Threshold of Singularity Formation in the Semilinear Wave Equation
Liebling, Steven L.
arXiv, 0502056 / Harvested from arXiv
Text on arXiv
Solutions of the semilinear wave equation are found numerically in three spatial dimensions with no assumed symmetry using distributed adaptive mesh refinement. The threshold of singularity formation is studied for the two cases in which the exponent of the nonlinear term is either $p=5$ or $p=7$. Near the threshold of singularity formation, numerical solutions suggest an approach to self-similarity for the $p=7$ case and an approach to a scale evolving static solution for $p=5$.
Publié le : 2005-02-11
Classification:  General Relativity and Quantum Cosmology,  Mathematical Physics 
@article{0502056,
     author = {Liebling, Steven L.},
     title = {Threshold of Singularity Formation in the Semilinear Wave Equation},
     journal = {arXiv},
     volume = {2005},
     number = {0},
     year = {2005},
     language = {en},
     url = {http://dml.mathdoc.fr/item/0502056}
}

Liebling, Steven L. Threshold of Singularity Formation in the Semilinear Wave Equation. arXiv, Tome 2005 (2005) no. 0, . http://gdmltest.u-ga.fr/item/0502056/