8 papers · 1 filter
Regularity and singularity of the blow-up curve for a wave equation with a derivative nonlinearity and a scale-invariant damping
Ahmed Bchatnia, Makram Hamouda, Firas Kaabi +2
In this article, we investigate the blow-up behavior of solutions to the one-dimensional damped nonlinear wave equation, namely $$ \partial_t^2 u - \partial_x^2 u + \fracμ{1 + t}…
Scalar behavior for a complex multi-soliton arising in blow-up for a semilinear wave equation
Asma Azaiez, Jacek Jendrej, Hatem Zaag
This paper deals with blow-up for the complex-valued semilinear wave equation with power nonlinearity in dimension 1. Up to a rotation of the solution in the complex plane, we show…
The blow-up rate for a loglog non-scaling invariant semilinear wave equation
Tristan Roy, Hatem Zaag
We consider blow-up solutions of a semilinear wave equation with a loglog perturbation of the power nonlinearity in the subconformal case, and show that the blow-up rate is given b…
A better bound on blow-up rate for the superconformal semilinear wave equation
Mohamed Ali Hamza, Hatem Zaag
We consider the semilinear wave equation in higher dimensions with superconformal power nonlinearity. The purpose of this paper is to give a new upper bound on the blow-up rate in…
Radial blow-up standing solutions for the semilinear wave equation
Maissâ Boughrara, Maissâ Boughrara, Hatem Zaag
We consider the semilinear wave equation with a power nonlinearity in the radial case. Given , we construct a blow-up solution such that the solution near con…
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 = Îu - \nabla \cdot (u \nabla \mathcal{K}_u), \quad -Î\mathcal{K}_u = u \qua…