Abrupt and smooth separation of free boundaries in flow problems

Hans Wilhelm Alt; Luis A. Caffarelli; Avner Friedman

Annali della Scuola Normale Superiore di Pisa - Classe di Scienze (1985)

  • Volume: 12, Issue: 1, page 137-172
  • ISSN: 0391-173X

How to cite

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Alt, Hans Wilhelm, Caffarelli, Luis A., and Friedman, Avner. "Abrupt and smooth separation of free boundaries in flow problems." Annali della Scuola Normale Superiore di Pisa - Classe di Scienze 12.1 (1985): 137-172. <http://eudml.org/doc/83950>.

@article{Alt1985,
author = {Alt, Hans Wilhelm, Caffarelli, Luis A., Friedman, Avner},
journal = {Annali della Scuola Normale Superiore di Pisa - Classe di Scienze},
keywords = {jets and cavities; abrupt separations; smooth fits; regularity; axially symmetric compressible flows; incompressible flows},
language = {eng},
number = {1},
pages = {137-172},
publisher = {Scuola normale superiore},
title = {Abrupt and smooth separation of free boundaries in flow problems},
url = {http://eudml.org/doc/83950},
volume = {12},
year = {1985},
}

TY - JOUR
AU - Alt, Hans Wilhelm
AU - Caffarelli, Luis A.
AU - Friedman, Avner
TI - Abrupt and smooth separation of free boundaries in flow problems
JO - Annali della Scuola Normale Superiore di Pisa - Classe di Scienze
PY - 1985
PB - Scuola normale superiore
VL - 12
IS - 1
SP - 137
EP - 172
LA - eng
KW - jets and cavities; abrupt separations; smooth fits; regularity; axially symmetric compressible flows; incompressible flows
UR - http://eudml.org/doc/83950
ER -

References

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  1. [1] H.W. Alt - L.A. Caffarelli, Existence and regularity for a minimum problem with free boundary, J. Reine Angew. Math., 405 (1981), pp. 105-144. Zbl0449.35105MR618549
  2. [2] H.W. Alt - L.A. Caffarelli - A. Friedman, Axially symmetric jet flows, Arch. Rational Mech. Anal., 84 (1983), pp. 97-149. Zbl0515.76017MR682265
  3. [3] H.W. Alt - L.A. Caffarelli - A. Friedman, Asymmetric jet flows, Comm. Pure Appl. Math., 35 (1982), pp. 29-68. Zbl0515.76018MR637494
  4. [4] H.W. Alt - L.A. Caffarelli - A. Friedman, Jet flows with gravity, J. Reine Angew. Math., 334 (1982), pp. 58-103, Zbl0561.76022MR647374
  5. [5] H.W. Alt - L.A. Caffarelli - A. Friedman, A free boundary problem for quasi-linear elliptic equations, Ann. Scuola Norm. Sup. Pisa, 14 (5) (1984), pp. 1-44. Zbl0554.35129MR752578
  6. [6] H.W. Alt - L.A. Caffarelli - A. Friedman, Compressible flows of jets and cavities, J. Differential Equations, 56 (1985), pp. 82-141. Zbl0614.76074MR772122
  7. [7] H.W. Alt - G. Gilardi, The behavior of the free boundary for the dam problem, Ann. Scuola Norm. Sup. Pisa, 9 (5) (1981), pp. 571-626. Zbl0521.76092MR693780
  8. [8] A.H. Armstrong, Abrupt and smooth separation in plane and axisymmetric cavity flows, Armament Research Establishment, Memo. 22/53, Ministry of Supply, England, 1953. 
  9. [9] L. Bers - F. John - M. Schechter, Partial Differential Equations, Interscience Publishers, New York, 1964. Zbl0126.00207MR163043
  10. [10] G. Birkhoff - E.H. Zarantonello, Jets, Wakes and Cavities, Academic Press, New York, 1957. Zbl0077.18703MR88230
  11. [11] D.S. Carter, Local behavior of plane gravity flows at the confluence of free boundaries and analytic fixed boundaries, J. Math. and Mech., 40 (1961), pp. 441-449. Zbl0096.42101MR129241
  12. [12] A. Friedman, Partial Differential Equations, Holt. Reinhart & Winston, New York, 1969. (Reprinted by Krieger, 1976.) Zbl0224.35002MR445088
  13. [13] A. Friedman, Variational Principles and Free Boundary Problems, Wiley & Sons, New York, 1982. Zbl0564.49002MR679313
  14. [14] A. Friedman, Axially symmetric cavities in rotational flows, Comm. in Partial Differential Equations, 8 (1983), pp. 949-997. Zbl0526.35029MR702728
  15. [15] A. Friedman - R. Jensen, Convexity of the free boundary in the Stefan problem and in the dam problem, Arch. Rat. Mech. Anal., 67 (1978), pp. 1-24. Zbl0375.35028MR473315
  16. [16] D. Gilbarg, Sets and Cavities, in Handbuch der Physiks, vol. 9, Springer-Verlag, New York, 1960. MR119655
  17. [17] N. Meyers, An expansion about infinity of solutions of linear elliptic equations, J. Math. and Mech., 42 (1963), pp. 247-264. Zbl0121.32202MR149072
  18. [18] A. Pazy, Asymptotic expansions of solutions of ordinary differential equation in Hilbert space, Arch. Rational Mech. Anal., 24 (1967), pp. 193-218. Zbl0147.12303MR209618

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