L. Molinet

activity

20052025

most citedGlobal well-posedness for the KP-I equation on the background of a non localized solution

59 citations · 99 across the 14 of their papers we have counts for

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Showing 2024 · math.APShow all

2 papers · 2 filters

math.AP2024

Self-similar solutions for the generalized fractional Korteweg-de Vries equation

Luc Molinet, Stéphane Vento, Fred Weissler

We consider the Cauchy problem for the generalized fractional Korteweg-de Vries equation $u_{t} + D^{α} u_{x} + u^{p} u_{x} = 0, 1 < α \leq 2, p \in N ∖ {0},$ with h…

math.AP2024

On the well-posedness of the KP-I equation

Zihua Guo, Luc Molinet

We revisit the local well-posedness for the KP-I equation. We obtain unconditional local well-posedness in $H^{s, 0} (R^{2})$ for $s > 3/4$ and unconditional global well-posedn…