Hydrostatic Stokes equations with non-smooth data for mixed boundary conditions

F. Guillén-González; M. A. Rodríguez-Bellido; M. A. Rojas-Medar

Annales de l'I.H.P. Analyse non linéaire (2004)

  • Volume: 21, Issue: 6, page 807-826
  • ISSN: 0294-1449

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Guillén-González, F., Rodríguez-Bellido, M. A., and Rojas-Medar, M. A.. "Hydrostatic Stokes equations with non-smooth data for mixed boundary conditions." Annales de l'I.H.P. Analyse non linéaire 21.6 (2004): 807-826. <http://eudml.org/doc/78640>.

@article{Guillén2004,
author = {Guillén-González, F., Rodríguez-Bellido, M. A., Rojas-Medar, M. A.},
journal = {Annales de l'I.H.P. Analyse non linéaire},
keywords = {Non-smooth boundary data; Transposition method; primitive equations; strong regularity; existence; uniqueness; very weak solution; non-stationary hydrostatic Navier-Stokes equations},
language = {eng},
number = {6},
pages = {807-826},
publisher = {Elsevier},
title = {Hydrostatic Stokes equations with non-smooth data for mixed boundary conditions},
url = {http://eudml.org/doc/78640},
volume = {21},
year = {2004},
}

TY - JOUR
AU - Guillén-González, F.
AU - Rodríguez-Bellido, M. A.
AU - Rojas-Medar, M. A.
TI - Hydrostatic Stokes equations with non-smooth data for mixed boundary conditions
JO - Annales de l'I.H.P. Analyse non linéaire
PY - 2004
PB - Elsevier
VL - 21
IS - 6
SP - 807
EP - 826
LA - eng
KW - Non-smooth boundary data; Transposition method; primitive equations; strong regularity; existence; uniqueness; very weak solution; non-stationary hydrostatic Navier-Stokes equations
UR - http://eudml.org/doc/78640
ER -

References

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  1. [1] Amrouche C., Girault V., Decomposition of vector spaces and application to the Stokes problem in arbitrary dimension, Czechoslovak Math. J44 (119) (1994) 109-140. Zbl0823.35140MR1257940
  2. [2] Azérad P., Guillén F., Mathematical justification of the hydrostatic approximation in the Primitive Equations of qeophysical fluid dynamics, SIAM J. Math. Anal33 (4) (2001) 847-859. Zbl0999.35072MR1884725
  3. [3] Besson O., Laydi M.R., Some estimates for the anisotropic Navier–Stokes equations and for the hydrostatic approximation, M7 (1992) 855-865. Zbl0765.76017MR1199316
  4. [4] Cattabriga L., Sur un problema al contorno relativo al sistema di equazioni di Stokes, Rend. Mat. Sem. Univ. Padova31 (1961) 308-340. Zbl0116.18002MR138894
  5. [5] Chacón T., Guillén F., An intrinsic analysis of existence of solutions for the hydrostatic approximation of the Navier–Stokes equations, C. R. Acad. Sci. Paris, Série I330 (2000) 841-846. Zbl0959.35134MR1769958
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  8. [8] Guillén-González F., Rodríguez-Bellido M.A., On the strong solutions of the Primitive Equations in 2D domains, Nonlin. Anal50 (2002) 621-646. Zbl1013.35066MR1910908
  9. [9] Guillén-González F., Masmoudi N., Rodríguez-Bellido M.A., Anisotropic estimates and strong solutions of the Primitive Equations, Differential Integral Equations14 (11) (2001) 1381-1408. Zbl1161.76454MR1859612
  10. [10] Lewandowski R., Analyse Mathématique et Océanographie, Masson, 1997. 
  11. [11] Lions J.L., Magenes E., Problèmes aux limites non homogènes et applications, vol. 1, Dunod, Paris, 1969. Zbl0165.10801MR247243
  12. [12] Lions J.L., Temam R., Wang S., New formulation of the primitive equations of the atmosphere and applications, Nonlinearity5 (1992) 237-288. Zbl0746.76019MR1158375
  13. [13] Lions J.L., Temam R., Wang S., On the equations of the large scale ocean, Nonlinearity5 (1992) 1007-1053. Zbl0766.35039MR1187737
  14. [14] Pedlosky J., Geophysical Fluid Dynamics, Springer-Verlag, Berlin, 1987. Zbl0429.76001
  15. [15] Temam R., Navier–Stokes Equations: Theory and Numerical Analysis, North Holland, Amsterdam, 1977. Zbl0383.35057MR609732
  16. [16] Ziane M., Regularity results for Stokes type systems, Appl. Anal58 (1995) 263-292. Zbl0837.35030MR1383192

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