Free boundary problem in fluid dynamics
Variational methods for equilibrum problems of fluids - Trento, 20-25 juin 1983, Astérisque, no. 118 (1984), pp. 55-67. 
@incollection{AST_1984__118__55_0,
     author = {Friedman, A.},
     title = {Free boundary problem in fluid dynamics},
     booktitle = {Variational methods for equilibrum problems of fluids - Trento, 20-25 juin 1983},
     series = {Ast\'erisque},
     pages = {55--67},
     publisher = {Soci\'et\'e math\'ematique de France},
     number = {118},
     year = {1984},
     mrnumber = {761737},
     zbl = {0588.76016},
     language = {en},
     url = {http://archive.numdam.org/item/AST_1984__118__55_0/}
}
TY  - CHAP
AU  - Friedman, A.
TI  - Free boundary problem in fluid dynamics
BT  - Variational methods for equilibrum problems of fluids - Trento, 20-25 juin 1983
AU  - Collectif
T3  - Astérisque
PY  - 1984
SP  - 55
EP  - 67
IS  - 118
PB  - Société mathématique de France
UR  - http://archive.numdam.org/item/AST_1984__118__55_0/
LA  - en
ID  - AST_1984__118__55_0
ER  - 
%0 Book Section
%A Friedman, A.
%T Free boundary problem in fluid dynamics
%B Variational methods for equilibrum problems of fluids - Trento, 20-25 juin 1983
%A Collectif
%S Astérisque
%D 1984
%P 55-67
%N 118
%I Société mathématique de France
%U http://archive.numdam.org/item/AST_1984__118__55_0/
%G en
%F AST_1984__118__55_0
Friedman, A. Free boundary problem in fluid dynamics, dans Variational methods for equilibrum problems of fluids - Trento, 20-25 juin 1983, Astérisque, no. 118 (1984), pp. 55-67. http://archive.numdam.org/item/AST_1984__118__55_0/

[1] H. W. Alt and L. A. Caffarelli, Existence and regularity for a minimum problem with free boundary, J. Reine Angew. Math. 105 (1981), 105-144. | EuDML | MR | Zbl

[2] H. W. Alt, L. A. Caffarelli and A. Friedman, Axially symmetric jet flows. Arch. Rat. Mech. Anal. 81 (1983), 97-149. | DOI | MR | Zbl

[3] H. W. Alt, L. A. Caffarelli and A. Friedman, Asymmetric jet flows, Comm. Pure Appl. Math. 35 (1982), 29-68. | DOI | MR | Zbl

[4] H. W. Alt, L. A. Caffarelli and A. Friedman, Jet flows with gravity, J. Reine Angew. Math. 331 (1982), 58-103. | EuDML | MR | Zbl

[5] H. W. Alt, L. A. Caffarelli and A. Friedman, Variational problems with two phases and their free boundaries, Trans. Amer. Math. Soc., to appear. | MR | Zbl

[6] H. W. Alt, L. A. Caffarelli and A. Friedman, Jets with two fluids I: one free boundary, Indiana Univ. Math. J., to appear. | MR | Zbl

[7] H. W. Alt, L. A. Caffarelli and A. Friedman, Jets with two fluids II: two free boundaries, Indiana Univ. Math. J., to appear. | MR | Zbl

[8] H. W. Alt, L. A. Caffarelli and A. Friedman, A free boundary problem for quasilinear elliptic equations, Ann. Sc. Norm. Sup. Pisa, to appear. | EuDML | Numdam | MR | Zbl

[9] H. W. Alt, L. A. Caffarelli and A. Friedman, Compressible flows of jets and cavities, J. Diff. Eqs., to appear. | MR | Zbl

[10] H. W. Alt, L. A. Caffarelli and A. Friedman, The dam problem with two fluids. Comm. Pure Appl. Math., to appear. | MR | Zbl

[11] G. D. Birkhoff and E. H. Zarantonello, Jets, wakes and cavities, Academic Press, New York, 1957. | MR | Zbl

[12] L. A. Caffarelli and A. Friedman, Axially symmetric in finite cavities, Indiana Univ. Math. J. 30 (1982), 135-160. | DOI | MR | Zbl

[13] R. Finn, Some theorems on discontinuity of plane fluid motion, J. d'Analyse Math. 4 (1954/6), 246-291. | DOI | MR | Zbl

[14] A. Friedman, Variational principles and free boundary problems, John Wiley, New York, 1982. | MR | Zbl

[15] A. Friedman, Axially symmetric cavities in rotational flows, Comm. in P.D.E., 8 (1983), 949-997. | DOI | MR | Zbl

[16] A. Friedman and T. I. Vogel, Cavitational flow in a channel with oscillatory wall, Nonlinear Analysis, to appear. | MR | Zbl

[17] P. R. Garabedian, H. Lewy and M. Schiffer, Axially symmetric cavitational flow, Ann. of Math. 56 (1952), 560-602. | DOI | MR | Zbl

[18] P. R. Garabedian and D. C. Spencer, Extremal methods in cavitational flow, J. Rat. Mech. Anal. 1 (1952), 350-409. | MR | Zbl

[19] D. Gilbarg, Uniqueness of axially symmetric flows with free boundaries, J. Rat. Mech. Anal. 1 (1952), 309-320. | MR | Zbl

[20] D. Gilbarg, Jets and cavities, in Handbuch der Physik, vol. 9, Springer-Verlag New York, 1960. | MR | Zbl

[21] J. Leray, Les Problèmes de représentation conforme de Helmholtz I, II, Comm. Math. Helv. 8 (1935), 149-180 ; 250-263. | DOI | EuDML | JFM | MR | Zbl

[22] J. Serrin, Existence theorems for some hydrodynamical free boundary problems, J. Rat. Mech. Anal. 1 (1952), 1-48. | MR | Zbl