Skip to main content
SpringerLink
Log in

Open problems in the theory of the Navier-Stokes equations for viscous incompressible flow

  • Incompressible Flows
  • Conference paper
  • First Online:
The Navier-Stokes Equations Theory and Numerical Methods

Part of the book series: Lecture Notes in Mathematics ((LNM,volume 1431))

This is a preview of subscription content, log in via an institution to check access.

Access this chapter

Log in via an institution
Chapter
USD 29.95
Price excludes VAT (USA)
  • Available as PDF
  • Read on any device
  • Instant download
  • Own it forever
eBook
USD 34.99
Price excludes VAT (USA)
  • Available as PDF
  • Read on any device
  • Instant download
  • Own it forever
Softcover Book
USD 46.00
Price excludes VAT (USA)
  • Compact, lightweight edition
  • Dispatched in 3 to 5 business days
  • Free shipping worldwide - see info

Tax calculation will be finalised at checkout

Purchases are for personal use only

Institutional subscriptions

Preview

Unable to display preview. Download preview PDF.

Unable to display preview. Download preview PDF.

References

  1. Amick, C. J., Properties of steady Navier-Stokes solutions for certain unbounded channels and pipes, Nonlinear Anal. Theory, Methods & Appl., 6 (1978), 689–720.

    Article  MathSciNet  MATH  Google Scholar 

  2. Amick, C. J., On Leray's problem of steady flow past a body in the plane, Acta Math., 161 (1988), 71–130.

    Article  MathSciNet  MATH  Google Scholar 

  3. Amick, C. J. & Fraenkel, L. E., Steady solutions of the Navier-Stokes equations representing plane flow in channels of various types, Acta Math.144 (1980), 83–152.

    Article  MathSciNet  MATH  Google Scholar 

  4. Anderson, C. & Greengard, C., On vortex methods, SIAM J. Numer. Anal., 22 (1985), 413–440.

    Article  MathSciNet  MATH  Google Scholar 

  5. Asano, K., Zero-viscosity limit of the incompressible Navier-Stokes equations, (preprint 1988).

    Google Scholar 

  6. Babenko, K. I., On stationary solutions of the problem of flow past a body by a viscous incompressible fluid, Mat. Sb., 91 (1973), 3–26.

    MathSciNet  Google Scholar 

  7. Babenko, K. I., On properties of steady viscous incompressible fluid flows, Proc. IUTAM Symp. 1979, Approximation Methods for Navier-Stokes Problems, R. Rautmann, ed., Springer-Verlag, Lecture Notes in Mathematics, 771 (1980), 12–42.

    Google Scholar 

  8. Babenko, K. I., Spectrum of the linearized problem of flow of a viscous incompressible liquid round a body, Sov. Phys. Dokl.27 (1) (1982), 25–27.

    MATH  Google Scholar 

  9. Beal, J. T., Large-time regularity of viscous surface waves, Arch. Rational Mech. Anal., 84 (1984), 307–352.

    MathSciNet  Google Scholar 

  10. Beal, J. T. & Majda, A., Vortex methods for flow in two and three dimensions, Contemp. Math., 28 (1984), 221–229.

    Article  MathSciNet  MATH  Google Scholar 

  11. Beal, J. T. & Majda, A., High order accurate vortex methods with explicit velocity kernels, J. Comput. Phys., 58 (1985), 188–208.

    Article  MATH  Google Scholar 

  12. Bemelmans, J., Eine Außenraumaufgabe für die instationären Navier-Stokes-Gleichungen, Math. Z., 162 (1978), 145–173.

    Article  MathSciNet  MATH  Google Scholar 

  13. Bemelmans, J., Navier-Stokes equations in exterior domains, Rendiconti del Seminario Matematico e Fisico di Milano, Vol. L (1980), Tipografia Fusi-Pavia, 4 (1982), 91–100.

    Google Scholar 

  14. Bemelmans, J., Gleichgewichtsfiguren zäher Flüssigkeiten mit Oberflächenspannung, Analysis, 1 (1981), 241–282.

    Article  MathSciNet  MATH  Google Scholar 

  15. Benfatto, G. & Pulvirenti, M., Convergence of Chorin-Marsden product formula in the half-plane, Comm. Math. Phys., 106 (1986), 427–458.

    Article  MathSciNet  MATH  Google Scholar 

  16. Bogovskii, M. E., On the Lp-theory of the Navier-Stokes system for unbounded domains with noncompact boundaries, Soviet Math. Dokl., 22 (1980), 809–814.

