2 citations · 4 across the 3 of their papers we have counts for
6 papers
Finite-time singularity formation for the heat flow of the -system
Yannick Sire, Juncheng Wei, Youquan Zheng +1
We construct the first example of finite time blow-up solutions for the heat flow of the -system, describing the evolution of surfaces with constant mean curvature \begin{equati…
On Fila-King Conjecture in Dimension Four
Juncheng Wei, Qidi Zhang, Yifu Zhou
We consider the following Cauchy problem for the four-dimensional energy critical heat equation \begin{equation*} \begin{cases} u_t=Δu+u^{3} ~&\mbox{ in }~ {\mathbb R}^4 \times (0,…
Global existence of free-energy solutions to the 2D Patlak--Keller--Segel--Navier--Stokes system with critical and subcritical mass
Chen-Chih Lai, Juncheng Wei, Yifu Zhou
We consider a coupled Patlak-Keller-Segel-Navier-Stokes system in that describes the collective motion of cells and fluid flow, where the cells are attracted by a ch…
New type II Finite time blow-up for the energy supercritical heat equation
Manuel del Pino, Chen-Chih Lai, Monica Musso +2
We consider the energy supercritical heat equation with the -th Sobolev exponent \begin{equation*} \begin{cases} u_t=Δu+u^{3},~&\mbox{ in } Ω\times (0,T),\\ u(x,t)=u|_{\part…
Finite time blow-up for the nematic liquid crystal flow in dimension two
Chen-Chih Lai, Fanghua Lin, Changyou Wang +2
We consider the initial-boundary value problem of a simplified nematic liquid crystal flow in a bounded, smooth domain . Given any distinct points in the…
Infinite time blow-up for the fractional heat equation with critical exponent
M. Musso, Y. Sire, J. Wei +2
We consider positive solutions for the fractional heat equation with critical exponent \begin{equation*} \begin{cases} u_t = -(-Δ)^{s}u + u^{\frac{n+2s}{n-2s}}\text{ in } Ω\times (…