Regularity results for the stationary primitive equations of the atmosphere and the ocean

Nonlinear Analysis, Theory, Methods and Applications

Volumn 28, Issue 2, 1997, Pages 289-313

  Ziane, Mohammed ^a  

^a INDIANA UNIVERSITY   (United States)

Author keywords

Oceanography; Primitive equations of the atmosphere; Regularity in domains with corners; Stokes type systems

Indexed keywords

ATMOSPHERIC TURBULENCE; BOUNDARY CONDITIONS; EQUATIONS OF MOTION; EQUATIONS OF STATE; FLUID DYNAMICS; MATHEMATICAL MODELS; NUMERICAL ANALYSIS; THEOREM PROVING; WATER WAVES;

ATMOSPHERIC PRIMITIVE EQUATIONS; IMBEDDING THEOREM; REGULARITY;

NONLINEAR EQUATIONS;

EID: 0030736588     PISSN: 0362546X     EISSN: None     Source Type: Journal    
DOI: 10.1016/0362-546X(95)00154-N     Document Type: Article

References (13)

1. LIONS J.-L., TEMAM R. & WANG S., New formulations of the primitive equations of the atmosphere and applications, Nonlinearity 5, 237-288 (1992).
2. LIONS J.-L., TEMAM R. & WANG S., On the equations of large-scale ocean, Nonlinearity 5, 1007-1053 (1992).
3. LIONS J.-L., TEMAM R. & WANG S., Models of the coupled atmosphere and ocean (CAO I), in Computational Mechanics Advances (Edited by J. T. Oden), Vol. 1, pp. 5-54. Elsevier, Amsterdam (1993).
4. LIONS J.-L., TEMAM R. & WANG S., Mathematical study of the coupled models of atmosphere and ocean (CAO III), J. Math. pures appl. (to appear).
5. ZIANE M. B., Regularity results for Stokes-type systems related to climatology, Appl. Math. Lett. 8, 53-58 (1995).
6. ZIANE M. B., Regularity results for Stokes-type systems, Applic. Analysis (to appear).
7. AGMON S., DOUGLIS A. & NIRENBERG L., Estimates near the boundary for solutions of elliptic partial differential equations satisfying general boundary conditions, Communs pure appl. Math 12, 623-723 (1959).
8. TEMAM R., Navier-Stokes Equations, 3rd revised edition, Studies in Mathematics and its Applications, Vol. 2. North-Holland, Amsterdam (1984).
9. AUBIN T., Nonlinear Analysis on Manifolds, Monge-Ampere Equations. Springer, New York (1982).
10. DAUGE M., Elliptic Boundary Value Problems on Corner Domains, Lecture Notes in Mathematics, Vol. 1341. Springer, Berlin (1988).
11. DAUGE M., Problèmes mixtes pour le Laplacien dans des domaines polyèdraux courbes, C. r. Acad. Sci. Paris 309, 553-558 (1980).
12. GRISVARD P., Elliptic Problems in Nonsmooth Domains, Monographs and Studies in Mathematics, Vol. 24. Pitman, London.
13. ZOLESIO J. L., Multiplication dans les espaces de Besov, Prov. R. Soc. Edinb. (1977).