa Cl. Sci., 1978, 5, 489–507 Lukáš Poul
  • [12] Novotný A., Straškraba I., Introduction to the mathematical theory of compressible flow, Oxford Lecture Series in Mathematics and its Applications, Oxford University Press, Oxford, 2004, 27
  • [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
Typ dokumentu
Bibliografia
Identyfikatory
Identyfikator YADDA
bwmeta1.element.doi-10_2478_s11533-008-0032-x
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