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physics.flu-dyn2018
Shallow water models for stratified equatorial flows
Anna Geyer, Ronald Quirchmayr
Our aim is to study the effect of a continuous prescribed density variation on the propagation of ocean waves. More precisely, we derive KdV-type shallow water model equations for…
math.AP2018
Linear instability and uniqueness of the peaked periodic wave in the reduced Ostrovsky equation
Anna Geyer, Dmitry E. Pelinovsky
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…