A uniqueness criterion for the solution of the stationary Navier-Stokes equations

Giovanni Prouse

Atti della Accademia Nazionale dei Lincei. Classe di Scienze Fisiche, Matematiche e Naturali. Rendiconti (1989)

  • Volume: 83, Issue: 1, page 43-49
  • ISSN: 0392-7881

Abstract

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A uniqueness criterion is given for the weak solution of the Navier-Stokes equations in the stationary case. Precisely, it is proved that, for a generic known term, there exists one and only one solution such that the mechanical power of the corresponding flow is maximum and that this maximum is "stable" in an appropriate sense.

How to cite

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Prouse, Giovanni. "A uniqueness criterion for the solution of the stationary Navier-Stokes equations." Atti della Accademia Nazionale dei Lincei. Classe di Scienze Fisiche, Matematiche e Naturali. Rendiconti 83.1 (1989): 43-49. <http://eudml.org/doc/289272>.

@article{Prouse1989,
abstract = {A uniqueness criterion is given for the weak solution of the Navier-Stokes equations in the stationary case. Precisely, it is proved that, for a generic known term, there exists one and only one solution such that the mechanical power of the corresponding flow is maximum and that this maximum is "stable" in an appropriate sense.},
author = {Prouse, Giovanni},
journal = {Atti della Accademia Nazionale dei Lincei. Classe di Scienze Fisiche, Matematiche e Naturali. Rendiconti},
keywords = {Fluid dynamics; Weak solution; Analytic function},
language = {eng},
month = {12},
number = {1},
pages = {43-49},
publisher = {Accademia Nazionale dei Lincei},
title = {A uniqueness criterion for the solution of the stationary Navier-Stokes equations},
url = {http://eudml.org/doc/289272},
volume = {83},
year = {1989},
}

TY - JOUR
AU - Prouse, Giovanni
TI - A uniqueness criterion for the solution of the stationary Navier-Stokes equations
JO - Atti della Accademia Nazionale dei Lincei. Classe di Scienze Fisiche, Matematiche e Naturali. Rendiconti
DA - 1989/12//
PB - Accademia Nazionale dei Lincei
VL - 83
IS - 1
SP - 43
EP - 49
AB - A uniqueness criterion is given for the weak solution of the Navier-Stokes equations in the stationary case. Precisely, it is proved that, for a generic known term, there exists one and only one solution such that the mechanical power of the corresponding flow is maximum and that this maximum is "stable" in an appropriate sense.
LA - eng
KW - Fluid dynamics; Weak solution; Analytic function
UR - http://eudml.org/doc/289272
ER -

References

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  1. TEMAM, R., 1984. Navier-Stokes equations. North Holland; LADYZHENSKAJA, O.A., 1969. The mathematical theory of viscous, incompressible flow. Gordon and Breach. MR254401
  2. LIONS, J.L., 1958. Espaces intermédiaires entre espaces de Hilbert et applications. Bull. Math. R.P.R. Bucarest. 4. Zbl0097.09501MR151829

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