Xiaoyi Zhang

activity

20052009

most citedThe mass-critical nonlinear Schrödinger equation with radial data in dimensions three and higher

75 citations · 120 across the 10 of their papers we have counts for

collaborators

Showing 2009Show all

3 papers · 1 filter

math-ph2009★ 2 cited

On a nonlocal aggregation model with nonlinear diffusion

Dong Li, Xiaoyi Zhang

We consider a nonlocal aggregation equation with nonlinear diffusion which arises from the study of biological aggregation dynamics. As a degenerate parabolic problem, we prove the…

math.AP2009★ 9 cited

Dynamics for the energy critical nonlinear Schrödinger equation in high dimensions

Dong Li, Xiaoyi Zhang

In \cite{duck-merle}, T. Duyckaerts and F. Merle studied the variational structure near the ground state solution $W$ of the energy critical NLS and classified the solutions with t…

math.AP2009★ 2 cited

On the rigidity of solitary waves for the focusing mass-critical NLS in dimensions $d \geq 2$

Dong Li, Xiaoyi Zhang

For the focusing mass-critical NLS $i u_{t} + Δ u = - ∣ u ∣^{\frac{4}{d}} u$ , it is conjectured that the only global non-scattering solution with ground state mass must be a solitary wave up to s…

On a nonlocal aggregation model with nonlinear diffusion

Dynamics for the energy critical nonlinear Schrödinger equation in high dimensions

On the rigidity of solitary waves for the focusing mass-critical NLS in dimensions d≥2

On the rigidity of solitary waves for the focusing mass-critical NLS in dimensions $d \geq 2$