Formation of singularities in solutions to nonlinear hyperbolic systems with general sources
Analysis of PDEs
2025-01-14 v3
Abstract
We consider nonlinear hyperbolic systems with a general source and prove that for appropriately chosen smooth initial data the lifespan of the associated -solution cannot be infinite. We employ ideas of F. John (1974) and L. H\"ormander (1987) to show that the derivative of becomes unbounded in finite time.
Keywords
Cite
@article{arxiv.2204.12101,
title = {Formation of singularities in solutions to nonlinear hyperbolic systems with general sources},
author = {Johannes Bärlin},
journal= {arXiv preprint arXiv:2204.12101},
year = {2025}
}