25 citations · 28 across the 6 of their papers we have counts for
8 papers
Standing Sphere Blow-up Solutions to The Nonlinear Heat Equation
Senhao Duan, Nejla Nouaili, Hatem Zaag
In this paper, we construct a singular standing ring solution of the nonlinear heat in the radial case. We give rigorous proof for the existence of a ring blow-up solution in finit…
Construction of type I-Log blowup for the Keller-Segel system in dimensions and
V. T. Nguyen, N. Nouaili, H. Zaag
We construct finite time blowup solutions to the parabolic-elliptic Keller-Segel system $\partial_t u = Δu - \nabla \cdot (u \nabla \mathcal{K}_u), \quad -Δ\mathcal{K}_u = u \quad…
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…
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…
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…
Construction of a stable periodic solution to a semilinear heat equation with a prescribed profile
Fethi Mahmoudi, Nejla Nouaili, Hatem Zaag
We construct a periodic solution to the semilinear heat equation with power nonlinearity, in one space dimension, which blows up in finite time only at one blow-up point. We al…
Profile for a simultaneously blowing up solution for a complex valued semilinear heat equation
Nejla Nouaili, Hatem Zaag
We construct a solution to a complex nonlinear heat equation which blows up in finite time only at one blow-up point. We also give a sharp description of its blow-up profile. T…