2 citations · 2 across the 3 of their papers we have counts for
5 papers
Global oscillatory solutions for the Yang-Mills heat flow
Yannick Sire, Juncheng Wei, Youquan Zheng +1
We investigate the long-time dynamics for the global solution of the -equivariant Yang-Mills heat flow (YMHF) with structure group in space dimension . For a clas…
Finite time blow up solutions for heat equations with Neumann boundary conditions on
Xiang Fang, Juncheng Wei, Youquan Zheng
We consider the nonlinear heat equations with Neumann boundary conditions $$ \begin{cases} u_{t}=Δu & \text{in}\ \mathbb{R}_{+}^{4} \times(0, T) ,\\ -\frac{d u}{d x_{4}}(\tilde{x},…
Multi-bubble solutions for the Dirichlet problem of the -system with higher degree
Xiang Fang, Juncheng Wei, Youquan Zheng +1
We consider a Dirichlet problem of the -system \begin{equation*} \begin{cases} Δv = 2v_x\wedge v_y ~& \text{ in }\mathcal{D},\\ v=\varepsilon \tilde g ~& \text{ on }\partial{\ma…
Central Limit Theorem for the number of real roots of Kostlan Shub Smale random polynomial systems
Diego Armentano, Jean-Marc Azaïs, Federico Dalmao +1
We obtain a Central Limit Theorem for the normalized number of real roots of a square Kostlan-Shub-Smale random polynomial system of any size as the degree goes to infinity. A stud…
Nondegeneracy of half-harmonic maps from into
Y. Sire, J. Wei, Y. Zheng
We prove that the standard half-harmonic map defined by \begin{equation*} x\to \begin{pmatrix} \frac{x^2-1}{x^2+1} \frac{-2x}{x^2+1} \end{pmatrix} \en…