    MathSciNet  Google Scholar 

  17. Borchers, W. & Miyakawa, T., Algebraic L2 decay for Navier-Stokes flows in exterior domains, (preprint 1989).

    Google Scholar 

  18. Caffarelli, L., Kohn, R. & Nirenberg, L., Partial regularity of suitable weak solutions of the Navier-Stokes equations, Comm. Pure Appl. Math., 35 (1982), 771–831.

    Article  MathSciNet  MATH  Google Scholar 

  19. Chang, I-D. & Finn, R., On the solutions of a class of equations occurring in continuum mechanics, with application to the Stokes paradox, Arch. Rational Mech. Anal., 7 (1961), 388–401.

    Article  MathSciNet  MATH  Google Scholar 

  20. Chorin, A. J., Numerical study of slightly viscous flow, J. Fluid Mech., 57 (1973), 785–796.

    Article  MathSciNet  Google Scholar 

  21. Constantin, P. & Foias, C., Navier-Stokes Equations, Univ. Chicago Press, Chicago and London, 1988.

    MATH  Google Scholar 

  22. Cottet, G.-H. & Soler, J., Three-dimensional Navier-Stokes equations for singular filament data, (preprint).

    Google Scholar 

  23. Eckmann, J.-P. & Ruelle, D., Ergodic theory of chaos and strange attractors, Rev. Modern Phys., 57 (1985), 617–656.

    Article  MathSciNet  MATH  Google Scholar 

  24. Finn, R., On steady state solutions of the Navier-Stokes partial differential equations, Arch. Rational Mech. Anal., 3 (1959), 381–396.

    Article  MathSciNet  MATH  Google Scholar 

  25. Finn, R., Estimates at infinity for stationary solutions of the Navier-Stokes equations, Bull. Math. Soc. Sci. Math. Phys. R. P. Roumaine, 3 (51) (1959), 387–418.

    MathSciNet  MATH  Google Scholar 

  26. Finn, R., An energy theorem for viscous fluid motions, Arch. Rational Mech. Anal., 6 (1960), 371–381.

    Article  MathSciNet  MATH  Google Scholar 

  27. Finn, R., On the steady state solutions of the Navier-Stokes equations. III, Acta. Math., 105 (1961), 197–244.

    Article  MathSciNet  MATH  Google Scholar 

  28. Finn, R., On the exterior stationary problem for the Navier-Stokes equations, and associated perturbation problems, Arch. Rational Mech. Anal.19 (1965), 363–406.

    Article  MathSciNet  MATH  Google Scholar 

  29. Finn, R. & Smith, D. R., On the stationary solution of the Navier-Stokes equations in two dimensions, Arch. Rational Mech. Anal., 25 (1967), 26–39.

    Article  MathSciNet  MATH  Google Scholar 

  30. Foias, C. & Prodi, G., Sur le comportement global des solutions nonstationaires des equations de Navier-Stokes en dimension 2, Rend. Semin. Matem. Univ. Padova, 39 (1967), 1–34.

    MathSciNet  MATH  Google Scholar 

  31. Foias, C. & Saut J. C., Asymptotic behavior, as t → ∞ of solutions of Navier-Stokes equations and nonlinear spectral manifolds, Indiana Univ. Math. J., 33 (1984), 459–477.

    Article  MathSciNet  MATH  Google Scholar 

  32. Fraenkel, L. E. & Eagles, P. M., On a theory of laminar flow in channels of certain class. II, Math. Proc. Camb. Phil. Soc., 77 (1975), 199–224.

    Article  MathSciNet  Google Scholar 

  33. Fujita, H., On the existence and regularity of the steady-state solutions of the Navier-Stokes equation, J. Fac. Sci. Univ. Tokyo, Sect. I A Math.9 (1961), 59–102.

    MATH  Google Scholar 

  34. Fujita, H. & Kato, T., On the Navier-Stokes initial value problem, I, Arch. Rational Mech. Anal., 16 (1964), 269–315.

    Article  MathSciNet  MATH  Google Scholar 

  35. Giga, Y. & Miyakawa, T., Navier-Stokes flow in R3 with measures as initial vorticity and Morrey Spaces, Comm. PDE, (to appear).

    Google Scholar 

  36. Giga, Y. & Sohr, H., On the Stokes operator in exterior domains, J. Fac. Sci. Univ. Tokyo, Sect. I A Math., 36 (1989), 103–130.

