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math.AP2023★ 1 cited
Long-time dynamics for the energy critical heat equation in
Zaizheng Li, Qidi Zhang, Yifu Zhou +1
We investigate the long-time behavior of global solutions to the energy critical heat equation in \begin{equation*} \begin{cases} \pp_t u=Δu+|u|^{\frac{4}{3}} u ~&\mbox{ in }…
math.AP2023★ 2 cited
Trichotomy dynamics of the 1-equivariant harmonic map flow
Juncheng Wei, Qidi Zhang, Yifu Zhou
For the 1-equivariant harmonic map flow from into \begin{equation*} \left\{ \begin{aligned} &v_t=v_{rr}+\frac{v_r}{r} - \frac{\sin(2v)}{2r^2} , ~\quad(r,t)\in R_+\time…