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

How to cite

top

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

top
  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

NotesEmbed ?

top

You must be logged in to post comments.

To embed these notes on your page include the following JavaScript code on your page where you want the notes to appear.

Only the controls for the widget will be shown in your chosen language. Notes will be shown in their authored language.

Tells the widget how many notes to show per page. You can cycle through additional notes using the next and previous controls.

    
                

                
Note: Best practice suggests putting the JavaScript code just before the closing </body> tag.