    MathSciNet  Google Scholar 

  37. Gilbarg, D. & Weinberger, H. F., Asymptotic properties of Leray's solution of the stationary two-dimensional Navier-Stokes equations, Russian Math. Surveys, 29 (1974), 109–123.

    Article  MathSciNet  MATH  Google Scholar 

  38. Hald, O., On the convergence of vortex methods. II, SIAM J. Numer. Anal., 16 (1979), 726–755.

    Article  MathSciNet  MATH  Google Scholar 

  39. Hale, J. K., Lin, X.-B. & Raugel, G., Upper semicontinuity of attractors for approximations of semigroups and partial differential equations, Math. Comp., 50 (1988), 89–123.

    Article  MathSciNet  MATH  Google Scholar 

  40. Heywood, J. G., The exterior nonstationary problem for the Navier-Stokes equations, Acta Math., 129 (1972), 11–34.

    Article  MathSciNet  MATH  Google Scholar 

  41. Heywood, J. G., On nonstationary Stokes flow past an obstacle, Indiana Univ. Math. J., 24 (1974), 271–284.

    Article  MathSciNet  MATH  Google Scholar 

  42. Heywood, J. G., On some paradoxes concerning two-dimensional Stokes flow past an obstacle, Indiana Univ. Math. J., 24 (1974), 443–450.

    Article  MathSciNet  MATH  Google Scholar 

  43. Heywood, J. G., On uniqueness questions in the theory of viscous flow, Acta Math., 136 (1976), 61–102.

    Article  MathSciNet  MATH  Google Scholar 

  44. Heywood, J. G., The Navier-Stokes equations: On the existence, regularity and decay of solutions, Indiana Univ. Math. J., 29 (1980), 639–681.

    Article  MathSciNet  MATH  Google Scholar 

  45. Heywood, J. G., Classical solutions of the Navier-Stokes equations, Proc. IUTAM Symp. 1979, Approximation Methods for Navier-Stokes Problems, R. Rautmann, ed., Springer-Verlag, Lecture Notes in Mathematics, 771 (1980), 235–248.

    Google Scholar 

  46. Heywood, J. G., Epochs of regularity for weak solutions of the Navier-Stokes equations in unbounded domains, Tôhoku Math. J., 40 (1988), 293–313.

    Article  MathSciNet  MATH  Google Scholar 

  47. Heywood, J. G. & Rannacher, R., An analysis of stability concepts for the Navier-Stokes equations, J. Reine Angew. Math., 372 (1986), 1–33.

    MathSciNet  MATH  Google Scholar 

  48. Heywood, J. G. & Rannacher, R., Finite element approximation of the nonstationary Navier-Stokes problem, I: Regularity of solutions and second-order error estimates for spatial discretization, SIAM J. Numer. Anal., 19 (1982), 275–311.

    Article  MathSciNet  MATH  Google Scholar 

  49. Heywood, J. G. & Rannacher, R., Finite element approximation of the nonstationary Navier-Stokes problem, II: Stability of solutions and error estimates uniform in time, SIAM J. Numer. Anal., 23 (1986), 750–777.

    Article  MathSciNet  MATH  Google Scholar 

  50. Heywood, J. G. & Rannacher, R., Finite element approximation of the nonstationary Navier-Stokes problem, III: Smoothing property and higher order error estimates for spatial discretization, SIAM J. Numer. Anal., 25 (1988), 489–512.

    Article  MathSciNet  MATH  Google Scholar 

  51. Heywood, J. G. & Rannacher, R., Finite element approximation of the nonstationary Navier-Stokes problem, IV: Error analysis for second order time discretization, SIAM J. Numer. Anal. (to appear).

    Google Scholar 

  52. Heywood, J. G. & Rannacher, R., Pressure drops in turbulent pipe flow, (to appear).

    Google Scholar 

  53. Heywood, J. G. & Sritharan, S. S., Justification of a boundary layer approximation for nonstationary two dimensional jets, (to appear).

    Google Scholar 

  54. Holm, D. D., Marsden, J. E., Ratiu, T., & Weinstein, A., Nonlinear stability of fluid and plasma equilibria, Phys. Rep., 123 (1985), 1–116.

    Article  MathSciNet  MATH  Google Scholar 

  55. Hopf, E., Ein allgemeiner Endlichkeitssatz der Hydrodynamik, Math. Ann., 117 (1940/41), 764–775.

    Article  MathSciNet  MATH  Google Scholar 

  56. Hopf, E., Über die Anfangswertaufgabe für die Hydrodynamischen Grundgleichungen, Math. Nachr., 4 (1950/51), 213–231.

    Article  MathSciNet  MATH  Google Scholar 

  57. Hopf, E., On nonlinear partial differential equation, Lecture series of symposium on partial differential equations, Univ. of Kansas, (1951), 1–32.

