Whitham's modulation equations and stability of periodic wave solutions of the Korteweg-de Vries-Kuramoto-Sivashinsky Equation
نویسندگان
چکیده
منابع مشابه
Spectral stability of periodic wave trains of the Korteweg-de Vries/Kuramoto-Sivashinsky equation in the Korteweg-de Vries limit
We study the spectral stability of a family of periodic wave trains of the Korteweg-de Vries/Kuramoto-Sivashinsky equation ∂tv + v∂xv + ∂ 3 x v + δ ( ∂ x v + ∂ x v ) = 0, δ > 0, in the Korteweg-de Vries limit δ → 0, a canonical limit describing small-amplitude weakly unstable thin film flow. More precisely, we carry out a rigorous singular perturbation analysis reducing the problem of spectral ...
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ژورنال
عنوان ژورنال: Indiana University Mathematics Journal
سال: 2013
ISSN: 0022-2518
DOI: 10.1512/iumj.2013.62.4955