A study of Long time behaviours of solutions of Zakharov-Kuznetsov Equations
A study of Long time behaviours of solutions of Zakharov-Kuznetsov Equations
In this thesis, we study different aspects of behaviors in long time of the generalized Zakharov-Kuznetsov equations: \begin{align}\tag{gZK}\label{gZK_resume_en} \partial_t u + \partial_1 \left( \Delta u + u ^p \right)=0, \quad (t,\bx)\in \mathbb{R}_t\times \mathbb{R}^d_\bx, \quad d\in \left\{ 2, 3 \right\}, \quad p\geq 2. \end{align} The first chapter sums up the state-of-the-art …