3 papers
math.AP2026
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…
math.AP2025
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}=Îu & \text{in}\ \mathbb{R}_{+}^{4} \times(0, T) ,\\ -\frac{d u}{d x_{4}}(\tilde{x}…
math.AP2025
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} Îv = 2v_x\wedge v_y ~& \text{ in }\mathcal{D},\\ v=\varepsilon \tilde g ~& \text{ on }\partial{\m…