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 Lincei. Matematica e Applicazioni (1989)

  • Volume: 83, Issue: 1, page 43-49
  • ISSN: 1120-6330

Abstract

top
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

top

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 Lincei. Matematica e Applicazioni 83.1 (1989): 43-49. <http://eudml.org/doc/287322>.

@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 Lincei. Matematica e Applicazioni},
keywords = {Fluid dynamics; Weak solution; Analytic function; 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/287322},
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 Lincei. Matematica e Applicazioni
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; weak solution; analytic function
UR - http://eudml.org/doc/287322
ER -

References

top
  1. TEMAM, R., 1984. Navier-Stokes equations. North Holland; LADYZHENSKAJA, O.A., 1969. The mathematical theory of viscous, incompressible flow. Gordon and Breach. MR769654
  2. LIONS, J.L., 1958. Espaces intermédiaires entre espaces de Hilbert et applications. Bull. Math. R.P.R. Bucarest. 4. Zbl0097.09501MR151829

NotesEmbed ?

top

You must be logged in to post comments.

To embed these notes on your page include the following JavaScript code on your page where you want the notes to appear.

Only the controls for the widget will be shown in your chosen language. Notes will be shown in their authored language.

Tells the widget how many notes to show per page. You can cycle through additional notes using the next and previous controls.

    
                

Note: Best practice suggests putting the JavaScript code just before the closing </body> tag.