A sharp stability criterion for soliton-type propagating phase boundaries in Korteweg's model

DOI10.4171/ZAA/1341zbMath1187.35229arXivmath/0604375MaRDI QIDQ2427607

Kevin Zumbrun

Publication date: 13 May 2008

Published in: Zeitschrift für Analysis und ihre Anwendungen (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/math/0604375

zbMATH Keywords

stabilityEvans functionHamiltonian PDEisentropic gas dynamicsKorteweg modelsoliton-type solutions

Mathematics Subject Classification ID

Stability in context of PDEs (35B35) KdV equations (Korteweg-de Vries equations) (35Q53) Gas dynamics (general theory) (76N15) Soliton equations (35Q51)

Related Items

Stability of periodic Kuramoto-Sivashinsky waves ⋮ On the spectral stability of soliton-like solutions to a non-local hydrodynamic-type model ⋮ Nonlinear modulational stability of periodic traveling-wave solutions of the generalized Kuramoto-Sivashinsky equation ⋮ Standing solitary Euler-Korteweg waves are unstable ⋮ Stability of large- and small-amplitude solitary waves in the generalized Korteweg-de Vries and Euler-Korteweg/Boussinesq equations ⋮ Spectral transverse instability of solitary waves in Korteweg fluids

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