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math.AP2018
On the periodic Zakharov-Kuznetsov equation
Felipe Linares, Mahendra Panthee, Tristan Robert +1
We consider the Cauchy problem associated with the Zakharov-Kuznetsov equation, posed on . We prove the local well-posedness for given data in whe…
math.AP2018
Remark on the semilinear ill-posedness for a periodic higher order KP-I equation
Tristan Robert
We prove that, for some irrational torus, the flow map of the periodic fifth-order KP-I equation is not locally uniformly continuous on the energy space, even on the hyperplanes of…