3 papers
math.AP2025
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…
math.AP2020
Discontinuous Galerkin method for blow-up solutions of nonlinear 1D wave equations
Asma Azaiez, Mondher Benjemaa, Aida Jrajria +1
We develop and study a time-space discrete discontinuous Galerkin finite elements method to approximate the solution of one-dimensional nonlinear wave equations. We show that the n…
math.AP2016
Refined regularity for the blow-up set at non characteristic points for the complex semilinear wave equation
Asma Azaiez
In this paper, we consider a blow-up solution for the complex-valued semilinear wave equation with power non-linearity in one space dimension. We show that the set of non character…