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Pierangelo Marcati; Albert Milani
Fluid flow in macromolecular systems and related perturbation problems
Annales de la faculté des sciences de Toulouse Sér. 5, 11 no. 3 (1990), p. 73-92, doi: 10.5802/afst.714
Article PDF | Reviews MR 1191722 | Zbl 0728.76102
[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.  MR 162050 |  Zbl 0123.28706
[2] Duvant (G.) and Lions (J.L.) . — Les inéquations en mécanique et physique Dunod-Gauthiers-Villars, Paris (1969).
[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. Numdam |  MR 481645 |  Zbl 0384.35047
[4] Friedrichs (K.O.) .— Differential forms on Riemannian manifolds, Comm. Pure Appl. Math., 8 (1955) pp. 551-590.  MR 87763 |  Zbl 0066.07504
[5] Girault (V.) and Raviart (P.A.) .— Finite element approximation of the Navier-Stokes equations, Lect. Notes Math., Springer-Verlag, 719 (1979).  MR 548867 |  Zbl 0413.65081
[6] Lions (J.L.) . — Perturbations singulières dans les problèmes aux limites et en contrôle optimal, Lect. Notes Math., Springer-Verlag, 323 (1973).  MR 600331 |  Zbl 0268.49001
[7] Lions (J.L.) and Magenes (E.) .— Problèmes aux limites non homogènes et applications, vol. I, Dunod, Paris (1968).  Zbl 0165.10801
[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.  MR 1042662 |  Zbl 0715.35065
[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. Article |  MR 920759 |  Zbl 0617.35078
[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.  MR 751358 |  Zbl 0551.35006
[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.  MR 866256 |  Zbl 0645.35064
[12] Scheidegger (A.E.) .— The physics of flow through porous media, University of Toronto Press (1974), third edition.
[13] Wiegel (F.W.) .— Fluid flow through porous macromolecular systems, Lect. Notes Phys., Springer-Verlag, 121 (1980).  MR 580666 |  Zbl 0482.76098