Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
5778828 | Bulletin des Sciences Mathématiques | 2017 | 41 Pages |
Abstract
We consider a vector-valued blow-up solution with values in Rm for the semilinear wave equation with power nonlinearity in one space dimension (this is a system of PDEs). We first characterize all the solutions of the associated stationary problem as an m-parameter family. Then, we show that the solution in self-similar variables approaches some particular stationary one in the energy norm, in the non-characteristic cases. Our analysis is not just a simple adaptation of the already handled real or complex case. In particular, there is a new structure of the set of stationary solutions.
Related Topics
Physical Sciences and Engineering
Mathematics
Mathematics (General)
Authors
Asma Azaiez, Hatem Zaag,