On the magnetohydrodynamic type equations in a new class of non-cylindrical domains

Luigi C. Berselli; Jorge Ferreira

Bollettino dell'Unione Matematica Italiana (1999)

  • Volume: 2-B, Issue: 2, page 365-382
  • ISSN: 0392-4041

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Berselli, Luigi C., and Ferreira, Jorge. "On the magnetohydrodynamic type equations in a new class of non-cylindrical domains." Bollettino dell'Unione Matematica Italiana 2-B.2 (1999): 365-382. <http://eudml.org/doc/194895>.

@article{Berselli1999,
author = {Berselli, Luigi C., Ferreira, Jorge},
journal = {Bollettino dell'Unione Matematica Italiana},
keywords = {existence; uniqueness; incompressible magnetohydrodynamic fluid; finite electrical conductivity; hydrostatic pressure; Galerkin's spectral method},
language = {eng},
month = {6},
number = {2},
pages = {365-382},
publisher = {Unione Matematica Italiana},
title = {On the magnetohydrodynamic type equations in a new class of non-cylindrical domains},
url = {http://eudml.org/doc/194895},
volume = {2-B},
year = {1999},
}

TY - JOUR
AU - Berselli, Luigi C.
AU - Ferreira, Jorge
TI - On the magnetohydrodynamic type equations in a new class of non-cylindrical domains
JO - Bollettino dell'Unione Matematica Italiana
DA - 1999/6//
PB - Unione Matematica Italiana
VL - 2-B
IS - 2
SP - 365
EP - 382
LA - eng
KW - existence; uniqueness; incompressible magnetohydrodynamic fluid; finite electrical conductivity; hydrostatic pressure; Galerkin's spectral method
UR - http://eudml.org/doc/194895
ER -

References

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  2. ERINGEN, A. C.- MAUGIN, G. A., Electrodynamics of Continua, volume 2, Springer, Berlin (1989). 
  3. FUJITA, H.- SAUER, N., Construction of weak solutions of the navier-stokes equations in a non-cylindrical domain, Bull. Amer. Mat. Soc, 75 (1969), 465-468. Zbl0194.41401MR239290
  4. LASSNER, G., Über ein rand-anfangswert-problem der magnetohydrodinamik, Arch. Rational. Mech. Anal., 25 (1967), 388-405. Zbl0152.45502MR216809
  5. JACKSON, J. D., Classical Electrodynamics, 2 edition, J. Wiley and Sons Inc. (1975). Zbl0114.42903MR436782
  6. BOLDRINI, J. L.- ROJAS-MEDAR, M. A., On a system of evolution equations of magnetohydrodynamic type, Mat. Contemp., 8 (1995), 1-19. Zbl0854.35087MR1330029
  7. LIONS, J. L., Une remarque sur les problèmes d'evolution non linéaires dans des domains non cylindriques, Rev. Roumaine Math. Pures Appl., 9 (1964), 11-18. Zbl0178.12302MR213715
  8. LIONS, J. L., Quelque méthodes de résolution des problèmes aux limites non-lineaires, Dunod Gauthier-Villars (1969). Zbl0189.40603MR259693
  9. LADYZHENSKAYA, O. A., The Mathematical Theory of Viscous Incompressible Flow, Gordon and Breach (1969). Zbl0184.52603MR254401
  10. LIMACO, J., Navier-Stokes equations in non cylindrical domains, to appear. 
  11. ROJAS-MEDAR, M.- BELTRÁN BARRIOS, R., The initial value problem for the equations of magnetohydrodynamic type in non-cylindrical domains, Rev. Mat. Un. Comp. Madrid, 8 (1995), 229-251. Zbl0844.35094MR1356444
  12. ROJAS-MEDAR, M. A.- BOLDRINI, J. L., Global strong solutions of equations of magnetohydrodynamic type, to appear. Zbl0888.35086MR1437958
  13. DAL PASSO, R.- UGHI, M., Problème de Dirichlet pour une classe d'équations paraboliques non linéaires dans des ouverts non cylindriques, C. R. Acad. Sci. Paris, 308 (1989), 555-558. Zbl0696.35088MR999454
  14. SCHLÜTER, , Dynamic der plasmas I, II, Z. Naturforsch., 5a-6a (1950-51), 72-78, 73-79. Zbl0042.22404
  15. KATO, T.- FUJITA, H., On the Navier-Stokes initial value problem I., Arch. Rational. Mech. Anal., 16 (1964), 269-315. Zbl0126.42301MR166499
  16. TEMAM, R., Navier-Stokes Equations. Theory and Numerical Analysis, 3rd edition, North-Holland (1984). Zbl0568.35002

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