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Unconditional deep-water limit of the intermediate long wave equation in low-regularity
Justin Forlano, Guopeng Li, Tengfei Zhao
In this paper, we establish the unconditional deep-water limit of the intermediate long wave equation (ILW) to the Benjamin-Ono equation (BO) in low-regularity Sobolev spaces on bo…
math.AP2024
Invariant measures for mKdV and KdV in infinite volume
Justin Forlano, Rowan Killip, Monica Visan
We construct dynamics for the defocusing real-valued (Miura) mKdV equation on the real line with initial data distributed according to Gibbs measure. We also prove that Gibbs measu…