    Google Scholar 

  58. Iooss, G., Existence et stabilité de la solution périodique secondaire intervenant dans les problemes d'évolution du type Navier-Stokes, Arch. Rational Mech. Anal., 47 (1972), 301–329.

    Article  MathSciNet  MATH  Google Scholar 

  59. Ito, S., The existence and the uniqueness of regular solution of nonstationary Navier-Stokes equation, J. Fac. Univ. Tokyo, Sect. I A Math.9 (1961), 103–140.

    MATH  Google Scholar 

  60. Joseph, D. D., Stability of Fluid Motions, Springer-Verlag, Berlin, Heidelberg, New York, 1976.

    MATH  Google Scholar 

  61. Kajikiya, R. & Miyakawa, T., On L2-decay of weak solutions of the Navier-Stokes equations in Rn, Math. Z., 192 (1986), 135–148.

    Article  MathSciNet  MATH  Google Scholar 

  62. Kapitanskii, L. V. & Piletskas, K. I., On spaces of solenoidal vector fields and boundary value problems for the Navier-Stokes equations in domains with noncompact boundaries, Proc. Steklov Inst. Math., Issue 2 (1984), 3–34.

    Google Scholar 

  63. Kato, T., Nonstationary flows of viscous and ideal fluids in R3, J. Func. Anal., 9 (1972), 296–305.

    Article  MathSciNet  MATH  Google Scholar 

  64. Kato, T., Strong Lp-solutions of the Navier-Stokes equations in Rn, with applications to weak solutions, Math. Z., 187 (1984), 471–480.

    Article  MathSciNet  MATH  Google Scholar 

  65. Kirchgassner, K., Bifurcation in nonlinear hydrodynamic stability, SIAM Rev., 17 (1975), 652–683.

    Article  MathSciNet  MATH  Google Scholar 

  66. Kiselev, A. A. & Ladyzhenskaya, O. A., On the existence and uniqueness of the solution of the nonstationary problem for a viscous incompressible fluid, Izv. Akad. Nauk SSSR Ser. Mat.21 (1957),655–680.

    MathSciNet  Google Scholar 

  67. Knightly, G., Some decay properties of solutions of the Navier-Stokes equations, Proc. IUTAM Symp. 1979, Approximation Methods for Navier-Stokes Problems, R. Rautmann, ed., Springer-Verlag, Lecture Notes in Mathematics, 771 (1980), 287–298.

    Google Scholar 

  68. Kroner, D., Asymptotic expansions for a flow with a dynamic contact angle, (these proceedings).

    Google Scholar 

  69. Ladyzhenskaya, O. A., Investigation of the Navier-Stokes equations in the case of stationary motion of an incompressible fluid, Uspekhi Mat. Nauk (in Russian), 14 (1959), 75–97.

    Google Scholar 

  70. Ladyzhenskaya, O. A., A dynamical system generated by the Navier-Stokes equations, Zap. Nauch. Semin. Lening. Otd. Mat. Inst. Steklov, 27 (1972), 91–115.

    MathSciNet  MATH  Google Scholar 

  71. Ladyzhenskaya, O. A., Mathematical analysis of Navier-Stokes equations for incompressible liquids, Ann. Rev. of Fluid Mech., 7 (1975), 249–272.

    Article  MATH  Google Scholar 

  72. Ladyzhenskaya, O. A., The Mathematical Theory of Viscous Incompressible Flow, Second Edition, Gordon and Breach, New York, 1969.

    MATH  Google Scholar 

  73. Ladyzhenskaya, O. A. & Solonnikov, V. A., Some problems of vector analysis and generalized formulations of boundary-value problems for the Navier-Stokes equations, J. Sov. Math., 10 (1978), 257–285.

    Article  MATH  Google Scholar 

  74. Ladyzhenskaya, O. A. & Solonnikov, V. A., On the solvability of boundary and initial-boundary value problems in regions with noncompact boundaries, Vestn. Leningr. Univ. (in Russian), 13 (1977), 39–47.

    MATH  Google Scholar 

  75. Ladyzhenskaya, O. A. & Solonnikov, V. A., Determination of the solutions of boundary value problems for stationary Stokes and Navier-Stokes equations having an unbounded Dirichlet integral, J. Sov. Math.21 (1983), 728–761.

