منابع مشابه
Continuous spectra and numerical eigenvalues
1. On numerical spectra for the linearized Burgers’ equation The stability of a traveling wave depends on the spectrum of a differential operator L obtained by linearization about the wave profile. As a simple example, consider Burgers’ equation ut = uxx − 1 2 (u)x, x ∈ R, t ≥ 0, with stationary solution U(x) = − tanh x 2 . Linearization about U(x) leads to the spectral problem Lu ≡ uxx − (Uu)x...
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ژورنال
عنوان ژورنال: Illinois Journal of Mathematics
سال: 1968
ISSN: 0019-2082
DOI: 10.1215/ijm/1256054217