Francisc Bozgan

collaborators

2 papers

math.AP2025

Global Well-Posedness and Blow-Up for the fifth order $L^{2} -$ critical KP-I equation

Francisc Bozgan

In the current paper, we investigate the fifth order modified KP-I eqaution, namely \begin{equation*} \partial_t u-\partial_{x}^{5}u-\partial_{x}^{-1}\partial_{y}u+\partial_{x}(u^3…

math.AP2024

Blow-Up Dynamics for the $L^{2}$ critical case of the $2$ D Zakharov-Kuznetsov equation

Francisc Bozgan, Tej-Eddine Ghoul, Nader Masmoudi +1

We investigate the blow-up dynamics for the $L^{2}$ critical two-dimensional Zakharov-Kuznetsov equation \begin{equation*} \begin{cases} \partial_t u+\partial_{x_1} (Îu+u^3)=0, \mbo…

Global Well-Posedness and Blow-Up for the fifth order L2−critical KP-I equation

Blow-Up Dynamics for the L2 critical case of the 2D Zakharov-Kuznetsov equation

Global Well-Posedness and Blow-Up for the fifth order $L^{2} -$ critical KP-I equation

Blow-Up Dynamics for the $L^{2}$ critical case of the $2$ D Zakharov-Kuznetsov equation