Minjie Shan

collaborators

2 papers

math.AP2020

Resonant Decompositions and Global Well-posedness for 2D Zakharov-Kuznetsov Equation in Sobolev spaces of Negative Indices

Minjie Shan, Baoxiang Wang, Liqun Zhang

The Cauchy problem for Zakharov-Kuznetsov equation on $R^{2}$ is shown to be global well-posed for the initial date in $H^{s}$ provided $s > - \frac{1}{13}$ . As conservation la…

math.AP2018

Global Well-Posedness and Global Attractor for Two-dimensional Zakharov-Kuznetsov Equation

Minjie Shan

The initial value problem for two-dimensional Zakharov-Kuznetsov equation is shown to be globally well-posed in $H^{s} (R^{2})$ for all $\frac{5}{7} < s < 1$ via using $I$ -method…