25 citations · 63 across the 9 of their papers we have counts for
10 papers
Cwikel-Lieb-Rozenblum type inequalities for Hardy-Schrödinger operator
Giao Ky Duong, Rupert L. Frank, Thi Minh Thao Le +2
We prove a Cwikel-Lieb-Rozenblum type inequality for the number of negative eigenvalues of the Hardy-Schrödinger operator on . The b…
Flat blow-up solutions for the complex Ginzburg Landau equation
Giao Ky Duong, Nejla Nouaili, Hatem Zaag
In this paper, we consider the complex Ginzburg-Landau equation The study…
Modulation theory for the flat blowup solutions of nonlinear heat equation
Giao Ky Duong, Nejla Nouaili, Hatem Zaag
In this paper, we revisit the proof of the existence of a solution to the semilinear heat equation in one space dimension with a at blowup profile, already proved by Bricmont and K…
Non-self similar blowup solutions to the higher dimensional Yang-Mills heat flows
A. Bensouilah, G. K. Duong, T. E. Ghoul
In this paper, we consider the Yang-Mills heat flow on with . Under a certain symmetry preserved by the flow, the Yang-Mills equation can be re…
Sharp equivalent for the blowup profile to the gradient of a solution to the semilinear heat equation
G. K. Duong, T. E. Ghoul, H. Zaag
In this paper, we consider the standard semilinear heat equation \begin{eqnarray*} \partial_t u = Δu + |u|^{p-1}u, \quad p >1. \end{eqnarray*} The determination of the (believed to…
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…
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…
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…
Construction of a stable blowup solution with a prescribed behavior for a non-scaling invariant semilinear heat equation
G. K. Duong, V. T. Nguyen, H. Zaag
We consider the semilinear heat equation \begin{eqnarray*} \partial_t u = Δu + |u|^{p-1} u \ln ^α( u^2 +2), \end{eqnarray*} in the whole space , where and $ α…
Construction of a blow-up solution for the Complex Ginzburg-Landau equation in some critical case
Nejla Nouaili, Hatem Zaag
We construct a solution for the Complex Ginzburg-Landau equation in some critical case, which blows up in finite time only at one blow-up point. We also give a sharp descriptio…