Structurally Stable Singularities for a Nonlinear Wave Equation
Analysis of PDEs
2015-03-31 v1
Abstract
For the nonlinear wave equation , it is well known that solutions can develop singularities in finite time. For an open dense set of initial data, the present paper provides a detailed asymptotic description of the solution in a neighborhood of each singular point, where . The different structure of conservative and dissipative solutions is analyzed.
Cite
@article{arxiv.1503.08807,
title = {Structurally Stable Singularities for a Nonlinear Wave Equation},
author = {Alberto Bressan and Tao Huang and Fang Yu},
journal= {arXiv preprint arXiv:1503.08807},
year = {2015}
}