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- W2165213647 abstract "It is shown that certain undercompressive shock profile solutions of the modified Korteweg-de Vries-Burgers equation @tu + @x(u 3 ) = @ 3 xu + @ 2 xu, 0 are spectrally stable when is suciently small, in the sense that their lin- earized perturbation equations admit no eigenvalues having positive real part except a simple eigenvalue of zero (due to the translation invariance of the linearized perturbation equations). This spectral stability makes it possible to apply a theory of Howard and Zumbrun to immediately deduce the asymptotic orbital stability of these undercompressive shock profiles when is suciently small and positive." @default.
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- W2165213647 date "2007-10-01" @default.
- W2165213647 modified "2023-09-27" @default.
- W2165213647 title "Spectral stability of undercompressive shock profile solutions of a modified KdV-Burgers equation" @default.
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