A New Proof of Global SmoothingEstimates for Dispersive Equations

2004 ◽  
pp. 65-75 ◽  
Author(s):  
Michael Ruzhansky ◽  
Mitsuru Sugimoto
Keyword(s):  
Dispersive Equations

scholarly journals Degenerate dispersive equations arising in the study of magma dynamics

Nonlinearity ◽  
2006 ◽  
Vol 20 (1) ◽  
pp. 21-49 ◽  
Author(s):  
G Simpson ◽  
M Spiegelman ◽  
M I Weinstein
Keyword(s):  
Dispersive Equations ◽  
Magma Dynamics

scholarly journals Linear dispersive equations of Airy type

1990 ◽  
Vol 87 (1) ◽  
pp. 38-61 ◽  
Author(s):  
Walter Craig ◽  
Jonathan Goodman
Keyword(s):  
Dispersive Equations

ON THE INSTABILITY OF PERIODIC WAVES FOR DISPERSIVE EQUATIONS—REVISITED

2021 ◽  
pp. 1-23
Author(s):  
FÁBIO NATALI ◽  
SABRINA AMARAL
Keyword(s):  
Traveling Wave ◽  
Orbital Stability ◽  
Traveling Wave Solutions ◽  
Spectral Stability ◽  
Dispersive Equations ◽  
Periodic Waves ◽  
General Proof ◽  
Wave Solutions ◽  
Periodic Traveling Wave

Abstract The purpose of this paper is to present an extension of the results in [8]. We establish a more general proof for the moving kernel formula to prove the spectral stability of periodic traveling wave solutions for the regularized Benjamin–Bona–Mahony type equations. As applications of our analysis, we show the spectral instability for the quintic Benjamin–Bona–Mahony equation and the spectral (orbital) stability for the regularized Benjamin–Ono equation.

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