    Article  MATH  Google Scholar 

  76. Leray, J., Étude de diverses équations intégrales non linéaires et de quelques problèmes que pose l'hydrodynamique, J. Math. Pures Appl., 12 (1933), 1–82.

    MathSciNet  MATH  Google Scholar 

  77. Leray, J., Sur le mouvement d'un liquide visqueux emplissant l'espace, Acta Math., 63 (1934), 193–248.

    Article  MathSciNet  Google Scholar 

  78. Lions, J. L., & Prodi, G., Un théorème d'existence et unicité dans les équations de Navier-Stokes en dimension 2, C. R. Acad. Sci. Paris, 248 (1959), 3519–3521.

    MathSciNet  MATH  Google Scholar 

  79. Ma, C.-M., A uniqueness theorem for Navier-Stokes equations, Pacific J. Math., 93 (1981), 387–405.

    Article  MathSciNet  MATH  Google Scholar 

  80. Marsden, J. E. & Ratiu, T., Nonlinear stability in fluids and plasmas, Sem. on New Results in Nonlinear P.D.E., A. Tromba ed., Vieweg (1987), 101–134.

    Google Scholar 

  81. Maslennikova, V. N. & Bogovskii, M. E., Sobolev spaces of solenoidal vector spaces, Sibirian Math. J., 22 (1982), 399–420.

    Article  MATH  Google Scholar 

  82. Maslennikova, V. N. & Bogovskii, M. E., Approximation of potential and solenoidal vector fields, Sibirian. Math. J., 24 (1983), 768–787.

    Article  MathSciNet  MATH  Google Scholar 

  83. Masuda, K., On the stability of incompressible viscous fluid motions past objects, J. Math. Soc. Japan, 27 (1975), 294–327.

    Article  MathSciNet  MATH  Google Scholar 

  84. Masuda, K., Weak solutions of the Navier-Stokes equations, Tôhoku Math. J., 36 (1984), 623–646.

    Article  MathSciNet  MATH  Google Scholar 

  85. Miyakawa, T. & Sohr, H., On energy inequality, smoothness and large time behavior in L2 for weak solutions of the Navier-Stokes equations in exterior domains, Math. Z., 199 (1988), 455–478.

    Article  MathSciNet  MATH  Google Scholar 

  86. Mizumachi, R., On the asymptotic behavior of incompressible viscous fluid motions past bodies, J. Math. Soc. Japan, 36 (1984), 497–522.

    Article  MathSciNet  MATH  Google Scholar 

  87. Nagata, W., Symmetry-breaking effects of distant sidewalls in Rayleigh-Benard convection, (these proceedings).

    Google Scholar 

  88. Okamoto, H., Applications of degenerate bifurcation equations to the Taylor problem and the water wave problem, (these proceedings).

    Google Scholar 

  89. Prodi, G., Theoremi di tipo locale per il sistema di Navier-Stokes e stabilita della soluzioni stazionarie, Rend. Sem. Mat. Univ. Padova, 32 (1962), 374–397.

    MathSciNet  MATH  Google Scholar 

  90. Ruelle, D. & Takens, F., On the nature of turbulence, Comm. Math. Phys., 20 (1971), 167–192.

    Article  MathSciNet  MATH  Google Scholar 

  91. Scheffer, V., Partial regularity of solutions to the Navier-Stokes equations, Pacific J. Math., 66 (1976), 535–552.

    Article  MathSciNet  MATH  Google Scholar 

  92. Schonbek, M. E., L2 decay for weak solutions to the Navier-Stokes equations, Arch. Rational Mech. Anal., 88 (1985), 209–222.

    Article  MathSciNet  MATH  Google Scholar 

  93. Schonbek, M. E., Large time behavior of solutions to the Navier-Stokes equations, Comm. PDE, 11 (1986), 733–763.

    Article  MathSciNet  MATH  Google Scholar 

  94. Serrin, J., The initial value problem for the Navier-Stokes equations, Nonlinear Problems, R. Langer ed., University of Wisconsin Press, Madison, (1963), 69–98.

    Google Scholar 

  95. Sohr, H., Wahl, W. von & Wiegner, M., Zur Asymptotik der Gleichungen von Navier-Stokes, Nachr. Akad. Wiss. Göttingen, 3 (1986), 45–59.

