Fluid flow in macromolecular systems and related perturbation problems

Pierangelo Marcati; Albert Milani

Annales de la Faculté des sciences de Toulouse : Mathématiques (1990)

  • Volume: 11, Issue: 3, page 73-92
  • ISSN: 0240-2963

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Marcati, Pierangelo, and Milani, Albert. "Fluid flow in macromolecular systems and related perturbation problems." Annales de la Faculté des sciences de Toulouse : Mathématiques 11.3 (1990): 73-92. <http://eudml.org/doc/73268>.

@article{Marcati1990,
author = {Marcati, Pierangelo, Milani, Albert},
journal = {Annales de la Faculté des sciences de Toulouse : Mathématiques},
keywords = {existence and uniqueness of the weak solutions; initial-boundary value problem; elastic permeable medium; linear Stokes equations; Lamé’s equations of elasticity; Darcy's law},
language = {eng},
number = {3},
pages = {73-92},
publisher = {UNIVERSITE PAUL SABATIER},
title = {Fluid flow in macromolecular systems and related perturbation problems},
url = {http://eudml.org/doc/73268},
volume = {11},
year = {1990},
}

TY - JOUR
AU - Marcati, Pierangelo
AU - Milani, Albert
TI - Fluid flow in macromolecular systems and related perturbation problems
JO - Annales de la Faculté des sciences de Toulouse : Mathématiques
PY - 1990
PB - UNIVERSITE PAUL SABATIER
VL - 11
IS - 3
SP - 73
EP - 92
LA - eng
KW - existence and uniqueness of the weak solutions; initial-boundary value problem; elastic permeable medium; linear Stokes equations; Lamé’s equations of elasticity; Darcy's law
UR - http://eudml.org/doc/73268
ER -

References

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  1. [1] Agmon ( A.), Douglis ( A.) and Niremberg ( L.) .— Estimates near the boundary for the solution of elliptic differential equations satisfying general boudary values, II, Comm. Pure Appl. Math., 17 (1964) pp. 35-92. Zbl0123.28706MR162050
  2. [2] Duvant ( G.) and Lions ( J.L.) . — Les inéquations en mécanique et physiqueDunod-Gauthiers-Villars, Paris (1969). 
  3. [3] Foias ( C.) and Temam ( R.) .- Remarques sur les équations de Navier-Stokes stationnaires et les phénomènes sucessifs de bifurcation, Ann. Univ. Pisa, 4 (1978) pp. 29-73. Zbl0384.35047MR481645
  4. [4] Friedrichs ( K.O.) .— Differential forms on Riemannian manifolds, Comm. Pure Appl. Math., 8 (1955) pp. 551-590. Zbl0066.07504MR87763
  5. [5] Girault ( V.) and Raviart ( P.A.) .— Finite element approximation of the Navier-Stokes equations, Lect. Notes Math., Springer-Verlag, 719 (1979). Zbl0413.65081MR548867
  6. [6] Lions ( J.L.) . — Perturbations singulières dans les problèmes aux limites et en contrôle optimal, Lect. Notes Math., Springer-Verlag, 323 (1973). Zbl0268.49001MR600331
  7. [7] Lions ( J.L.) and Magenes ( E.) .— Problèmes aux limites non homogènes et applications, vol. I, Dunod, Paris (1968). Zbl0165.10801
  8. [8] Marcati ( P.) and Milani ( A.) .— The one dimensional Darcy's law as the limit of a compressible Euler flow, J. Diff. Eqs., 84/1 (1990) pp. 129-147. Zbl0715.35065MR1042662
  9. [9] Marcati ( P.), Milani ( A.) and Secchi ( P.) .— Singular convergence of weak solutions for a quasi-linear nonhomogeneous hyperbolic system, Manuscripta Math., 60 (1988) pp. 49-69. Zbl0617.35078MR920759
  10. [10] Milani ( A.) .- The quasi-stationary Maxwell equations as singular limit of the complete equations: the quasi-linear case, J. Math. Anal. Appl., 102 (1984) pp. 251-274. Zbl0551.35006MR751358
  11. [11] Milani ( A.) .— Long time existence and singular perturbation results for quasi-linear hyperbolic equations with small parameter and dissipation term, Non Linear Analysis, 10-11 (1987) pp. 1237-1248. Zbl0645.35064MR866256
  12. [12] Scheidegger ( A.E.) .— The physics of flow through porous media, University of Toronto Press (1974), third edition. 
  13. [13] Wiegel ( F.W.) .— Fluid flow through porous macromolecular systems, Lect. Notes Phys., Springer-Verlag, 121 (1980). Zbl0482.76098MR580666

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