7 papers
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…
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…
Classification of the blow-up behavior for a semilinear wave equation with nonconstant degenerate coefficients
Asma Azaiez, Hatem Zaag
We consider a nonlinear wave equation with nonconstant coefficients. In particular, the coefficient in front of the second order space derivative is degenerate. We give the blow-up…
A modulation technique for the blow-up profile of the vector-valued semilinear wave equation
Asma Azaiez, Hatem Zaag
We consider a vector-valued blow-up solution with values in for the semilinear wave equation with power nonlinearity in one space dimension (this is a system of PDEs…
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…
Blow-up rate for a semilinear wave equation with exponential nonlinearity in one space dimension
Asma Azaiez, Nader Masmoudi, Hatem Zaag
We consider in this paper blow-up solutions of the semilinear wave equation in one space dimension, with an exponential source term. Assuming that initial data are in $H^{1}_{loc}\…
Blow-up profile for the complex-valued semilinear wave equation
Asma Azaiez
In this paper, we consider a blow-up solution for the complex-valued semilinear wave equation with power nonlinearity in one space dimension. We first characterize all the solution…