The inhomogeneous dam problem with discontinuous permeability

Avner Friedman; Shao-Yun Huang

Annali della Scuola Normale Superiore di Pisa - Classe di Scienze (1987)

  • Volume: 14, Issue: 1, page 49-77
  • ISSN: 0391-173X

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Friedman, Avner, and Huang, Shao-Yun. "The inhomogeneous dam problem with discontinuous permeability." Annali della Scuola Normale Superiore di Pisa - Classe di Scienze 14.1 (1987): 49-77. <http://eudml.org/doc/83999>.

@article{Friedman1987,
author = {Friedman, Avner, Huang, Shao-Yun},
journal = {Annali della Scuola Normale Superiore di Pisa - Classe di Scienze},
keywords = {dam problem; permeability; existence; uniqueness; continuity of the free boundary},
language = {eng},
number = {1},
pages = {49-77},
publisher = {Scuola normale superiore},
title = {The inhomogeneous dam problem with discontinuous permeability},
url = {http://eudml.org/doc/83999},
volume = {14},
year = {1987},
}

TY - JOUR
AU - Friedman, Avner
AU - Huang, Shao-Yun
TI - The inhomogeneous dam problem with discontinuous permeability
JO - Annali della Scuola Normale Superiore di Pisa - Classe di Scienze
PY - 1987
PB - Scuola normale superiore
VL - 14
IS - 1
SP - 49
EP - 77
LA - eng
KW - dam problem; permeability; existence; uniqueness; continuity of the free boundary
UR - http://eudml.org/doc/83999
ER -

References

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  1. [1] H.W. Alt, A free boundary problem associated with the flow of ground water, Arch. Rational Mech. Anal., 64 (1977), 111-126. Zbl0371.76079MR428901
  2. [2] H.W. Alt, The fluid flow through porous media. Regularity at the free surface, Manuscripta Math., 21 (1977), 255-272. Zbl0371.76080MR449170
  3. [3] H.W. Alt, Strömungen durch inhomogene poröse Medien mit freien Rand, J. Reine Angew. Math., 305 (1979), 89-115. Zbl0392.76091MR518852
  4. [4] H.W. Alt and G. Gilardi, The behaviour of the free boundary for the dam problem, Ann. Scuola Norm. Sup. Pisa, 9 (4) (1982), 571-626. Zbl0521.76092MR693780
  5. [5] C. Baiocchi, Su un problema a frontiera libera connesso a questioni di idraulica, Ann. Mat. Pura Appl., 92 (1972), 107-127. Zbl0258.76069MR408443
  6. [6] C. Baiocchi and A. Friedman, A filtration problem in a porous medium with variable permeability, Ann. Mat. Pura Appl., 114 (1977), 377-393. Zbl0386.76080MR468530
  7. [7] V. Benci, On a filtration problem through a porous medium, Ann. Mat. Pura Appl., 100 (1974), 191-209. Zbl0298.76049MR356674
  8. [8] H. Brezis, D. Kinderlehrer and G. Stampacchia, Sur une nouvelle formulation du probléme de l'ecoulment à travers une digue, C.R. Acad. Sci. Paris, 287 (1978), 711-714. Zbl0391.76072MR515672
  9. [9] L.A. Caffarelli and A. Friedman, The dam problem with two layers, Arch. Rational Mech. Anal., 68 (1978), 125-154. Zbl0397.76087MR505510
  10. [10] L.A. Caffarelli, A. Friedman and A. Torelli, The free boundary for a fourth order variational inequality, Illinois J. Math., 25 (1981), 402-422. Zbl0466.35070MR620427
  11. [11] J. Carillo-Menendez and M. Chipot, On the dam problem, J. Differential Equations, 45 (1982), 234-271. Zbl0504.35082MR665999
  12. [12] A. Friedman, Variational principles and free boundary problems, John Wiley, New York, 1982. Zbl0564.49002MR679313
  13. [13] D. Gilbarg and N.S. Trudinger, Elliptic partial differential equations of second order, Springer-Verlag, 1977. Zbl0361.35003MR473443
  14. [14] R. Stavre and B. Vernescu, Incompressible fluid flow through a nonhomogeneous and anistropic dam, Nonlinear Anal., 9 (1985), 799-810. Zbl0535.35080MR799885
  15. [15] E.C. Titchmarsh, Theory of Functions, Second Edition, Oxford University Press, 1939. Zbl0022.14602MR593142JFM65.0302.01

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