3 papers
math.AP2020
Diffusion-induced blowup solutions for the shadow limit model of a singular Gierer-Meinhardt system
G. Ky Duong, Nikos I. Kavallaris, Hatem Zaag
In the current paper, we provide a thorough investigation of the blowing up behaviour induced via diffusion of the solution of the following non local problem \begin{equation*} \le…
math.AP2019
Construction of blowup solutions for the Complex Ginzburg-Landau equation with critical parameters
Giao Ky Duong, Nejla Nouaili, Hatem Zaag
We construct a solution for the Complex Ginzburg-Landau (CGL) equation in a general critical case, which blows up in finite time T only at one blow-up point. We also give a sharp d…
math.AP2018
Profile of touch-down solution to a nonlocal MEMS model
Giao Ky Duong, Hatem Zaag
In this paper, we are interested in the mathematical model of MEMS devices which is presented by the following equation on \begin{eqnarray*} \partial_t u = Δu +\d…