# On dynamics of fluids in meteorology

Open Mathematics (2008)

- Volume: 6, Issue: 3, page 422-438
- ISSN: 2391-5455

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topLukáš Poul. "On dynamics of fluids in meteorology." Open Mathematics 6.3 (2008): 422-438. <http://eudml.org/doc/269009>.

@article{LukášPoul2008,

abstract = {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.},

author = {Lukáš Poul},

journal = {Open Mathematics},

keywords = {unbounded domains; Navier-Stokes-Fourier system; compressible fluid flow; weak solutions},

language = {eng},

number = {3},

pages = {422-438},

title = {On dynamics of fluids in meteorology},

url = {http://eudml.org/doc/269009},

volume = {6},

year = {2008},

}

TY - JOUR

AU - Lukáš Poul

TI - On dynamics of fluids in meteorology

JO - Open Mathematics

PY - 2008

VL - 6

IS - 3

SP - 422

EP - 438

AB - 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.

LA - eng

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

UR - http://eudml.org/doc/269009

ER -

## References

top- [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 Zbl1085.76061
- [3] Feireisl E., Dynamics of viscous compressible fluids, Oxford Lecture Series in Mathematics and its Applications, Oxford University Press, Oxford, 2004, 26 Zbl1080.76001
- [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 Zbl1122.76075
- [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 Zbl1130.35108
- [6] Feireisl E., Novotný A., Singular limits in thermodynamics of viscous fluids, Springer, to appear Zbl1176.35126
- [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 Zbl0996.35051
- [8] Feireisl E., Petzeltová H., Trivisa K., Multicomponent reactive flows: Global-in-time existence for large data, preprint Zbl1323.76091
- [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 Zbl0399.46022
- [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 Zbl1088.35051
- [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 Zbl1239.76025
- [16] Stein E.M., Singular integrals and differentiability properties of functions, Princeton Mathematical Series, Princeton University Press, Princeton, 1970, 30 Zbl0207.13501
- [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

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