    MATH  Google Scholar 

  96. Solonnikov, V. A., On differential properties of the solutions of the first boundaryvalue problem for nonstationary systems of Navier-Stokes equations, Trudy Mat. Inst. Steklov, 73 (1964), 221–291.

    MathSciNet  Google Scholar 

  97. Solonnikov, V. A., On the solvability of boundary and initial-boundary value problems for the Navier-Stokes system in domains with noncompact boundaries, Pacific J. Math., 93 (1981), 443–458.

    Article  MathSciNet  MATH  Google Scholar 

  98. Solonnikov, V. A., Solvability of the problem of evolution of an isolated volume of viscous, incompressible capillary fluid, J. Sov. Math., 32 (1986), 223–228.

    Article  MATH  Google Scholar 

  99. Solonnikov, V. A. & Piletskas, K. I., Certain spaces of solenoidal vectors and solvability of the boundary value problem for the Navier-Stokes system of equations in domains with noncompact boundaries, J. Sov. Math., 34 (1986), 2101–2111.

    Article  MATH  Google Scholar 

  100. Swann, H., The convergence with vanishing viscosity of nonstationary Navier-Stokes flow to ideal flow in R3, Trans. Amer. Math. Soc., 157 (1971), 373–397.

    MathSciNet  MATH  Google Scholar 

  101. Takeshita, A., A remark on Hopf's Inequality, Preprint Series, Nagoia Univ. Coll. Gen. Educ., Dep. Math. (1982), to appear in Pacific J. Math..

    Google Scholar 

  102. Temam, R., Navier-Stokes Equations, Revised Edition, North-Holland, Amsterdam, New York, Oxford, 1984.

    MATH  Google Scholar 

  103. Temam, R., Navier-Stokes Equations and Nonlinear Functional Analysis, SIAM, Philadelphia 1983.

    MATH  Google Scholar 

  104. Temam, R., Infinite-Dimensional Dynamical Systems in Mechanics and Physics, Springer-Verlag, Berlin, Heidelberg, New York, 1988.

    Book  MATH  Google Scholar 

  105. Velte, W., Stabilität und Verzweigung stationärer Lösungen der Navier-Stokesschen Gleichungen beim Taylorproblem, Arch. Rational Mech. Anal., 22 (1966), 1–14.

    Article  MathSciNet  MATH  Google Scholar 

  106. Wahl, W. von, Gebrochene Potenzen eines elliptischen Operators und parabolische Differentialgleichungen in Räumen Hölderstetiger Funktionen, Nachr. Akad. Wiss. Göttingen, Math.-Phys. Kl. II, 11 (1972), 231–258.

    MATH  Google Scholar 

  107. Wahl, W. von, The Equations of Navier-Stokes and Abstract Parabolic Equations, Vieweg, Braunschweig/Wiesbaden, 1985.

    Book  Google Scholar 

  108. Wan, Y. H. & Pulvirenti, M., Nonlinear stability of circular vortex patches, Comm. Math. Phys., 99 (1985), 435–450.

    Article  MathSciNet  MATH  Google Scholar 

  109. Wiegner, M., Decay results for weak solutions of the Navier-Stokes equations on Rn, J. London Math. Soc., (2) 35 (1987), 303–313.

    Article  MathSciNet  MATH  Google Scholar 

  110. Yudovich, V. I., On the stability of self-oscillations of a fluid, Sov. Math. Dokl., 11 (1970), 1543–1546.

    MATH  Google Scholar 

Download references

Author information

Authors and Affiliations

  1. University of British Columbia, Vancouver, Canada

    John G. Heywood

Authors
  1. John G. Heywood
    View author publications

    You can also search for this author in PubMed Google Scholar

Editor information

John G. Heywood Kyûya Masuda Reimund Rautmann Vsevolod A. Solonnikov

Rights and permissions

Reprints and permissions

Copyright information

© 1990 Springer-Verlag

About this paper

Cite this paper

Heywood, J.G. (1990). Open problems in the theory of the Navier-Stokes equations for viscous incompressible flow. In: Heywood, J.G., Masuda, K., Rautmann, R., Solonnikov, V.A. (eds) The Navier-Stokes Equations Theory and Numerical Methods. Lecture Notes in Mathematics, vol 1431. Springer, Berlin, Heidelberg. https://doi.org/10.1007/BFb0086051

Download citation

  • DOI: https://doi.org/10.1007/BFb0086051

  • Published:

  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-540-52770-1

  • Online ISBN: 978-3-540-47141-7

  • eBook Packages: Springer Book Archive

Publish with us

Policies and ethics

Search

Navigation