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math.SP2008★ 2 cited
Spectral asymptotics for large skew-symmetric perturbations of the harmonic oscillator
I. Gallagher, Th. Gallay, F. Nier
Originally motivated by a stability problem in Fluid Mechanics, we study the spectral and pseudospectral properties of the differential operator $H_ε= -\partial_x^2 + x^2 + iε^{-1}…
math.AP2008★ 1 cited
Diffusive stability of oscillations in reaction-diffusion systems
Thierry Gallay, Arnd Scheel
We study nonlinear stability of spatially homogeneous oscillations in reaction-diffusion systems. Assuming absence of unstable linear modes and linear diffusive behavior for the ne…