4 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…
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…