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• W2952054554 abstract "Stability of the peaked periodic waves in the reduced Ostrovsky equation has remained an open problem for a long time. In order to solve this problem we obtain sharp bounds on the exponential growth of the $L^2$ norm of co-periodic perturbations to the peaked periodic wave, from which it follows that the peaked periodic wave is linearly unstable. We also prove that the peaked periodic wave with parabolic profile is the unique peaked wave in the space of periodic $L^2$ functions with zero mean and a single minimum per period." @default.
• W2952054554 created "2019-06-27" @default.
• W2952054554 creator A5025706014 @default.
• W2952054554 creator A5046714116 @default.
• W2952054554 date "2018-04-11" @default.
• W2952054554 modified "2023-09-25" @default.
• W2952054554 title "Linear instability and uniqueness of the peaked periodic wave in the reduced Ostrovsky equation" @default.
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• W2952054554 hasPublicationYear "2018" @default.
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