This is a preview of subscription content, access via your institution.
Buying options
Tax calculation will be finalised at checkout
Purchases are for personal use only
Learn about institutional subscriptionsPreview
Unable to display preview. Download preview PDF.
References
H.W. Alt and A. Caffarelli, Existence and regularity for a minimum problem with free boundary. J. Reine Angew. Math. 105 (1981), 105–144.
H.W. Alt, L.A. Caffarelli and A. Friedman, Axially symmetric jet flows, Arch. Rat. Mech. Anal. 81 (1983), 97–149.
H.W. Alt, L.A. Caffarelli and A. Friedman, Asymmetric jet flows, Comm. Pure Appl. Math. 35 (1982), 29–68.
H.W. Alt, L.A. Caffarelli and A. Friedman, Jet flows with gravity, J. Reine Angew. Math. 331 (1982), 58–103.
H.W. Alt, L.A. Caffarelli and A. Friedman, Variational problems with two phases and their free boundaries, Trans. Amer. Math. Soc., 282 (1984), 431–461.
H.W. Alt, L.A. Caffarelli and A. Friedman, Jets with two fluids I: one free boundary, Indiana Univ. Math. J., 33 (1984), 213–247.
H.W. Alt, L.A. Caffarelli and A. Friedman, Jets with two fluids II: two free boundaries, Indiana Univ. Math. J., 33 (1984), 367–391.
H.W. Alt, L.A. Caffarelli and A. Friedman, A free boundary problem for quasi-linear elliptic equations, Ann. Sc. Norm. Sup. Pisa, 11 (1984), 1–44.
H.W. Alt, L.A. Caffarelli and A. Friedman, Compressible flows of jets and cavities, J. Diff. Eqs., 56 (1985), 82–141.
H.W. Alt, L.A. Caffarelli and A. Friedman, The dam problem with two fluids, Comm. Pure Appl. Math., 37 (1984), 601–646.
H.W. Alt, L.A. Caffarelli and A. Friedman, Abrupt and smooth separation of free boundaries in flow problems, Scu. Norm. Sup. Pisa, to appear.
G.D. Birkhoff and E.H. Zarantonello, Jets, wakes and cavities, Academic Press, New York, 1957.
L.A. Caffarelli and A. Friedman, Axially symmetric in finite cavities, Indiana Univ. Math. J. 30 (1982), 135–160.
R. Finn, Some theorems on discontinuity of plane fluid motion, J.D'Analyse Math. 4 (1954/6), 246–291.
A. Friedman, Variational principles and free boundary problems, John Wiley, New York, 1982.
A. Friedman, Axially symmetric cavities in rotational flows, Comm. in P.D.E., 8 (1983), 949–997.
A. Friedman and S. Stojanovic, A free boundary problem associated with icing in a chanel, to appear.
A. Friedman and T.I. Vogel, Cavitational flow in a chanel with oscillatory wall, Nonlinear Analysis, 7 (1983), 1157–1192.
P.R. Garabedian, H. Lewy and M. Schiffer, Axially symmetric cavitational flow, Ann. of Math. 56 (1952), 560–602.
P.R. Garabedian and D.C. Spencer, Extremal methods in cavitational flow, J. Rat. Mech. Anal. 1 (1952), 350–409.
D. Gilbarg, Uniqueness of axially symmetric flows with free boundaries, J. Ra. Mech. Anal. 1 (1952), 309–320.
D. Gilbarg, Jets and cavities, in Handbuch der Physik, vol. 9, Springer-Verlag New York, 1960.
J. Leray, Les Problèmes de représentation conforme de Helmholtz I, II, Comm. Math. Helv. 8 (1935), 149–180; 250–263.
J. Serrin, Existence theorems for some hydrodynamical free boundary porblems, J. Rat. Mech. Anal. 1 (1952), 1–48.
L. Ting, D.S. Ahluwalia and M.J. Miksis, Solutions of a class of mixed free boundary problems, SIAM J. Appl. Math., 43 (1983), 759–775.
Author information
Authors and Affiliations
Editor information
Editors and Affiliations
Rights and permissions
Copyright information
© 1986 Equadiff 6 and Springer-Verlag
About this paper
Cite this paper
Friedman, A. (1986). Free boundary problems in fluid dynamics. In: Vosmanský, J., Zlámal, M. (eds) Equadiff 6. Lecture Notes in Mathematics, vol 1192. Springer, Berlin, Heidelberg. https://doi.org/10.1007/BFb0076048
Download citation
DOI: https://doi.org/10.1007/BFb0076048
Published:
Publisher Name: Springer, Berlin, Heidelberg
Print ISBN: 978-3-540-16469-2
Online ISBN: 978-3-540-39807-3
eBook Packages: Springer Book Archive
