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math.AP2026
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 dispers…
math.AP2024
Global well-posedness of weak solutions to the incompressible Euler equations with helical symmetry in
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…