A variational principle associated with the general linear capillary-gravity wave problem

1976 ◽  
Vol 57 (4) ◽  
pp. 311-313 ◽  
Author(s):  
J.C. Murray
Keyword(s):  
Variational Principle ◽  
Gravity Wave ◽  
General Linear ◽  
Wave Problem

scholarly journals On the linear capillary gravity wave problem

1976 ◽  
Vol 33 (4) ◽  
pp. 417-421 ◽  
Author(s):  
J. C. Murray
Keyword(s):  
Gravity Wave ◽  
Wave Problem

A gravity-wave problem with the upstream difference method

1980 ◽  
Vol 37 (2) ◽  
pp. 141-150 ◽  
Author(s):  
Philip S Brown ◽  
Joseph P Pandolfo
Keyword(s):  
Gravity Wave ◽  
Difference Method ◽  
Wave Problem

On the linear capillary-gravity wave problem

1975 ◽  
Vol 23 (3-4) ◽  
pp. 247-259 ◽  
Author(s):  
J. C. Murray
Keyword(s):  
Gravity Wave ◽  
Wave Problem

A variational principle for a fluid with a free surface

1967 ◽  
Vol 27 (2) ◽  
pp. 395-397 ◽  
Author(s):  
J. C. Luke
Keyword(s):  
Free Surface ◽  
Variational Principle ◽  
Potential Energy ◽  
Water Wave ◽  
Equations Of Motion ◽  
Lagrangian Function ◽  
Wave Problem ◽  
Water Wave Problem

The full set of equations of motion for the classical water wave problem in Eulerian co-ordinates is obtained from a Lagrangian function which equals the pressure. This Lagrangian is compared with the more usual expression formed from kinetic minus potential energy.

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