Explicit solution for the hyperbolic homogeneous scalar one-dimensional conservation law
Analysis of PDEs
2025-03-05 v1 Mathematical Physics
math.MP
Exactly Solvable and Integrable Systems
Abstract
A complex integral formula provides an explicit solution of the initial value problem for the nonlinear scala 1D equation , for any flux and initial condition that are analytic. This formula is valid at least as long as remains analytic.
Cite
@article{arxiv.2502.02111,
title = {Explicit solution for the hyperbolic homogeneous scalar one-dimensional conservation law},
author = {Didier Clamond},
journal= {arXiv preprint arXiv:2502.02111},
year = {2025}
}