126 citations · 738 across the 47 of their papers we have counts for
48 papers
Linear Stability and Inviscid Damping of Monotone Shear Flows for 2D Compressible Euler Equations
Zhile Li, Junyan Zhang, Lifeng Zhao
We study 2D compressible Euler equations linearized around monotone shear flows on . The shear rate is strictly positive, not necessar…
Nonexistence of blow-up solutions with smooth radiation for energy-critical equivariant wave maps
Jacek Jendrej, Yuchen Yin, Lifeng Zhao
We study -equivariant energy critical wave maps , for any equivariance degree . We prove that the radiation associated with any finite…
Invariant Gibbs measures and global dynamics for fractional cubic Schrödinger equations on the torus
Yuzhao Wang, Haitian Yue, Chenyuan Zhang +1
We consider the defocusing Wick-ordered cubic fractional nonlinear Schrödinger equation on the two-dimensional torus with dispersion relation . In the weakly dispersive…
Construction of multi-bubble solutions for the energy-critical wave equation in dimension four
Jingyuan Gu, Jacek Jendrej, Lifeng Zhao
For any , we construct a global solution of the energy-critical focusing wave equation in dimension four which blows up in infinite time at prescribed points $z_1,\ldo…
Rigidity of the multi-bubble solutions to the energy critical wave equation in dimension five
Jacek Jendrej, Chencheng Zhang, Lifeng Zhao
We study the asymptotic dynamics of multi-bubble solutions to the focusing energy-critical wave equation in five dimensions. Assuming that the solution asymptotically decomposes in…
Long time dynamics for helical vortex filament in Euler flows
Dengjun Guo, Lifeng Zhao
We consider the three-dimensional incompressible Euler equation \begin{equation*}\left\{\begin{aligned} &\partial_t Ω+U \cdot \nabla Ω-Ω\cdot \nabla U=0 \\ &Ω(x,0)=Ω_0(x) \end{alig…