Longtime dynamics of a conductive fluid in the presence of a strong magnetic field
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- by C. Bardos, C. Sulem and P.-L. Sulem PDF
- Trans. Amer. Math. Soc. 305 (1988), 175-191 Request permission
Abstract:
We prove existence in the large of localized solutions to the MHD equations for an ideal conducting fluid subject to a strong magnetic field. We show that, for large time, the dynamics may reduce to linear Alfven waves.References
- Robert H. Kraichnan, Lagrangian-history closure approximation for turbulence, Phys. Fluids 8 (1965), 575–598. MR 192728, DOI 10.1063/1.1761271 U. Frisch, A. Pouquet, P. L. Sulem and M. Meneguzzi, J. Méc. Théor. Appl., Special issue on two dimensional turbulence, 1983, pp. 191-216.
- S. Klainerman, On “almost global” solutions to quasilinear wave equations in three space dimensions, Comm. Pure Appl. Math. 36 (1983), no. 3, 325–344. MR 697468, DOI 10.1002/cpa.3160360304
- Catherine Sulem, Quelques résultats de régularité pour les équations de la magnétohydrodynamique, C. R. Acad. Sci. Paris Sér. A-B 285 (1977), no. 5, A365–A368 (French, with English summary). MR 442517
- Olga A. Ladyzhenskaya and Nina N. Ural’tseva, Linear and quasilinear elliptic equations, Academic Press, New York-London, 1968. Translated from the Russian by Scripta Technica, Inc; Translation editor: Leon Ehrenpreis. MR 0244627
- C. Bardos and U. Frisch, Finite-time regularity for bounded and unbounded ideal incompressible fluids using Hölder estimates, Turbulence and Navier-Stokes equations (Proc. Conf., Univ. Paris-Sud, Orsay, 1975) Lecture Notes in Math., Vol. 565, Springer, Berlin, 1976, pp. 1–13. MR 0467034
- Sergiu Klainerman, Global existence for nonlinear wave equations, Comm. Pure Appl. Math. 33 (1980), no. 1, 43–101. MR 544044, DOI 10.1002/cpa.3160330104
Additional Information
- © Copyright 1988 American Mathematical Society
- Journal: Trans. Amer. Math. Soc. 305 (1988), 175-191
- MSC: Primary 35Q99; Secondary 76W05
- DOI: https://doi.org/10.1090/S0002-9947-1988-0920153-5
- MathSciNet review: 920153