scholarly journals Fast Numerical Methods for Bernoulli Free Boundary Problems

2007 ◽  
Vol 29 (2) ◽  
pp. 622-634 ◽  
Author(s):  
Christopher M. Kuster ◽  
Pierre A. Gremaud ◽  
Rachid Touzani
2012 ◽  
Vol 80 (1) ◽  
pp. 173-188 ◽  
Author(s):  
Jukka I. Toivanen ◽  
Raino A. E. Mäkinen ◽  
Jaroslav Haslinger

2008 ◽  
Vol 138 (6) ◽  
pp. 1345-1362 ◽  
Author(s):  
Eugen Varvaruca

We study weak solutions for a class of free-boundary problems which includes as a special case the classical problem of travelling gravity waves on water of finite depth. We show that such problems are equivalent to problems in fixed domains and study the regularity of their solutions. We also prove that in very general situations the free boundary is necessarily the graph of a function.


2008 ◽  
Vol 196 (914) ◽  
pp. 0-0 ◽  
Author(s):  
E. Shargorodsky ◽  
J. F. Toland

1994 ◽  
Vol 63 (207) ◽  
pp. 426
Author(s):  
L. R. S. ◽  
P. Neittaanmaki

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