2 citations · 2 across the 5 of their papers we have counts for
5 papers
Global Well-Posedness and Blow-Up for the fifth order 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…
Blow-Up Dynamics for the critical case of the D Zakharov-Kuznetsov equation
Francisc Bozgan, Tej-Eddine Ghoul, Nader Masmoudi +1
We study blow-up dynamics for the -critical cubic Zakharov--Kuznetsov equation in two dimensions, \[ \partial_tu+\partial_{x_1}(Δu+u^3)=0 \qquad\text{on }\mathbb R^2. \] For a…
Local wellposedness of the modified KP-I equations in periodic setting with small initial data
Francisc Bozgan
We prove local well-posedness of partially periodic and periodic modified KP-I equations, namely for $\partial_t u+(-1)^{\frac{l+1}{2}}\partial^l_x u-\partial_x^{-1}\partial_y^2 u+…
W-measurable sensitivity of semigroup actions
Francisc Bozgan, Anthony Sanchez, Cesar E. Silva +3
This paper studies the notion of W-measurable sensitivity in the context of semigroup actions. W-measurable sensitivity is a measurable generalization of sensitive dependence on in…
Subsequence Rational Ergodicity of Rank-One Transformations
Francisc Bozgan, Anthony Sanchez, Cesar E. Silva +2
We show that all rank-one transformations are subsequence boundedly rationally ergodic and that there exist rank-one transformations that are not weakly rationally ergodic.