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.
This is a preview of subscription content, log in via an institution to check access.
Similar content being viewed by others
References
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)
Ducomet B., Feireisl E., On the dynamics of gaseous stars, Arch. Ration. Mech. Anal., 2004, 174, 221–266
Feireisl E., Dynamics of viscous compressible fluids, Oxford Lecture Series in Mathematics and its Applications, Oxford University Press, Oxford, 2004, 26
Feireisl E., Mathematical theory of compressible viscous and heat conducting fluids, Comput. Math. Appl., 2007, 53, 461–490
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
Feireisl E., Novotný A., Singular limits in thermodynamics of viscous fluids, Springer, to appear
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
Feireisl E., Petzeltová H., Trivisa K., Multicomponent reactive flows: Global-in-time existence for large data, preprint
Leray J., Sur le mouvement d’un liquide visqueux emplissant l’espace, Acta Math., 1934, 63, 193–248
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
Murat F., Compacité par compensation, Ann. Scuola Norm. Sup. Pisa Cl. Sci., 1978, 5, 489–507 Lukáš Poul
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
Poul L., Existence of weak solutions to the Navier-Stokes-Fourier system on Lipschitz domains, Discrete Contin. Dyn. Syst., 2007
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
Poul L., On Dynamics of fluids in astrophysics, preprint
Stein E.M., Singular integrals and differentiability properties of functions, Princeton Mathematical Series, Princeton University Press, Princeton, 1970, 30
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
Author information
Authors and Affiliations
About this article
Cite this article
Poul, L. On dynamics of fluids in meteorology. centr.eur.j.math. 6, 422–438 (2008). https://doi.org/10.2478/s11533-008-0032-x
Received:
Accepted:
Published:
Issue Date:
DOI: https://doi.org/10.2478/s11533-008-0032-x