# On a Navier-Stokes type equation and inequality

Banach Center Publications (1992)

- Volume: 27, Issue: 2, page 367-371
- ISSN: 0137-6934

## Access Full Article

top## Abstract

top## How to cite

topProuse, Giovanni. "On a Navier-Stokes type equation and inequality." Banach Center Publications 27.2 (1992): 367-371. <http://eudml.org/doc/262743>.

@article{Prouse1992,

abstract = {A Navier-Stokes type equation corresponding to a non-linear relationship between the stress tensor and the velocity deformation tensor is studied and existence and uniqueness theorems for the solution, in the 3-dimensional case, of the Cauchy-Dirichlet problem, for a bounded solution and for an almost periodic solution are given. An inequality which in some sense is the limit of the equation is also considered and existence theorems for the solution of the Cauchy-Dirichlet problems and for a periodic solution are stated.},

author = {Prouse, Giovanni},

journal = {Banach Center Publications},

keywords = {Navier-Stokes type equation; existence; uniqueness; Cauchy-Dirichlet problem; bounded solution; almost periodic solution; inequality; periodic solution},

language = {eng},

number = {2},

pages = {367-371},

title = {On a Navier-Stokes type equation and inequality},

url = {http://eudml.org/doc/262743},

volume = {27},

year = {1992},

}

TY - JOUR

AU - Prouse, Giovanni

TI - On a Navier-Stokes type equation and inequality

JO - Banach Center Publications

PY - 1992

VL - 27

IS - 2

SP - 367

EP - 371

AB - A Navier-Stokes type equation corresponding to a non-linear relationship between the stress tensor and the velocity deformation tensor is studied and existence and uniqueness theorems for the solution, in the 3-dimensional case, of the Cauchy-Dirichlet problem, for a bounded solution and for an almost periodic solution are given. An inequality which in some sense is the limit of the equation is also considered and existence theorems for the solution of the Cauchy-Dirichlet problems and for a periodic solution are stated.

LA - eng

KW - Navier-Stokes type equation; existence; uniqueness; Cauchy-Dirichlet problem; bounded solution; almost periodic solution; inequality; periodic solution

UR - http://eudml.org/doc/262743

ER -

## References

top- [1] L. Amerio and G. Prouse, Almost-periodic Functions and Functional Equations, Van Nostrand, 1971. Zbl0215.15701
- [2] T. Collini, On a Navier-Stokes type inequality, Rend. Ist. Lomb. Sc. Lett., to appear. Zbl0754.35108
- [3] T. Collini, Periodic solutions of a Navier-Stokes type inequality, ibid., to appear. Zbl0754.35109
- [4] P. Grisvard, Elliptic Problems in Nonsmooth Domains, Pitman, 1985. Zbl0695.35060
- [5] A. Iannelli, Bounded and almost-periodic solutions of a Navier-Stokes type equation, Rend. Accad. Naz. Sci. XL, to appear. Zbl0833.35108
- [6] G. Prodi, Un teorema di unicità per le equazioni di Navier-Stokes, Ann. Mat. Pura Appl. 48 (1959), 173-182.
- [7] G. Prouse, On a Navier-Stokes type equation, in: Non-linear Analysis: a Tribute to G. Prodi, Quaderni Scuola Norm. Sup. Pisa, to appear.

## NotesEmbed ?

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