On the inequalities associated with a model of Graffi for the motion of a mixture of two viscous, incompressible fluids

Giovanni Prouse; Anna Zaretti

Atti della Accademia Nazionale dei Lincei. Classe di Scienze Fisiche, Matematiche e Naturali. Rendiconti (1988)

  • Volume: 82, Issue: 1, page 17-20
  • ISSN: 0392-7881

Abstract

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We demonstrate a theorem of existence and uniqueness on a large scale of the solution of a system of differential disequations associated to a Graffi model relative to the motion of two incompressible viscous fluids.

How to cite

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Prouse, Giovanni, and Zaretti, Anna. "On the inequalities associated with a model of Graffi for the motion of a mixture of two viscous, incompressible fluids." Atti della Accademia Nazionale dei Lincei. Classe di Scienze Fisiche, Matematiche e Naturali. Rendiconti 82.1 (1988): 17-20. <http://eudml.org/doc/289153>.

@article{Prouse1988,
abstract = {We demonstrate a theorem of existence and uniqueness on a large scale of the solution of a system of differential disequations associated to a Graffi model relative to the motion of two incompressible viscous fluids.},
author = {Prouse, Giovanni, Zaretti, Anna},
journal = {Atti della Accademia Nazionale dei Lincei. Classe di Scienze Fisiche, Matematiche e Naturali. Rendiconti},
keywords = {Partial differential equations and inequalities; Fluid dynamics; Mathematical models},
language = {eng},
month = {3},
number = {1},
pages = {17-20},
publisher = {Accademia Nazionale dei Lincei},
title = {On the inequalities associated with a model of Graffi for the motion of a mixture of two viscous, incompressible fluids},
url = {http://eudml.org/doc/289153},
volume = {82},
year = {1988},
}

TY - JOUR
AU - Prouse, Giovanni
AU - Zaretti, Anna
TI - On the inequalities associated with a model of Graffi for the motion of a mixture of two viscous, incompressible fluids
JO - Atti della Accademia Nazionale dei Lincei. Classe di Scienze Fisiche, Matematiche e Naturali. Rendiconti
DA - 1988/3//
PB - Accademia Nazionale dei Lincei
VL - 82
IS - 1
SP - 17
EP - 20
AB - We demonstrate a theorem of existence and uniqueness on a large scale of the solution of a system of differential disequations associated to a Graffi model relative to the motion of two incompressible viscous fluids.
LA - eng
KW - Partial differential equations and inequalities; Fluid dynamics; Mathematical models
UR - http://eudml.org/doc/289153
ER -

References

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  1. BEIRAO DA VEIGA, H. (1983) - Diffusion on viscous fluids, existence and asymptotic properties of solutions. «Ann. Sc. Norm. Pisa», IV, 10, 1983. Zbl0531.76095MR728440
  2. ANTONOV, S.N. and KAZHIKOV, A.V. (1973) - The mathematical problem of the dynamics of non homogeneous fluids. Novosibirsk. 
  3. LADYZENSKAJA, O.A. and SOLONNIKOV, V.A. (1978) - Unique solvability of an initial and boundary value problem for viscous, incompressible, non homogeneous fluids. «J. Sov. Math.», 9. Zbl0401.76037
  4. LIONS, J.L. (1977) - On some problems connected with the Navier-Stokes equations. Proc. Symp. on non linear equations. Univ. of Wisconsin. Zbl0499.35090MR513812
  5. GRAFFI, D. (1955) - Il teorema di unicità per i fluidi compressibili, perfetti, eterogenei. «Rev. Un. Mat. Arg.», 17. Zbl0074.20206MR82829

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