12 citations · 17 across the 8 of their papers we have counts for
13 papers · 1 filter
Generalized Adler-Moser Polynomials and Multiple vortex rings for the Gross-Pitaevskii equation
Weiwei Ao, Yehui Huang, Yong Liu +1
New finite energy traveling wave solutions with small speed are constructed for the three dimensional Gross-Pitaevskii equation \begin{equation*} iΨ_t= ΔΨ+(1-|Ψ|^2)Ψ, \end{equation…
Travelling and rotating solutions to the generalized inviscid surface quasi-geostrophic equation
Weiwei Ao, Juan Davila, Manuel del Pino +2
For the generalized surface quasi-geostrophic equation $$\left\{ \begin{aligned} & \partial_t θ+u\cdot \nabla θ=0, \quad \text{in } \mathbb{R}^2 \times (0,T), \\ & u=\nabla^\perp ψ…
Removability of singularities and superharmonicity for some fractional Laplacian equations
Weiwei Ao, Maria del Mar Gonzalez, Ali Hyder +1
We study some qualitative properties (including removable singularities and superharmonicity) of non-negative solutions to whi…
ODE-methods in non-local equations
Weiwei Ao, Hardy Chan, Azahara DelaTorre +3
Non-local equations cannot be treated using classical ODE theorems. Nevertheless, several new methods have been introduced in the non-local gluing scheme of our previous article "O…
Periodic Maxwell-Chern-Simons vortices with concentrating property
Weiwei Ao, Youngae Lee, Ohsang Kwon
In order to study electrically and magnetically charged vortices in fractional quantum Hall effect and anyonic superconductivity, the Maxwell-Chern-Simons (MCS) model was introduce…
Bound state solutions for the supercritical fractional Schrödinger equation
Weiwei Ao, Hardy Chan, Maria del Mar Gonzalez +1
We prove the existence of positive solutions for the supercritical nonlinear fractional Schrödinger equation in , with as $|x|\to +\…