Yuan Li

activity

20182023

most citedBlowup dynamics for Mass Critical Half-wave equation in 3D

7 citations · 15 across the 8 of their papers we have counts for

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Showing 2022Show all

2 papers · 1 filter

math.AP2022

Blowup dynamics for mass critical Half-wave equation in 2D

Vladimir Georgiev, Yuan Li

We consider the half-wave equation $i u_{t} = D u - ∣ u ∣ u$ in two dimensions. For the initial data $u_{0} (x) \in H^{s} (R^{2})$ , $s \in (\frac{3}{4}, 1)$ , we obtain the non-radia…

math.AP2022

On mass - critical NLS with local and non-local nonlinearities

Vladimir Georgiev, Yuan Li

We consider the following nonlinear Schrödinger equation with the double $L^{2}$ -critical nonlinearities \begin{align*} iu_t+Δu+|u|^\frac{4}{3}u+μ\left(|x|^{-2}*|u|^2\right)u=0\ \ \…