PreprintCC BY 4.0arXiv
Strong traces for solutions of 2× 2 nonlinear hyperbolic systems
Abstract
In this paper we show that bounded entropy solutions of genuinely nonlinear 2× 2 systems of hyperbolic conservation laws admit a strong trace on Lipschitz curves. The main argument relies on a new half-space Liouville-type theorem for isentropic solutions with constant normal traces, providing the first extension to general genuinely nonlinear systems of the strong trace properties available for scalar conservation laws.
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BibTeX
@misc{talamini2026strong,
title = {{Strong traces for solutions of $2\times 2$ nonlinear hyperbolic systems}},
author = {Luca Talamini},
howpublished = {arXiv},
year = {2026},
month = aug,
doi = {10.48550/arxiv.2606.23497},
eprint = {2606.23497},
archivePrefix = {arXiv},
url = {https://arxiv.org/abs/2606.23497},
note = {CC BY 4.0},
}
RIS
TY - UNPB
TI - Strong traces for solutions of 2× 2 nonlinear hyperbolic systems
AU - Luca Talamini
PY - 2026
DA - 2026/08/29
PB - arXiv
DO - 10.48550/arxiv.2606.23497
UR - https://arxiv.org/abs/2606.23497
AB - In this paper we show that bounded entropy solutions of genuinely nonlinear 2× 2 systems of hyperbolic conservation laws admit a strong trace on Lipschitz curves. The main argument relies on a new half-space Liouville-type theorem for isentropic solutions with constant normal traces, providing the first extension to general genuinely nonlinear systems of the strong trace properties available for scalar conservation laws.
ER -