Monotonicity of the free boundary in the two-dimensional dam problem

Luis A. Caffarelli; Gianni Gilardi

Annali della Scuola Normale Superiore di Pisa - Classe di Scienze (1980)

  • Volume: 7, Issue: 3, page 523-537
  • ISSN: 0391-173X

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Caffarelli, Luis A., and Gilardi, Gianni. "Monotonicity of the free boundary in the two-dimensional dam problem." Annali della Scuola Normale Superiore di Pisa - Classe di Scienze 7.3 (1980): 523-537. <http://eudml.org/doc/83845>.

@article{Caffarelli1980,
author = {Caffarelli, Luis A., Gilardi, Gianni},
journal = {Annali della Scuola Normale Superiore di Pisa - Classe di Scienze},
keywords = {porous dam; monotonicity property of flow; two-dimensional stationary; free boundary; several reservoirs},
language = {eng},
number = {3},
pages = {523-537},
publisher = {Scuola normale superiore},
title = {Monotonicity of the free boundary in the two-dimensional dam problem},
url = {http://eudml.org/doc/83845},
volume = {7},
year = {1980},
}

TY - JOUR
AU - Caffarelli, Luis A.
AU - Gilardi, Gianni
TI - Monotonicity of the free boundary in the two-dimensional dam problem
JO - Annali della Scuola Normale Superiore di Pisa - Classe di Scienze
PY - 1980
PB - Scuola normale superiore
VL - 7
IS - 3
SP - 523
EP - 537
LA - eng
KW - porous dam; monotonicity property of flow; two-dimensional stationary; free boundary; several reservoirs
UR - http://eudml.org/doc/83845
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), pp. 111-126. Zbl0371.76079MR428901
  2. [2] H.W. Alt, The fluid flow trhough porous media. Regularity of the free surface. Manuscripta Math., 21 (1977), pp. 255-272. Zbl0371.76080MR449170
  3. [3] C. Baiocchi, Su un problema di frontiera libera connesso a questioni di idraulica, Ann. Mat. Pura Appl., (4), 92 (1972), pp. 107-127. Zbl0258.76069MR408443
  4. [4] C. Baiocchi - A. Capelo, Disequazioni variazionali e quasi variazionali. Applicazioni a problemi di frontiera libera: vol. 1, Problemi variazionali; vol. 2, Problemi quasivariazionali, Pitagora Editrice, Bologna, 1978. 
  5. [5] C. Baiocchi - V. Comincioli - E. Magenes - G.A. Pozzi, Free boundary problems in the theory of fluid flow through porous media: existence and uniqueness theorems, Ann. Mat. Pura Appl., (4), 97 (1973), pp. 1-82. Zbl0343.76036MR342026
  6. [6] A. Friedman - R. Jensen, Convexity of the free boundary in the Stefan problem and in the dam problem, Arch. Rational Mech. Anal., 67 (1977), pp. 1-24. Zbl0375.35028MR473315
  7. [7] L.L. Helms, Introduction to potential theory, Wiley-Interscience, New York, 1969. Zbl0188.17203MR261018

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