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Nonlinear instability of linearly unstable standing waves for nonlinear Schrödinger equations
Nonlinear instability linearly unstable standing waves nonlinear Schrö dinger equations
2010/12/13
We study the instability of standing waves for nonlinear Schr¨odinger equations. Under a general assumption on nonlinearity, we prove that linear instability implies orbital instability in any dimensi...
Nonlinear instability of wormholes supported by exotic dust and a magnetic field
wormholes supported exotic dust magnetic field
2010/3/17
Recently, spherically symmetric, static wormholes supported by exotic dust and a radial magnetic field have been derived and argued to be stable with respect to linear radial fluctuations. In this rep...
Nonlinear instability of baroclinic atmosphere with reference to planetary scale disturbances
Nonlinear instability baroclinic atmosphere planetary scale disturbances
2009/11/11
In this paper we investigate the stability of zonal flow in a baroclinic atmosphere with respect to finite-amplitude planetary-scale disturbances by applying Arnold's method. Specifically, we examine ...
Nonlinear instability and sensitivity of a theoretical grassland ecosystem to finite-amplitude perturbations
Nonlinear instability theoretical grassland ecosystem finite-amplitude perturbations
2009/11/3
Within a theoretical model context, the sensitivity and instability of the grassland ecosystem to finite-amplitude perturbations are studied. A new approach of conditional nonlinear optimal perturbati...