Free Access
Issue
ESAIM: M2AN
Volume 29, Number 5, 1995
Page(s) 605 - 627
DOI https://doi.org/10.1051/m2an/1995290506051
Published online 31 January 2017
  1. N. AHMED, D. K. SUNADA, 1969, Nonlinear flow in porous media, J. Hydraulics Div. Proc. Amer. Soc. Civil Engeg., 95, pp. 1847-1857.
  2. H. W. ALT, S. LUCKHAUS, 1983, Quasilinear elliptic-parabolic differential equations, Math. Z., 183, pp. 311-341. [EuDML: 173321] [MR: 706391] [Zbl: 0497.35049]
  3. H. W. ALT, S. LUCKHAUS, A. VISINTIN, On nonstationary flow through porous media, Annali di Matematica, 19, 303-316. [MR: 765926] [Zbl: 0552.76075]
  4. J. BEAR, 1972, Dynamics of fluids in porous media. Elsevier, New York. [Zbl: 1191.76001]
  5. D. BLANCHARD, G. FRANCFORT, 1988, Study of a double nonlinear heat equation with no growth assumptions on the parabolic term, SIAM, J. Math. Anal., 19,pp. 1032-1056. [MR: 957665] [Zbl: 0685.35052]
  6. J. J. DIAZ, Nonlinear pde's and free boundaries Vol. 1, Elliptic Equations, Research Notes in Math, n-106. Pitman, London 1985, Vol. 2. Parabolic and Hyperbolic Equations (to appear).
  7. J. J. DIAZ, On a nonlinear parabolic problem arising in some models related to turbulent flows (to appear in SIAM, J. Math. Anal.). [MR: 1278892] [Zbl: 0808.35066]
  8. [8]J. R. ESTEBAN, J. L. VASQUEZ, 1988, Homogeneous diffusion in R with powerlike nonlinear diffusivity. Arch. Rat. Mech. Anal, 103, pp. 39-80. [MR: 946969] [Zbl: 0683.76073]
  9. H. GAJEWSKI, K. GROGER, K. ZACHARIAS, 1974, Nichtlineare Operatorgleichungen und Operatordifferentialgleichungen, Akademie Verlag, Berlin. [MR: 636412] [Zbl: 0289.47029]
  10. A. HANDLOVICOVA, 1992, Error estimates of a linear approximation scheme for nonlinear diffusion problems, Acta Math. Univ.Comenianae, Vol. LXI, 1, pp. 27-39. [EuDML: 118653] [MR: 1205857] [Zbl: 0820.65055]
  11. W. Jäger, J. KAČUR, 1991, Solution of porous medium Systems by linear approximation scheme, Num. Math., 60, pp. 407-427. [EuDML: 133599] [MR: 1137200] [Zbl: 0744.65060]
  12. W. JAGER, J. KACUR, 1991, Approximation of degenerate elliptic-parabolic problems by nondegenerate elliptic and parabolic problems. Preprint University Heidelberg. [MR: 1137200]
  13. J. KAČUR, 1990, On a solution of degenerate elliptic-parabolic Systems in Orlicz-Sobolev spaces I, II. I. Math. Z., 203, pp. 153-171 ; IL Math. Z, 203, pp. 569-579. [EuDML: 174119] [MR: 1030713] [Zbl: 0659.35045]
  14. J. KAČUR, 1994, Solution to strongly nonlinear parabolic problems by a linear approximation scheme. Mathematics Preprint IV-M1-94, Comenius University Faculty of Mathematics and Physics, pp. 1-16. [MR: 1670689] [Zbl: 0946.65145]
  15. J. KAČUR, A. HANDLOVIČOVA, M. KAČUROVA, 1993, Solution of nonlinear diffusion problems by linear approximation schemes, SIAM Num. AnaL, 30, pp. 1703-1722. [MR: 1249039] [Zbl: 0792.65070]
  16. J. KAČUR, S. LUCKHAUS, 1991, Approximation of degenerate parabolic Systems by nondegenerate elliptic and parabolic Systems, Preprint M2-91, Faculty of Mathematics and Physics, Comenius University, pp. 1-33. [MR: 1609151] [Zbl: 0894.65043]
  17. A. KUFNER, S. FUCIK, 1978, Nonlinear differential equations, SNTL, Praha, Elsevier, 1980. [MR: 558764] [Zbl: 0474.35001]
  18. A. KUFNER, O. JOHN, S. FUČIK, 1967, Function spaces, Academia CSAV, Prague.
  19. O. A. LADYZHENSKAJA N. N. URALCEVA, 1968, Linear and quasilinear elliptic equations, Academic Press. [MR: 244627] [Zbl: 0164.13002]
  20. E. MAGENES, R. H. NOCHETTO, C. VERDI, 1987, Energy error estimates for a linear scheme to approximate nonlinear parabolic problems, Math. Mod. Num.Anal, 21, pp. 655-678. [EuDML: 193519] [MR: 921832] [Zbl: 0635.65123]
  21. J. NEČAS, 1967, Les méthodes directes en théorie des équations elliptiques, Academie, Prague. [MR: 227584]
  22. R. H. NOCHETTO, M. PAOLINI, C. VERDI, 1990, Selfadaptive mesh modification for parabolic FBPs : Theory and commutation in Free Boundary Problems. K.-H. Hoffman and J. Sprekels, eds., ISNM 95 Bickhauser, Basel, pp. 181-206. [MR: 1111029] [Zbl: 0716.65112]
  23. R. H. NOCHETTO C. VERDI, 1988, Approximation of degenerate parabolic problems using numerical integration, SIAM J. Numer Anal, 25, 784-814. [MR: 954786] [Zbl: 0655.65131]
  24. M. SLODICKA, Solution of nonlinear parabolic problems by linearization, Preprint M3-92, Comenius Univ., Faculty of Math, and Physics.
  25. M. SLODIČKA, 1992, On a numerical approach to nonlinear degenerate parabolic problems, Preprint M6-92, Comenius Univ. Faculty of Math. and Physics.

Current usage metrics show cumulative count of Article Views (full-text article views including HTML views, PDF and ePub downloads, according to the available data) and Abstracts Views on Vision4Press platform.

Data correspond to usage on the plateform after 2015. The current usage metrics is available 48-96 hours after online publication and is updated daily on week days.

Initial download of the metrics may take a while.

Recommended for you