Steve Levandosky
Preprints
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On the Stability of Solitary Waves of a Generalized Ostrovsky
Equation, submitted.
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Stability of solitary waves for the generalized higher-order
Boussinesq equation, with Amin Esfahani, submitted.
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Solitary waves of the rotation-generalized Benjamin-Ono
equation, with Amin Esfahani, submitted.
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Stability of Solitary Waves of a Fifth-Order Water Wave Model,
Physica D, 227 (2007) no. 2, 162-172.
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Stability of Solitary Waves of a Generalized Ostrovsky Equation,
with Yue Liu, SIAM J. on Mathematical Analysis, 38 (2006), no. 3, 985-1011.
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Stability and Weak Rotation Limit of Solitary Waves of
the Ostrovsky Equation, with Yue Liu, Discrete and Continuous Dynamical Systems, Series B,
7 (2007), no. 4, 793-806.
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A stability analysis of fifth-order water wave models.
Physica D 125 (1999), no. 3-4, 222-240.
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Stability and instability of fourth-order solitary waves.
J. Dynam. Differential Equations 10 (1998), no. 1, 151-188.
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Decay estimates for fourth order wave equations.
J. Differential Equations 143 (1998), no. 2, 360-413.