2 papers
math.AP2026
Refined estimates of the propagation speed in porous medium equation of combustion type
Suying Liu, Fan Wu
We are concerned with the Cauchy problem , where the nonliearity is of combustion type and the initial data is compactly supported. In \cite{lou2024…
math.AP2025
Global well-posedness and orbital stability of solitary waves for Zakharov-Ito equation
Fan Wu, Feng Shao
In this paper, we consider the Zakharov-Ito equation \begin{equation*} \begin{cases} u_t+u_{xxx}+3uu_x+ρρ_x=0,\\ ρ_t+{(uρ)}_x=0. \end{cases} \end{equation*} We prove the local well…