On the nonstationary Navier-Stokes system

Tosio Kato; Hiroshi Fujita

Rendiconti del Seminario Matematico della Università di Padova (1962)

  • Volume: 32, page 243-260
  • ISSN: 0041-8994

How to cite


Kato, Tosio, and Fujita, Hiroshi. "On the nonstationary Navier-Stokes system." Rendiconti del Seminario Matematico della Università di Padova 32 (1962): 243-260. <http://eudml.org/doc/107082>.

author = {Kato, Tosio, Fujita, Hiroshi},
journal = {Rendiconti del Seminario Matematico della Università di Padova},
keywords = {partial differential equations},
language = {eng},
pages = {243-260},
publisher = {Seminario Matematico of the University of Padua},
title = {On the nonstationary Navier-Stokes system},
url = {http://eudml.org/doc/107082},
volume = {32},
year = {1962},

AU - Kato, Tosio
AU - Fujita, Hiroshi
TI - On the nonstationary Navier-Stokes system
JO - Rendiconti del Seminario Matematico della Università di Padova
PY - 1962
PB - Seminario Matematico of the University of Padua
VL - 32
SP - 243
EP - 260
LA - eng
KW - partial differential equations
UR - http://eudml.org/doc/107082
ER -


  1. Cattabriga L.[1]: Su un problema al contorno relativo al sistema di equazioni di Stokes. Rendiconti Seminario Mat. Univ. Padova, 31 (1961), 1-33. Zbl0116.18002MR138894
  2. Kato T.[1]: Abstract evolution equation of parabolic type in Banach and Hilbert spaces. Nagoya Math. J., 19 (1961), 93-125. Zbl0114.06102MR143065
  3. - - [2]: A generalization of the Heinz inequality. Proc. Japan Acad., 37 (1961), 305-308. Zbl0104.09304MR145345
  4. Lions J.L. [1]: Sur les espaces d'interpolation; dualité. Math. Scand., 9 (1961), 147-177. Zbl0103.08102MR159212
  5. Sobolevskii P.E. [1]: On nonstationary equations of hydrodynamics for viscous fluid. Doklady Akad. Nauk USSR, 128 (1959), 45-48. MR110895

Citations in EuDML Documents

  1. Oleg Zubelevich, Peano type theorem for abstract parabolic equations
  2. Gautam Iyer, A stochastic lagrangian proof of global existence of the Navier-Stokes equations for flows with small Reynolds number
  3. F. Planchon, Convergence de solutions des équations de Navier-Stokes vers des solutions autosimilaires
  4. Milan Đ. Đurić, On the interior regularity of weak solutions of non-stationary Navier-Stokes equations on a riemannian manifold
  5. Thierry Cazenave, Solutions self-similaires de l'équation de Schrödinger non-linéaire
  6. Thierry Gallay, Long-Time Asymptotics for the Navier-Stokes Equation in a Two-Dimensional Exterior Domain
  7. Marco Cannone, Fabrice Planchon, Fonctions de Lyapunov pour les équations de Navier-Stokes
  8. F. Planchon, Global strong solutions in Sobolev or Lebesgue spaces to the incompressible Navier-Stokes equations in 3
  9. Jean-Yves Chemin, Fabrice Planchon, Self-improving bounds for the Navier-Stokes equations
  10. Fabrice Planchon, Du local au global : interpolation entre données peu régulières et quantités conservées

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