Nonlinear Effects of Large-Amplitude Plasma Waves

1968 ◽  
Vol 11 (8) ◽  
pp. 1761 ◽  
Author(s):  
C. B. Wharton
1979 ◽  
Vol 22 (3) ◽  
pp. 571-572
Author(s):  
E. Infeld ◽  
G. Rowlands

In this note we investigate the stability of large-amplitude longitudinal relativistic plasma waves. We find that they are secularly stable, that is, small perturbations grow in time proportional to time but not exponentially with time. Similar results have recently been obtained for transverse waves by Romeiras (1978)


2005 ◽  
Vol 71 (05) ◽  
pp. 631 ◽  
Author(s):  
C.M.C. NAIRN ◽  
R. BINGHAM ◽  
J.E. ALLEN

Author(s):  
Nuno Fonseca ◽  
Eduardo Antunes ◽  
Carlos Guedes Soares

The paper presents a time domain method to calculate the ship responses in heavy weather, including the global structural loads due to whipping. Since large amplitude waves induce nonlinear ship responses, and in particular highly nonlinear vertical structural loads, the equations of motions and structural loads are solved in the time domain. The “partially nonlinear” time domain seakeeping program accounts for the most important nonlinear effects. Slamming forces are given by the contribution of two components: an initial impact due to bottom slamming and flare slamming due to the variation of momentum of the added mass. The hull vibratory response is calculated applying the modal analysis together with direct integration of the differential equations in the time domain. The structural dynamic characteristics of the hull are modeled by a finite element representation of a Timoshenko beam accounting for the shear deformation and rotary inertia. The calculation procedure is applied to a frigate advancing in regular waves. The contribution of whipping loads to the vertical bending moments on the ship structure is assessed by comparing this response with and without the hull vibration.


2011 ◽  
Vol 18 (2) ◽  
pp. 193-208 ◽  
Author(s):  
M. J. Mercier ◽  
R. Vasseur ◽  
T. Dauxois

Abstract. We revisit experimental studies performed by Ekman on dead-water (Ekman, 1904) using modern techniques in order to present new insights on this peculiar phenomenon. We extend its description to more general situations such as a three-layer fluid or a linearly stratified fluid in presence of a pycnocline, showing the robustness of dead-water phenomenon. We observe large amplitude nonlinear internal waves which are coupled to the boat dynamics, and we emphasize that the modeling of the wave-induced drag requires more analysis, taking into account nonlinear effects. Dedicated to Fridtjöf Nansen born 150 yr ago (10 October 1861).


1977 ◽  
Vol 18 (2) ◽  
pp. 249-256 ◽  
Author(s):  
P. K. Shukla

We study nonlinear effects associated with large amplitude electron plasma waves propagating at an arbitrary angle to the external magnetic field. It is shown that the nonlinear coupling of high-frequency plasma waves with static density perturbations leads to a convective instability. The growth length of the latter is obtained. The evolution of the wave electric field is also investigated.


1973 ◽  
Vol 13 (6) ◽  
pp. 807-816 ◽  
Author(s):  
J. Jancarik ◽  
V.N. Tsytovich

1971 ◽  
Vol 26 (7) ◽  
pp. 350-353 ◽  
Author(s):  
Yoshiharu Nakamura ◽  
Masataka Ito
Keyword(s):  

1993 ◽  
Vol 20 (3) ◽  
pp. 181-184 ◽  
Author(s):  
Naoyuki Sato ◽  
Rikizo Hatakeyama ◽  
Noriyoshi Sato

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