Yongsheng Li

most citedGlobal Attractor for Weakly Damped Forced KdV Equation in Low Regularity on T

1 citations · 2 across the 3 of their papers we have counts for

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math.AP2009★ 1 cited

Global Attractor for Weakly Damped Forced KdV Equation in Low Regularity on T

Yongsheng Li, Yifei Wu

In this paper we consider the long time behavior of the weakly damped, forced Korteweg-de Vries equation in the Sololev spaces of the negative indices in the periodic case. We prov…

math.AP2009

On a quadratic nonlinear Schrödinger equation: sharp well-posedness and ill-posedness

Yongsheng Li, Yifei Wu

We study the initial value problem of the quadratic nonlinear Schrödinger equation $i u_{t} + u_{xx} = u u ˉ,$ where $u:\R\times \R\to \C$. We prove that it's locally well-posed in…

math.AP2009★ 1 cited

Global well-posedness for the Benjamin equation in low regularity

Yongsheng Li, Yifei Wu

In this paper we consider the initial value problem of the Benjamin equation $\partial_{t} u + ν (˝ \partial_{x}^{2} u) + μ \partial_{x}^{3} u + \partial_{x} u^{2} = 0,$ where $u:\R\times [0,T]\map…