Equations of magnetohydrodynamics: periodic solutions

Milan Štědrý; Otto Vejvoda

Časopis pro pěstování matematiky (1986)

  • Volume: 111, Issue: 2, page 177-184
  • ISSN: 0528-2195

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Štědrý, Milan, and Vejvoda, Otto. "Equations of magnetohydrodynamics: periodic solutions." Časopis pro pěstování matematiky 111.2 (1986): 177-184. <http://eudml.org/doc/21641>.

@article{Štědrý1986,
author = {Štědrý, Milan, Vejvoda, Otto},
journal = {Časopis pro pěstování matematiky},
keywords = {external forces; existence; time-periodic solution; viscous incompressible and electrically conducting fluid},
language = {eng},
number = {2},
pages = {177-184},
publisher = {Mathematical Institute of the Czechoslovak Academy of Sciences},
title = {Equations of magnetohydrodynamics: periodic solutions},
url = {http://eudml.org/doc/21641},
volume = {111},
year = {1986},
}

TY - JOUR
AU - Štědrý, Milan
AU - Vejvoda, Otto
TI - Equations of magnetohydrodynamics: periodic solutions
JO - Časopis pro pěstování matematiky
PY - 1986
PB - Mathematical Institute of the Czechoslovak Academy of Sciences
VL - 111
IS - 2
SP - 177
EP - 184
LA - eng
KW - external forces; existence; time-periodic solution; viscous incompressible and electrically conducting fluid
UR - http://eudml.org/doc/21641
ER -

References

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  1. E. B. Byhovskii, A solution of a mixed problem for the system of Maxwell's equations in the case of ideally conducting boundary, (Russian) Vestnik Leningradskogo Universiteta, No 13 (1957), 50-66. (1957) MR0098567
  2. O. A. Ladyženskaja, Mathematical Problems of the Dynamics of Viscous Incompressible Liquid, (Russian) Nauka, Moskva, 1970. (1970) MR0271559
  3. O. A. Ladyženskaja V. A. Solonnikov, Solutions of some non-stationary problems of magnetohydrodynamics for incompressible fluid, (Russian) Trudy Mat. Inst. V. A. Steklova, 29(1960), 115-173. (1960) MR0170130
  4. O. A. Ladyženskaja V. A. Solonnikov, On the principle of linearization and invariant manifolds in problems of magnetohydrodynamics, (Russian) Zapiski naučnych seminarov LOMI, 38 (1973), 46-93. (1973) MR0377310
  5. J. Moser, A rapidly convergent iteration method and nonlinear partial differential equations, Ann. Scuola Norm. Sup. Pisa, Ser. 3, 20 (1966), 265-315. (1966) MR0199523
  6. J. A. Shercliff, A Textbook of Magnetohydrodynamics, Pergamon, Oxford 1965. (1965) MR0185961
  7. M. Štědrý O. Vejvoda, Small time-periodic solutions of equations of magnetohydrodynamics as a singularly perturbed problem, Aplikace matematiky 28 (1983), 344-356. (1983) MR0712911
  8. M. Štědrý O. Vejvoda, Equations of magnetohydrodynamics of compressible fluid: periodic solutions, Aplikace matematiky 30 (1985), 77-91. (1985) MR0778980
  9. L. Stupjalis, A nonstationary problem of magnetohydrodynamics, (Russian) Zapiski naučnych seminarov LOMI, 52 (1975), 175-217. (1975) MR0464896
  10. L. Stupjalis, On solvability of an initial-boundary value problem of magnetohydrodynamics, (Russian) Zapiski naučnych seminarov LOMI, 69 (1977), 219-239. (1977) MR0499834
  11. L. Stupjalis, A nonstationary problem of magnetohydrodynamics in the case of two spatial variables, (Russian) Trudy Mat. Inst. V. A. Steklova, 147 (1980), 156-168. (1980) MR0573906
  12. R. Temam, Navier-Stokes Equations. Theory and Numerical Analysis, North-Holland Publ. Comp. Amsterdam-New York-Oxford, 1979. (1979) Zbl0426.35003

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