For general amplitude periodic traveling waves of the Ostrovsky equation, strict hyperbolicity of the derived Whitham system implies spectral modulational stability near the origin, while ellipticity implies spectral instability.
Baumg¨ artel.Analytic perturbation theory for matrices and operators, volume 15 of Operator Theory: Advances and Applications
1 Pith paper cite this work. Polarity classification is still indexing.
1
Pith paper citing it
citation-role summary
background 1
citation-polarity summary
fields
math.AP 1years
2025 1verdicts
CONDITIONAL 1roles
background 1polarities
background 1representative citing papers
citing papers explorer
-
On the Modulation of Wave Trains in the Ostrovsky Equation
For general amplitude periodic traveling waves of the Ostrovsky equation, strict hyperbolicity of the derived Whitham system implies spectral modulational stability near the origin, while ellipticity implies spectral instability.