On the oseen boundary-value problem in exterior domains

  • Giovanni P. Galdi
Problems In Unbounded Domains
Part of the Lecture Notes in Mathematics book series (LNM, volume 1530)


Stokes Problem Exterior Domain Viscous Incompressible Fluid Nonzero Velocity Standard Density Argument 
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  1. Babenko, K.I., 1973, On the Stationary Solutions of the Problem of Flow past a Body of a Viscous Incompressible Fluid, Math. USSR Sbornik 20 (1), 1–24.MathSciNetCrossRefzbMATHGoogle Scholar
  2. Borchers, W. & Miyakawa, T., 1990, Algebraic L2 Decay for the Navier-Stokes Flows in Exterior Domains, Acta Math. 165, 189–227.MathSciNetCrossRefzbMATHGoogle Scholar
  3. Cattabriga, L., 1961, Su un Problema al Contorno Relativo al Sistema di Equazioni di Stokes, Rend. Sem. Mat. Padova 31, 308–340.MathSciNetzbMATHGoogle Scholar
  4. Chang, I.D. & Finn, R., 1961, On the Solutions of a Class of Equations Occurring in Continnum Mechanics with Application to the Stokes Paradox, Arch. Ratl Mech. Anal. 7, 388–401.MathSciNetCrossRefzbMATHGoogle Scholar
  5. Farwig, R., 1991a, A Variational Approach in Weighted Sobolev Spaces to the Operator −Δ+∂/∂x 1 in Exterior Domains of3, Preprint, Universität Paderborn.Google Scholar
  6. Farwig, R., 1991b, The Stationary Exterior 3D-Problem of Oseen and Navier-Stokes Equations in Anisotropically Weighted Sobolev Spaces, Preprint, Universität Paderborn.Google Scholar
  7. Finn, R., 1965, On the Exterior Stationary Problem for the Navier-Stokes Equations and Associated Perturbation Problems, Arch. Ratl Mech. Anal 19, 363–406.MathSciNetCrossRefzbMATHGoogle Scholar
  8. Finn, R. & Smith, D.R., 1967, On the Linearized Hydrodynamical Equations in Two Dimensions, Arch. Ratl Mech. Anal. 25, 1–25.MathSciNetCrossRefzbMATHGoogle Scholar
  9. Gagliardo, E., 1957, Caratterizzazioni delle Tracce sulla Frontiera Relative ad Alcune Classi di Funzioni in n Variabili, Rend. Sem. Mat. Padova 27, 284–305.MathSciNetzbMATHGoogle Scholar
  10. Galdi, G.P., 1991, The Lq Approach to the Two-Dimensional Stationary Navier-Stokes Problem in Exterior Domains with Nonzero Velocity at Infinity, Preprint, University of Ferrara.Google Scholar
  11. Galdi, G.P., 1992, An Introduction to the Mathematical Theory of the Navier-Stokes Equations, Springer Tracts in Natural Phylosophy, in press.Google Scholar
  12. Galdi, G.P. & Simader, C.G., 1990, Existence, Uniqueness and Lq Estimates for the Stokes Problem in Exterior Domain, Arch. Ratl Mech. Anal. 112, 291–318.MathSciNetCrossRefzbMATHGoogle Scholar
  13. Galdi, G.P., Simader, C.G. & Sohr, H., 1992, The Stokes Problem in Lipschitz Domains, Preprint Università di Ferrara.Google Scholar
  14. Kozono, H. & Sohr, H., 1991, New a priori Estimates for the Stokes Equations in Exterior Domains, Indiana Univ. Math. J. 40 (1), 1–27.MathSciNetCrossRefzbMATHGoogle Scholar
  15. Lizorkin, P. I., 1963, (Lp-Lq)-Multipliers of Fourier Integrals, Dokl. Akad. Nauk SSSR 152 (4), 808–812 (in Russian).MathSciNetGoogle Scholar
  16. Maremonti, P. & Solonnikov, V.A., 1985, Estimates for the Laplace Operator in Exterior Domains, Zap. Nauk. Sem. LOMI 146, 92–102 (in Russian).MathSciNetzbMATHGoogle Scholar
  17. Maremonti, P. & Solonnikov, V.A., 1986, Su una Diseguaglianza per le Soluzioni del Problema di Stokes in Domini Esterni, Preprint, Università di Napoli.Google Scholar
  18. Maslennikova, V.N., 1990, On the Stokes Problem in Exterior Domains, Lecture delivered at the Department of Mathematics, Università di Ferrara, October 22.Google Scholar
  19. Necas, J., 1967, Les Méthodes Directes en Théorie des Équations Elliptiques, Masson et Cle.Google Scholar
  20. Specovius-Neugebauer, M., 1986, Exterior Stokes Problems and Decay at Infinity, Math. Meth. in the Appl. Sci. 8, 351–367.ADSMathSciNetCrossRefzbMATHGoogle Scholar

Copyright information

© Springer-Verlag 1992

Authors and Affiliations

  • Giovanni P. Galdi
    • 1
  1. 1.Istituto di Ingegneria dell'Universita'Ferrara

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