منابع مشابه
Instability of Periodic Bgk Waves
We investigate the stability of periodic Bernstein-Greene-Kruskal (BGK) waves. It is proved that any such wave is linearly unstable under some perturbation of twice the period. A new method is developed to find a growing mode.
متن کاملNonlinear instability of periodic BGK waves for Vlasov-Poisson system
We investigate the nonlinear instability of periodic Bernstein-Greene-Kruskal(BGK) waves. Starting from an exponentially growing mode to the linearized equation, we proved nonlinear instability in the L-norm of the electric field.
متن کاملInstability of Some Bgk Waves for the Vlasov-poisson System
We consider a one-dimensional, collisionless plasma given by the Vlasov-Poisson system and investigate the stability of periodic steady state solutions known as Bernstein-Greene-Kruskal (BGK) waves. Using information about the induced dispersion operator, we determine sufficient conditions under which BGK waves are linearly unstable under perturbations that share the same period as the equilibr...
متن کاملThe instability of periodic surface gravity waves
Euler’s equations describe the dynamics of gravity waves on the surface of an ideal fluid with arbitrary depth. In this paper, we discuss the stability of periodic travelling wave solutions to the full set of nonlinear equations via a non-local formulation of the water wave problem, modified from that of Ablowitz, Fokas & Musslimani (J. Fluid Mech., vol. 562, 2006, p. 313), restricted to a one-...
متن کاملInstability of Periodic Sign-changed Waves for Sine-gordon Equation
The present paper deals with results of orbital instability of periodic waves related to sine-Gordon equation. Our periodic solutions obtained in our study tend to a kink wave solutions in the infinite wavelength scenario. The approaches used here will be the classical Grillakis, Shatah and Strauss’ theory.
متن کاملذخیره در منابع من
با ذخیره ی این منبع در منابع من، دسترسی به آن را برای استفاده های بعدی آسان تر کنید
ژورنال
عنوان ژورنال: Mathematical Research Letters
سال: 2001
ISSN: 1073-2780,1945-001X
DOI: 10.4310/mrl.2001.v8.n4.a11