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math.AP2016
On unconditional well-posedness for the periodic modified korteweg-de vries equation
Luc Molinet, Didier Pilod, Stéphane Vento
We prove that the modified KdV equation is unconditionally well-posed in H s (T) for s 1/3.
math.AP2016
Construction of a minimal mass blow up solution of the modified Benjamin-Ono equation
Yvan Martel, Didier Pilod
We construct a minimal mass blow up solution of the modified Benjamin-Ono equation (mBO) \[ u_{t}+(u^3-D^1 u)_{x}=0, \] which is a standard mass critical dispersive model. Let $Q\i…