Application of Hamiltonian Methods to the Structure and Stability of Water Waves of Permanent Form

1988 ◽  
pp. 207-210 ◽  
Author(s):  
P. G. Saffman

We apply some general results for Hamiltonian systems, depending on the notion of signature of eigenvalues, to determine the circumstances under which collisions of imaginary eigenvalue for the linearized problem about a travelling water wave of permanent form are avoided or lead to loss of stability, up to non-degeneracy assumptions. A new superharmonic instability is predicted and verified.


2001 ◽  
Vol 40 (5) ◽  
pp. 891-894 ◽  
Author(s):  
Masato Kakihana ◽  
Masaru Tada ◽  
Motoo Shiro ◽  
Valery Petrykin ◽  
Minoru Osada ◽  
...  

2001 ◽  
Vol 105 (46) ◽  
pp. 10525-10537 ◽  
Author(s):  
Shruti Maheshwary ◽  
Nitin Patel ◽  
Narayanasami Sathyamurthy ◽  
Anant D. Kulkarni ◽  
Shridhar R. Gadre

2007 ◽  
Vol 20 (1) ◽  
pp. 015213 ◽  
Author(s):  
Itsuo Hanasaki ◽  
Akihiro Nakamura ◽  
Toru Yonebayashi ◽  
Satoyuki Kawano

1980 ◽  
Vol 100 (4) ◽  
pp. 801-810 ◽  
Author(s):  
D. B. Olfe ◽  
James W. Rottman

The classical series expansion procedure of Michell is used to calculate some new highest-wave solutions. These solutions are shown to correspond to the types of gravity waves studied recently by Chen & Saffman (1980). Results are presented for wave profiles, phase speeds, and kinetic and potential energies.


ChemInform ◽  
2009 ◽  
Vol 40 (29) ◽  
Author(s):  
R. Parthasarathi ◽  
M. Elango ◽  
V. Subramanian ◽  
N. Sathyamurthy

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