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Register a new userConvexity of Whithams highest cusped wave
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We prove the existence of a periodic traveling wave of extreme form of the Whitham equation that has a convex profile between consecutive stagnation points, at which it is known to feature a cusp of exactly $C^{1/2}$ regularity. The convexity of Whithams highest cusped wave had been conjectured by Ehrnstrom and Wahlen.
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